Maths-
General
Easy
Question
If
, then ![f o f left parenthesis x right parenthesis equals](data:image/png;base64,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)
- 10
Hint:
The composition of functions f(x) and g(x) where g(x) is acting first is represented by f(g(x)) or (f ∘ g)(x). It combines two or more functions to result in another function. In the composition of functions, the output of one function that is inside the parenthesis becomes the input of the outside function. i.e.,
- In f(g(x)), g(x) is the input of f(x).
- In g(f(x)), f(x) is the input of g(x).
The correct answer is: ![x](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAKCAYAAABi8KSDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHFJREFUeNpjYECAZCDuYMAEzVA5DHAOiMWR+IlAPIUBB/AA4j4o2wWI9zIQALuB2B6ILwCxMCHFBUD8C4j1CCm0BuI1UKdE4lOoBMSbgJgLiHmA+AwuZ4gC8TY0SR8gXoyukA2I1wGxNBZDlkNDiHQAAJxHEBolHuC4AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT54PC9taT48L21hdGg+wQ7kJQAAAABJRU5ErkJggg==)
Given : ![f left parenthesis x right parenthesis equals open parentheses 10 minus x to the power of 7 end exponent close parentheses to the power of 1 divided by 7 end exponent](data:image/png;base64,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)
To find : ![f o f left parenthesis x right parenthesis](data:image/png;base64,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)
![rightwards double arrow f o f left parenthesis x right parenthesis space equals space f left parenthesis f left parenthesis x right parenthesis right parenthesis
rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis space equals space left parenthesis 10 space minus space left parenthesis f left parenthesis x right parenthesis right parenthesis to the power of 7 right parenthesis to the power of 1 over 7 end exponent rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis space equals space left parenthesis space 10 space minus space open square brackets left parenthesis 10 space minus space x to the power of 7 right parenthesis to the power of 1 over 7 end exponent close square brackets to the power of 7 right parenthesis to the power of 1 over 7 end exponent
rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis space equals space left parenthesis 10 space minus space 10 space plus space x to the power of 7 right parenthesis to the power of 1 over 7 end exponent
rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis space equals space left parenthesis x to the power of 7 right parenthesis to the power of 1 over 7 end exponent
rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis space space equals space x](data:image/png;base64,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)
Thus,
x
Related Questions to study
physics-
A graph of moving body with constant acceleration is given in the figure. What is the velocity aftertime t ![?](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAANCAYAAABlyXS1AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAFBJREFUeNpjYGBg8APiw0D8A4g/AfFsIBZngIJNQGwJxExQvgdUMU7wA5cEyJQ12CRsgXgxEPOgSxgA8UIku1EAyBGCuOz6w0AT8J9sSQwAACByDRAMT+pMAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4/PC9tbz48L21hdGg+UBDergAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
A graph of moving body with constant acceleration is given in the figure. What is the velocity aftertime t ![?](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAANCAYAAABlyXS1AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAFBJREFUeNpjYGBg8APiw0D8A4g/AfFsIBZngIJNQGwJxExQvgdUMU7wA5cEyJQ12CRsgXgxEPOgSxgA8UIku1EAyBGCuOz6w0AT8J9sSQwAACByDRAMT+pMAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4/PC9tbz48L21hdGg+UBDergAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
physics-General
physics-
The graph of displacement (x)
time (t) for an object is given in the figure. In which part of the graph the acceleration of the particle is positive ?
![](data:image/png;base64,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)
The graph of displacement (x)
time (t) for an object is given in the figure. In which part of the graph the acceleration of the particle is positive ?
![](data:image/png;base64,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)
physics-General
physics-
In the above figure acceleration (a)
time (t) graph is given. Hence ![V invisible function application alpha horizontal ellipsis horizontal ellipsis](data:image/png;base64,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)
![](data:image/png;base64,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)
In the above figure acceleration (a)
time (t) graph is given. Hence ![V invisible function application alpha horizontal ellipsis horizontal ellipsis](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
Here is a velocity - time graph of a motorbike moving in one direction. Calculate the distance covered by it in last two seconds.
![](data:image/png;base64,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)
Here is a velocity - time graph of a motorbike moving in one direction. Calculate the distance covered by it in last two seconds.
![](data:image/png;base64,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)
physics-General
physics
According to Kepler, the period of revolution of a planet (T) and its mean distance from the, sun (r) are related by the equation
According to Kepler, the period of revolution of a planet (T) and its mean distance from the, sun (r) are related by the equation
physicsGeneral
chemistry-
Which of the following ions forms highly soluble hydroxide in water
Which of the following ions forms highly soluble hydroxide in water
chemistry-General
physics-
Here are the graphs of velocity
time of two cars A and B, Find the ratio of the acceleration. after time
.
![](data:image/png;base64,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)
Here are the graphs of velocity
time of two cars A and B, Find the ratio of the acceleration. after time
.
![](data:image/png;base64,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)
physics-General
physics-
The graph given in the figure shows that the body is moving with.....
![](data:image/png;base64,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)
The graph given in the figure shows that the body is moving with.....
![](data:image/png;base64,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)
physics-General
physics-
A particle is moving in a straight line with initial velocity of
A graph of acceleration
tine of the particle is given in the figure. Find velocity at t=10 s.
![](data:image/png;base64,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)
A particle is moving in a straight line with initial velocity of
A graph of acceleration
tine of the particle is given in the figure. Find velocity at t=10 s.
![](data:image/png;base64,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)
physics-General
physics-
In the figure there is a graph of
for a moving particle. Hence ![fraction numerator d a over denominator d t end fraction equals horizontal ellipsis. V](data:image/png;base64,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)
![](data:image/png;base64,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)
In the figure there is a graph of
for a moving particle. Hence ![fraction numerator d a over denominator d t end fraction equals horizontal ellipsis. V](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEkAAAAjCAYAAADYHCfgAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAgJJREFUeNrtmUFERFEUhp8kSSIjLVrMZlYtEslIZhEtkhYZklmNNmnRMmaRMZJ2SdKmRZJkGKNVZpckSSRpkbTNLEZkFhlp8/ovZ3Sd3utdaXgz5/58vPvuXbz5nXPvuXMc52+qgTbHylcx8GBt+F2zIG9t+FY32AFV8AGKYBdktDUq7dZABXyCexCVYpD68edggZ57QA64FE11nZKRvbSuwOZbWlkWMXU9gwF6TpEpug7BtBSTXijdeHTVtLGKtDG25kJKug3Tj+WKkzF+pYB6fpcSRUlw5PFepdeBNn5l8+PgTtIxX/B4r4xb1MZl0Mn2saIUk7rAI6Wd0gidYmW2Ka+DPUoztQ8dg5KkGqkfnFB9dA0mwBuLHKVViroszVWarAS41IKBa5Tqvn9XX5MFg9pj533mzsCkvVM4ThpsebxPsJNctBK0rXCpLWYoLB/pGtBItdNeq2uKDiErTU/sQLr1uzW4DSbMymulzRzYDNsHhsHgFbBEzzcgYpPrp2bo34s01X1WHorQaXblUSw3tXgqBo2dgPStsnupNclDG436UNtaChBvLcUop6008dZSUnqVGtRayrG6JiPNINPWkqhWEpdJa6l+/4lKNcmktcTHomTaWor7rBMh09ZSiu4+Yo95k9bSNliWapJpa0mVA/uSayST1tIgGafKgo5WM+ALyoOnNUal+rgAAAC/dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtcm93PjxtaT5kPC9taT48bWk+YTwvbWk+PC9tcm93Pjxtcm93PjxtaT5kPC9taT48bWk+dDwvbWk+PC9tcm93PjwvbWZyYWM+PG1vPj08L21vPjxtbz4mI3gyMDI2OzwvbW8+PG1vPi48L21vPjxtaT5WPC9taT48L21hdGg+6u9S4AAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
physics-General
physics-
In the figure Velocity (V)
position graph is given. Find the true equation.
![](data:image/png;base64,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)
In the figure Velocity (V)
position graph is given. Find the true equation.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAY8AAAC3CAYAAADqxNKTAAAgAElEQVR4nO2deXQUZbr/v93V+5J0ZyOGBIjKEBDDKosSNlFURJBxARkdRweUceZcnavH8Z7z01nUq/fOjLiMjsOoqKgjKKJeMaJXEbkKyEFElFVBJSGQhHSWXqqqq+v3B+d5ebvosGgI6fB8zuGk6aW6qrrq/b7P+tpM0zTBMAzDMMeB/WTvAMMwDJN9sHgwDMMwxw2LB8MwDHPcsHgwDMMwxw2LB8MwDHPcsHgwDMMwxw2LB8MwDHPcOE72DjDM0UilUjBNEzabDXY7z3cYpivAdyLTZUilUtA0DYZhAACSySRM08S+ffvw05/+FH/84x+h6zqSySRSqZR4vbtgmqY4HhJMepxMJk/mrjHMYbDlwXQp7HY7UqkUgIPiYbPZ8NJLL+HDDz8EALS1tSE3NxepVAo2mw3JZBIOhwM2m+1k7vZxYZqmOEbab5vNJoTT7XbDbreL1+x2O1tcTJeDr0imS0CzbkVRxMDpdDrR2tqKpUuXoq2tDXV1dfj8889hGEbazDybIPeboijiWOl4XS4XvF6vEApd16Hr+kneY4bJDIsH02WQZ+SpVAqJRAJvvvkmvv76a6RSKXz33Xd45ZVXUFNTA0VRxCCcbVYHiZ5pmkIIyWUXj8ehaRoAwOFwwOFwwDAM4cpjmK4CiwfTJZCFgALjX331FRYsWIDGxkYAwL59+/C///u/2LRpE4D0gTjbME0zLX5DFonT6YTL5UoTUrJSGKYrweLBdBloEKUA8cqVK7Fp0yakUikoigLTNLF//36sW7cOjY2NWWVxELTP5KJzuVxQVRW7du3Ce++9h1WrVuHAgQNIpVIwDEMIJAfMma4GiwfTJaBBkgbN+vp6rF27FrFYDADELDwajWLlypX47LPPxPuzyfqw2Wxif+12O5LJpLCw7rnnHjz11FPYs2dP2nuz2cJiui8sHkynQcJArhoAaam5FANoaGjAokWL8Pnnn6OsrAz5+fmw2+3o378/+vXrh927d+Pdd99FfX19WlZSV4IC3RTLkEVO0zSYpglVVbFu3Tr87W9/w6uvvgq3242qqioUFRUJYQEOufQYpivBqbpMpyHPomWfPgARJHY6naitrcXmzZtxySWXYNKkSVi7di3+9re/4ZprrsGgQYOwcuVKOJ1ORCIRFBUVnazDaZdkMgm73Q5N05BMJuFyuQBAiIfNZkM0GsXGjRvxhz/8AU1NTaiqqsLFF1+MsWPHoqCggNNzmS4PiwfTadBgSIOorutiYDUMA06nE7quo2/fvrjjjjsQCoVQVFQEwzBgs9lQUlKCCRMmYNCgQUgmk+jRo0eXHGBN0xS1J/RP0zQhCPv378cbb7yBZ599FqZpYt68eZg0aRLy8vLg9/uFu8rpdIpal654nMypDYsH02nYbDbhvrHb7VAUBYZhwOFwwOv1CkskNzcXAwcOBAC0trYiFosJ9w8AlJaWiu11xViAw+GAqqpwu90iq4rcUNu3b8fjjz+O5cuXo7S0FI888gj69++PQCAgREbXdXg8HiiKAqfTebIPh2EywuLBdCqy9WGz2WAYBhKJBFwuF1KplBh4VVWFz+dDTk4OcnJyYLfbUVhYCJ/PByC9ZYfL5epScQ+yNkgknU4n6urq8Oabb+If//gHdu3ahSFDhuDRRx9FeXm5sLiorsPpdKZVnlOsyOHg25XpOvDVyHQqsVgsrQWH0+kUhXKUjku1DjabDYlEAvv27UsrlpMrsrtq8RzVaqiqiq1bt+LJJ59EdXU1NE3DvHnzMHfuXOTl5cEwDHi9XpFIQMJBgkH/70riyDAAiwfTiZimic8++wzffvstJk6ciMLCQmFtJJNJMfumugZyZ8XjcSSTSWiaBpvNBl3XhQB1xQpzcqVRNtXTTz+NNWvWoLKyEldddRUmTJiAgoICxGIx5OTkiApzOnbZHZdKpYSLj2G6EiweTIdDg6GiKGl/E4kE1q5di9WrV2PAgAHIz88XlgNVUdOgSQOpaZrIy8uDaZpobW2Fpmlwu91iRm4YxkkVEGvMhYSvrq4O69atw4svvogtW7bg0ksvxXXXXYe+ffvC7XbDMAzk5uYKS4r6XBHW88EwXQ0WD6ZDoRRcXddFQJw65e7fvx9fffUV1q9fj40bN6Jv377w+XxQVRVOpzNNBGjGbRgGPB5PWgxAbqJ4Mo+TAuGyiJmmic2bN2PRokV4++234XQ6MWvWLFx77bXo1auXeD8JxdHiGF3NqmIYgsWD6VBILMjnTxaEpmlYv349PvvsM9TX12Pp0qUYN24cevXqBafTKcQCQNpgDAAtLS1IpVLwer1CPOQeWCdzgJXXFKmvr8cHH3yAJUuW4IsvvkBFRQV++tOf4oILLkBJSQkLAdOtYPFgOhQaSBVFQTKZFAKwf/9+VFdXY/v27Ugmk1i3bh3WrFmD0047DS6XS8zAyc1FAy09b7PZRLtyeg+Ak1b/QE0MKRZTX1+Pf/zjH6iurkZubi6uvPJKXH755aioqBC1G1yrwXQnWDyYDoWyosgyoKyhrVu34uOPP0Y8HofdbkckEsHixYtx/vnnIxgMwuv1itRWAIct9uRwONLW+iDrhALNnTmrN00TbW1t8Hq9aGlpwbp167B48WJ8+umnmDZtGq688koUFBSgqKgIDodD1LaQxcQw3QEWD6ZDoQGfqqlTqRQOHDiAjz76CN9++60IpttsNqxatQq7d+9GZWVlWpaRXKGdSqVQXl6OadOmpcUMZAunswdk0zTh8Xiwb98+LFy4EC+//DIOHDiA22+/HVdccQVKSkqEqNE54cA3091g8WA6HLk2QdM0rF69Gm+++SZ0XU8TiObmZqxYsQLDhw8/rNcVuaUURcGwYcNQWloq+ljpui4G55PhCkqlUmhubsZjjz2GBQsWoLCwEDfddBOuvvpqFBYWwmazweFwQNM0JBIJOJ1OeL3eTt9PhjmRsBOW6XDIOtB1HYlEAuvWrcP27duhKAocDgdcLpdIRX3rrbfQ1tYmqsUp1TUWi6GxsRGNjY1wOBzo1auXCMKTRSN35P0xtGcVyM/L64w0NTVh/vz5ePbZZ1FSUoJf/vKXmDt3LnJyctLcdS6XC8FgULQpybb28QxzJNjyYDoUqgInyyESiaC6uhqFhYXIzc1FNBrFgQMHkJubC5fLhbq6OvzP//wPZsyYIURH0zR88skn+PTTT5FKpXDbbbfB7/cDODjrb21txXvvvQefz4cxY8aIQfuHQG3grZlb1DaeXE+qqiKVSqGmpgZPPvkk3njjDUyePBnXXXcdRowYIYLnhJw5JqcZM0x3gcWD6VCoStxmsyEejyMajWLq1Kno3bs3SktLsXz5cnz22Wf42c9+htNOOw2bNm1Cz549hUVB9RMbN27EwoULMXToUMTjcfj9fjHINzc3o6mpCfn5+T9qQJaXeQWQJnr0Wjweh67r+O6777B582a89tprqK+vx+9+9zuMGTMG5eXlYt+pzQjDnAqweDAdCsU7dF2H2+3GgAED8Lvf/Q4+nw9tbW3YsGEDysvLUVVVhQEDBmD8+PEIBoNp7Th8Ph/Gjh2LNWvWYN++fWhtbUVeXh4cDofodeX1enH66aeLbrQ/BHIlya4muY7EbrejtrYWH3zwAVasWIHNmzdj2LBhuOWWWzBixAghNGSdsHAwpxIc82BOCHa7XQS0qc5B13WoqopgMCjqQHJyckQAnD6nKAqGDh2KSy+9FLt27cI777wj3EuNjY3Yvn07AoEAwuHwjxqwKe5C0P6mUim0tbVh3bp1ePzxx7FgwQK0trZi3rx5+H//7//h3HPPFeuQ0D53hap3hulM2PJgOhRFUaDretpCTzSbJzdWIBCAx+M5rJcTzfhpAB4zZgx69eqFpUuXYtasWfB6vairq8O+fftEj6gfk21FgkWNGYGD1khDQwM++ugj/Otf/4LX68Xs2bMxcuRIVFRUiOA3dfUlq4f2meMazKkCiwfT4VDtBc3IVVUVxXK0LgUtjkRNDmm5VhIaTdNQUlKCq6++Gg8++CBee+01jB8/Hps3b0YoFELv3r0PayZ4vMjBccry+uqrr/DSSy9h7dq1GDZsGGbMmIEBAwYgGAwikUikBdZpLXKXyyUsFnm7DNOdYbcV0+FQU0RaQpVEIScnB36/H5FIRLwGHHJVyems9Llp06ahf//+ePnll9HU1IRdu3ahoqIChYWFUFX1R7mtSMxM08T+/fvx6KOP4rrrrsPy5csxevRoEdvw+Xyw2Wzw+/1oaWmB3W6Hruti3RHDMKCqKgAWDubUgS0PpsNxu90AINxWZIFQNlNJSQm8Xq94XW7bLq/v4XQ6UVBQgAsvvBAPPvggHn/8cQwePBiDBw8GAHi93qPGGDIFxOW/yWQSmzdvxoMPPoiPP/4YkydPxo033ojKykr4fL7D3FHhcBg2m00cIx0fw5xq8FXPdAqmaSKRSCASiSAWi4kCP7l1h1wTQa4hj8eDMWPGwOPx4KuvvsKQIUPSuu7qun7Ewju5VxbFNaiFSjQaxdtvv43f/va3qK+vx8MPP4z7778fZ599NgKBgEg5lq0JtiwY5iBseTCdBq0WSK3V5WCzdVB2Op3i8cCBAzF+/HgEAgFUVlaK16i+4kgDOsVcKLai6zqSySS+/vprvPjii3jvvfcwatQo/OpXv8IZZ5yRFs/weDwn4CwwTPeAxYPpNCiW4XQ6RT0IIRfsUcaVvK73ddddh4KCAlFpbhgGNE1LS5nNRCqVgtvtFoIQi8WwatUqPPfcc/jmm29w0UUX4YYbbkBpaWlaB9yjLdLEMKc6fIcwnQatfUHIsQfr8rPAoViJy+VCVVUVnE7nYQ0Uj9bmnALiDocDkUgEy5cvx9NPPw2Hw4FbbrkFU6ZMQWFhYdpyuPJ6IQzDZIbFg+k0yJIgl5W8GmAmqDstCYiqqvB4PCJ2cSzWgcPhQHNzM2pqavDBBx/g9ddfR2VlJa644gpUVlYiJydHpOnSd8ltShiGyQyLB9NpUBV2pjgFWRDycrSyNUCDuywoZCUc6btisRjef/99LFq0CJqmYebMmRg/frxYG0RuikjfAUCk4jIMkxkWD6bTkS0Oealaeo2QLRK5FoQK8qj4UM7WonRfVVWxYcMGLFmyBBs2bEAgEMANN9yAiy++GG63W7RMl/eF3GjkHmMYpn1YPJhOg4TBmjbbXstyq5BompbWhFBelpYsjWQyifr6eqxatQovvPACampqMHHiRFx77bU488wzEQgERIzF6p6SxYpTchnmyLB4MJ2KLCDAoQH7aIFv0zTTUnTpMaXhtra2wuv1ora2Fo899hg+/PBDTJ06FVOnTkWfPn0QCASgqiri8Tg8Hg+LA8P8SFg8mE6BsqQodZZSbOW1y4+GbGFQoR8t9woA//d//4e//OUviEaj+M///E8MGjQIPp8PPp8PhmHA7/eLug9FUTimwTA/AhYPptOIx+OIx+NwuVxi4KYA+dEsAWrpTkFzwzBgt9tRX1+P9evXo7q6Gm+99RYuu+wy3H777QiFQiKOQZ+j75KXheXWIgzzw2DxYDoNqjAnsaAaDODYYgz0XsMwoOs6Ghsb8dBDD6G6uhqhUAjz5s3DNddcgx49eghxoLbtclEhfT+7rhjmh8PiwXQaTqcTXq9XDOhyjcfRCvMoRTeZTMJut+P777/H4sWL8fnnn2PQoEG4+eabUVVVJdYedzqdousufZa+kzK8WDwY5ofD4sF0Gg6HA16vVwSs5TU/5EpwufaCXEu0tnk8HsfWrVvxyiuvoKamBrNnz8a4cePQq1cv8RlK6ZUXi5JjJS6Xi1NxGeZHwuLBdBoUb6BW6vIATgV/JCLUiwqAsCJqa2vx4YcfYsWKFVAUBbNmzcLYsWORm5srrAhK5c2U9itXpLPVwTA/DhYPptOQ1+uwBqplC4RWFiTrpLm5Ge+99x6WLFmC2tpanHfeeZgxYwb69+8vOvQyDNO5sHgwnUYikUBTUxOi0aio5gZwWIW4pmki/tHY2IgVK1bgz3/+M8LhMK655hpMnToV+fn5sNvtnC3FMCcJFg+m05DXytB1XayXQUFsilNQplRNTQ2eeeYZLFq0CFOmTMFvf/tbhMNhuFwuETzn2AXDnBxYPJhOIxgM4rTTTkMwGEzra0XxiFQqhXg8Dk3T8NVXX+Ghhx7C9u3bceutt+LGG28ULUoURRHNEhmGOTmweDCdAmVCeTwe+Hw+uN3utNRc0zTR1taGbdu2YfHixVi9ejXOOussPProoxgxYgQcDgdUVYXf7xe9saixIcMwnQ+LB9OhyD2qrI9jsRhaWlpEIJwyrpLJJCKRCD744AO8+uqr0DQNV1xxBaZPn46ysjLoug6XywW/3w9d12EYBi8RyzAnGRYPpkORg99y2q1pmqI9CXW1paD5vn378OKLL+Ldd9/FhAkTMH36dPTu3Vu0RqelZ4GDabtyG3b6LoZhOhcWD6ZDoZRbglJuycpwuVxwuVzQNA0NDQ349ttv8dZbb+Hrr7/GDTfcgDFjxqBHjx5iISgq6JMXkaIAO30fiwfDdD4sHkyHQ00L5XoOwzAQj8eRSCTgdruxY8cOLFy4EN999x0URcG//du/Yfjw4UIs5IWaqD6EhEl2h5H1wgLCMJ0LiwdzQrA2PTRNE9FoFLW1tViwYAGcTiei0SjGjx+P888/Hz/5yU8AHCokpGwqp9OZZl3Ir9N2WTgYpvNh8WA6FLkvlfV50zQRiUQQiURw+eWXY8qUKejVqxfy8vJEDIQaG9Ia5bILjNJ0rWucc6Egw3Q+LB5Mh0IuK03T0NLSgsLCQvFaMBhEWVkZJk2ahCuuuAJ5eXlQFEV8RnZ1JRIJsWIgLRzldDqRSqUQi8Vgs9ng9XpZOBjmJMF3HtNhUFwimUxi3bp1ePvtt/H9998L11JjYyNisRhKSkoQCoXgdDoRj8fT2qPH43G88847uO+++7Bu3ToRHNc0DYZh4Msvv8Rzzz2Hd999F83NzWI5W4ZhOhe2PJiMUAt0WvGP3EnU/ZbSaKmZoc1mQzwex969e/HOO+/gueeeQ0VFBSZNmiT6VRmGgWQyKVJvKQ1X13VhgTgcDkQiESxduhQHDhzAkCFDxBog9P0bN26EzWZDbm7uEdcAYRjmxMHiwbSLXItB62RYX6e26Tt37sT69evx5ptvYufOnRg7dizuvPNOsaqf2+2Gx+MRA768fjhZHbT9oUOHon///ti0aRN27dqFyspKsZzsvn37UFBQgKuuuoqFg2FOIuy2YjJCiyaRG0pVVZHpBCCtDmPbtm2499578fvf/x579+7FnDlzcPfdd6OgoEAs8KRpGjRNQyKRQCKRSFu7g+IcFPM4/fTTcf7556OpqQmffPIJVFVFMplES0sL9u/fj/LycoTD4ZN5ehjmlIfFg8kIWRXkSvJ4PGnpsTTYa5qGpqYmKIqCiy++GHfddRdmzpyJ3Nxc4d6S6zSooy5ZNCRGZOUAB4Vr7NixKCsrw9tvvy22v3fvXhiGgYsuuoitDoY5ybDbimkXSpOl/lNyWxC5Z9VZZ52Ff//3f0c4HEZpaakQBZ/PB03T4HQ6oSgKotEoFEURKwnKnXFpuyQq/fr1w5AhQ/DMM89g9+7dCIVCqK6uhq7ruPrqq0/C2WAYRoYtDyYjVOVt7XyrqipaW1tFAN3pdKKgoACVlZUoKysTvaeoUpxqNWw2G3RdBwB4PB5Ry0FQlTh9xuVyoaqqCsFgECtWrMCBAwegqir69+/P6bkM0wVgy4PJCFkWNOArioLdu3dj2bJlqKmpweWXX45zzz0XNpsNqqrC4/GIzCsSHIpnUJYVALjdbrjdbuEOo9gHZVvJ7qtzzjkHEydOxMsvv4ympiYUFxfjggsuOEw8EokE1qxZg++//x5lZWXweDwYNWoUVq5cKR4zDNOxsHicwlhbe1DbdJ/PJwbxeDwOn8+HHTt24JFHHsH777+P4uJizJgxQ6Ttut1uIQ4Ox8FLSq4yt9vtIvZBWVtOp1MsAmXtX0WfD4VCuPLKK7Fs2TK89dZbeOihhxAMBtP2eeHChfjFL35xxON84okncPPNN3fouWOYUx22/09haBBOJpOiVbrP50tLz/V4PNi0aRMefPBBrFy5Epdccgn+/Oc/Y/jw4UJsqPcUuaIy9Zqi56x/SaQoe4teI8E566yzMHnyZEycOBH9+vVL22YkEsGcOXMyHpvb7cbQoUMBACtWrPiRZ4phGCtseZzCGIYBwzCEFUADOhX9NTU14aOPPsLLL7+MQCCABQsWYPDgwSIWQqv5UfbVsWRAWQPucnPDTJ1yS0pK8Jvf/AY+nw9nnHFG2ue3bt2KZDKJiooKEURXVRVXXXUVhgwZgkgkgv79++O1117DsmXLMH369A4/hwxzqsLicYpCM36XyyViDHK3WgAiDjF58mRMmjQJxcXFol1IMpmE2+0WmVhyG/b2utySRUGCIT9H1epyIJ1iIcOHDz9MXBRFQSKRAAD06dMHv//97wEctEZCoRAAICcnB0888QQuv/xyPPnkkyweDNOBsHicosjBbWoPAiCt/sLn82H69OnidRIOslTkCnSPx5PmesoEZVHJ4kFWCyGLhJwiTPtG+6HrOkaNGoXi4mJUV1fjgQcewKhRo1BRUQHgoCtu5cqVeP311wEAxcXFHXsCGeYUh8XjFIUqyCnlNhKJoLa2FsXFxSgqKhLWBVkE8kp+hGwpUMD8SGtr0HbofXKchF6n5ymYLhcOygtBkZXz0EMPYdasWbjrrrva/d7i4mLceeedP/qcMQxzCBaPUxgShLq6Orz88svYuXMn5s6di4KCAgAQAzvFNVRVFem39HnKuKJB/kg1GJqmIRqNCgtFXp6W/k8kk0lRSEgWkt1uT3tsmiauvvpq9OnTB9XV1Vi7dq1wZQFAKBTCyJEjcfPNNwtXFsMwHQOLRzdGnqnTwEwV34ZhIBqNYsuWLVi8eDHq6uowceJElJWVCddQIBAQAkPbkgdu2UKQrQf5e+XK8Xg8Dk3TxGsUJ7GuDAikC4kcXJdTeenvqFGjuJaDYToZFo9uDsUk5MHeNE3s27cPb7zxBp5//nkUFhbipptuwujRo+HxeIQgAOmDtLUTbqYBXo6ZyKJCqwRas7qsloq1wy6ANMHI9J0Mw3Q+LB7dGJrdywM/rbvx1FNPYdGiRejXrx9+/etf45xzzoHb7RZxEFkojvc7M0HWCPW5AtIFgoWAYbILFo9uDg3QFAB3uVxwOBw47bTTMGXKFMycORODBw8WsQy5WeEPwSoCsitKVVXoun6YdWFta8IwTNeHxaMbQ/UXcn0FZSldf/31YrVAVVXh8/mgKApaW1sRCAQ6fF/IbQWki4XcooRhmOyB25N0YxRFQVNTE6qrq7F161Yxs4/FYsKV5fV6EQwGxfodtETsD0WOq8hdc6kH1mmnnYZAIJAW92AYJvtg8eimkBh88MEHuO+++/Dqq6+itbUVqVQKgUBApL0ahiGynWhdckq77ch9kSvRgcOLARmGyS5YPLIEGtStRXVyNhO5oVKpFFpbW7Fy5UosWbIEdXV1CIfDcLvdadlQiqKIQjw5JbcjXEhy9hW5qaLRKFpaWqDruihAtLYrYRgmO+CYRxZwJEuAWofIa2LE43FUV1fjsccew7fffotJkyZh3Lhx8Hq9Iu4gV4vLmVWUovtjkIXAuuCT2+1O658lt2FnGCZ7YPHIEmRrgNxNVLAnV2rHYjG88MIL+Ne//oW6ujpMnToVs2fPxplnnikC5p2R2WRtfEgpupqmQdM0sd9yQJ9hmOyBxSMLsNvtIl7gcrnSFlmy2+1IJBJCQDZt2oTHH38cDocDN910Ey677DKUl5cL9xGl4nZWWixZFqlUCpqmCXcVuc0ArvFgmGyExSMLoOVZqZstcEhQ5FX5gINNAH/+859j0KBBGDFiBHJycoSwdEZsgbYvu8WoL5amafB6vfB6vSJ+Q/vF7iuGyS5YPLIEqoWgYj+atZMLioLS5eXlmDdvHtxud9qMXi4W/KHV48eC3PVW/l7goIXh9/uF9SS3MMnUqoRhmK4Li0cWYLUWXC4X2tra8M0336ChoQEDBw5EcXGxGHwp5RY4ZAHQzJ5eO1GuIusys/LzqVQKqqoKoZAD/VxdzjDZBYtHF0Ee0K2dZeV0WsMwUFdXh/fffx9PPfUUbDYb7r77bhQUFIg0XFrgiVqpy4s2AQeLBE9EFbm8z9bVAA3DgKqqiMViaS1KyHXFVgfDZBcsHl0EqyuKLAb6F4/H4XQ6sX37dixatAjLli2DoiiYPHkyCgsLxep6Pp9P1E/IA7L8+EQJh4wsfFSImEgkEAgE4PV6hbjQeiAsHgyTXbB4dBEcDgfi8Tg8Hk9aFpJcwPfee+/hxRdfxKeffop+/fph1qxZGD16NHr06AEg3Xrp6oMxZ1gxTHbD4tFFkKutaWlYl8slMq02btyIe+65BzU1Nbjssstw/fXXY+jQoWJmbxgGvF6v2Bb97YqDdFfcJ4Zhjg8Wjy4CVV+TEFB2lez2KS0txYwZMzBjxgyUlpaKLCs5FVdVVdE5tyvSXkCdYZjsomuOMKcoVEBHAWRN08TzZ599Nv70pz+hoKAA+fn5acvCWoPU5LLqipaHdTVAhmGyExaPLgQV/tXU1KChoQG9e/dGXl4e3G433G43iouLEQ6H04QDONTW3G63w+VyiVhJVwtEs3AwTPeh64wspzDyokx1dXWYP38+7rnnHnz55ZfiPYZhIBwOi863TqczLZgOHBqcKWbSFWsnMtV/MAyTfbDl0YGQRWCdYVtbqJNFQDEKh8OBtrY2fPzxx3j66aexbds2XHXVVejXr59IuZWFgCrE5efkxycz3iG7yuTjpN5WFNSnuhNq1Ah0/QwxhmEOweLRgWRyy1irw6k9CPWZstlsqK2txV/+8hcsW7YMBQUFuO222wSP6CAAABr0SURBVHD55ZcjFAqlvb87QEJobWHSXY6PYU4VWDxOINa1LGQXEwXDd+zYgdtvvx2bN2/GwIED8bOf/QyXXHIJcnJy0rKuuhPyAlbU44rbsjNMdsHicYKwthih5+Q+U3a7HR6PBwUFBZgzZw6mTJmCyspKAAdjHN3J4gAOre1hFQkOpDNM9sHi0YHIMQ/gcOGgeIe8Vnjv3r1x7733Ijc3F7m5uYfFADKJULZCdSsOh6Pd1ikMw2QHLB4nCDlonEqlkEwm0dLSgtraWvTo0UO0FHE4HCguLk5roU5tyqkRYlct+Puh0LGR0GZKMmAYpmvDU74OxjoIGoaBRCKBxsZGvPDCC/j973+P999/Xyy/ChzKjqLUWxIN+T3dAXJbWS2z7nSMDHOq0L2mtJ1ILBaDx+NJq+amwZ9qLWiN7u3bt+Ovf/0rvvjiC/Tv3x95eXlIJpPweDwAcNgaG9RuhB5nExTTyRQAdzgc8Hq9QizpvfJnGeZEQPcncPgql/JjXdcBoNvFG08ELB7HiaZpItBNdRrJZBI+n08MliQcNpsNzz33HObPn49AIIBbb70VgwYNQt++fYWbit5rLejrLhcuue2oJXsikRDnjOpV2GXFnEhM04SmaUIQrN2qSTQcDkdaPNLa/odJh8XjOKEBT+4jRc9RoFtRFDQ2NuK5557Diy++iKFDh+Kuu+5CeXk5XC6XEApahrW70V69i91uh9frhcvlSjtuvjmZE4ncdDQej4s2PrIF4nA4oOu6EIvumibfkXS/kesEI1sbXq8XTqdTtE2nGQ0t5pRKpTBnzhxcc8018Hg8YlYji0x3xLquCN2kbrcbOTk5ackB1gw1hjkRkBXh8/nEc7QAWzKZhMvlgsvlEq+xNXx0WDyOE+orRUu8AukXGglCOBzG3Llz4fP5xEqANKuRff7dDbkwUn5MCQByphXRHc8D03WgCRvdm+SmkpczoAldplgIkxnOtvoB0EWlqipSqRSam5uxbds21NTUiICbaZoIBoNCKHw+n2hYaO111d2wpimnUinouo5EIpExQN5dzwPTNaDkDRIMTdNEjINeI29CMplEIpEAADHZYTLD4nGcyAOeoihQVRXV1dV44IEHsGLFCrEmB71HjmtQvEP2tXY3MlkVstg2NzcjHo8LEaE6D75JmRONaZpobm7GRx99hNdffx07d+4UguJ2uxGLxbB69WqsWrUKTU1NfE0ehU4XDyqYI8ik1DQN9fX10DQtrc6BzEl6b3vbpNdodt/eDJ/+ytuVkSvBrSJAf+kx1W4sXLgQ+/fvR3FxcdrqfvLMhZ6XtyPvuyw67WF93XpcmV4/0rboHNBvIp9D+dzK9SdH20dZLOS6DvqcHIRMJBJpRYLyd8rn6FiRz6/VfWY9Dut30bmgY5e/O9P2jsSRPmvd3yMdi/X/1mv4h267vfdbj7G95+ixdWbe3mOKAx5tv62/n/X9mZ63fk6+b+XHAER844svvsA///lPvPDCC4jH40gmkzAMAzt37sSiRYuwadOmNDcXk5lOFw8aKGlpVV3XsXHjRjz//PN48sknsX//fjGYWN0f7V1E8sBDn7OurmfdBwpu67oubnb5hqAW4rLIkDDpuo7t27fjgQcewMMPP4zi4mLceuutmDBhgqgOp1oHWazoOKz7Yj0Get568R+NTNZMpnMmf6f1Me13pu+2uplkoaUBwir2JEqU4hwOh8WCVZTaTG6CTNtu73jaO0Yr8nFkahdzpHMoX3OZzsexXI+Z9scwDCSTSei6nna9HU0sraJknYi1d6xWjnUiYIW2SddyprVZMonKse6P9X6xTvB0XUc0GkUymURjY6P4XKaJoPU6pGsxNzcXF110EQoLC7F8+XJs3boVyWQSzc3NeOedd+D1ejFx4kR4vd6Mx8gcolMD5nJQqrGxEVu2bMGWLVuwcuVKbNiwAUVFRfj1r38tfmggPVsHOHxGo+t6Wqqs0+kUz9GNSuuAm6YpZh/0OkEXGOV9ywssybUYqVQKS5cuxdNPP409e/Zg5syZmDlzJnr27HnYjJv2SR6A5KAdiRxVkrc387NWZsvFToR8fuQivSNtk46N2qTTQO9wOJBMJkUPqkwDo7xd+bjlzDNr/ypVVdHW1gbTNBGLxeB2u5FIJNLOFf3edE5oBtjedqnJJL2WaZ/or5wJJ/++dL50XRe+cWvtTSZxtw7A1u+0LtYl/270vHWSRPsnF1DKx0sDt9wfTBZ8eb/bE5JMmW7Wa4ueo8FZ3lfKJJS/21osS5Mo+TX5fqR71263C7cu/ebWIDZ9tq2tDUuXLkUqlcIZZ5yBESNGwOl0iu8ir4XT6RS/sRx3o8zI8vJyzJ07F7fffjv++te/4g9/+AN27NiBLVu24Je//CUGDhwIRVHY8jgKnSoeyWQSkUgEa9euxeLFi7F27VrE43G0tLQgkUigtLQUDQ0NaGhoEEJAgwbNVslqkQfU3NxcAAervvPz89Ha2gqfz4cDBw4gFovB6/VC0zRRzEcDl6IootgvFovBZrMhPz8fTqcTiUQC0WgUdrsdubm5cDgcUFUVqqri008/xfr163HnnXfi+uuvh9/vRyQSQSgUQjQahWma8Hg8iMfjcLlcUFUVAMR+UsCORE/Xdezfvx8FBQVisSS6mWOx2GF1EXSDEtYBNdP7MsVZ5FmePIOldvEU/LcOKPLM0prSSL+RpmkiPZeSClpaWtDc3IxEIoFQKCQGHpvNJr6TtkWiJg9E8nfIx2AVTnlgpzRMOn+yNWTt8EuFZPQ+OgbaFsWrjnV5X2uhmWmaacJkHaBJKOV9peOlY5MLUelYyBVIkxzZ6qVttjeDJmGQ/y8fKz0HHLqGZCuB9lG23uXtyL8X/Z/2nbYhX3uJRELc6/ReeSK5d+9evPLKK4hGoxgxYgTmzJmD0aNHi0mPdaJF55heo/MzcuRITJ48Gc888wxmz56Nnj174le/+hWGDh0qBI3uUbY+MmMzj9d2/RH86U9/wtKlS1FTU4PW1ta0WRRdxH379oVpmohEIsKl5HA40iqy6SahGXNeXh4Mw0BraysKCgrQ3NwMn8+HpqYmJBIJuN1u4SbweDxQVRU5OTlQFAVerxc2mw1tbW1QFAXFxcUiM4oCu8FgED6fD/F4HIZhYMeOHWhqasKgQYOEQNC2yQXj9/sRj8fFc6ZpIhQKwev1ipm3x+OBruuIx+Oor69HIBBAOByG3+9HKpVCLBZDLBYTFzAVN5FlQMdG9SNOpxM+n0/8PxaLieOibrZOp1PMqMiVRDc+fQ89TwManWeKTfl8vrQFnehmtdvtIvCYSCTg8/ng9XqhKAoaGhrw1ltv4fTTT0e/fv1QWlqK3bt3o6SkBI2NjWhtbUVeXp6YUdO51zRNrOFOl6o8MzcMQ0wAZPGgv3TtUHIDDQh0rDRQuVwuxGIxhEIh6LouJjrycdK5N00TDQ0NaeeThMEwDJHGTdepx+OBy+USLWl8Pp/YJzrP8XgcANJeIzepbFkVFhbCMAzU19ejvr4eiqKgpKQExcXFYiYv3yvyACjfM/R/ijvRPUgi7nA4kJOTI1a5pGuCzrPb7UY4HEYqlYKqqojFYkJ86fsou87tdqddf62trcjPz4fP54OmadA0DYqiwOVyYf/+/QgGgwiHw+Jcx+Nx2Gw2eL1efP7557jrrruwbds2+P1+9OjRAyNHjsQll1yCoUOHokePHnC5XDAMQ9zbdN0kEgkkk0n4/X40NjYiEolg9uzZ+Oabb/D3v/8dU6ZMgd1uF5NL+jyTmU4Vj3nz5mH58uWIxWJiYKKAld1uR2FhIaqqqlBWVob6+noxa6SZAM16aWZFn/f5fDAMQ1gZNDCTK4IsGLqxyRKgi5u2TRaOaZrIzc1FMBhEc3Mz6uvrxeBPN3JhYSG+/fZbqKqKUCgkAv4+n08MMvRdfr8fra2taG1thd/vh8fjEZZVNBpFIpGAx+PBgQMHEAgEUFhYiObmZjQ0NMDn84mByG63iwGZjp2OS1VVMdMHDmY20azT6peXZ6YtLS1wu93w+/1icPX7/UK4FUWB2+2G3W5HNBpFc3OzmD3L4iEvl0vfDRy0Xmj7O3fuhM1mQzAYRCAQgMvlQktLCwKBANra2tLatdMATiIg38TWlu7yTFZGnq3L1oscX6DrS7Zo6bNW9w5wyM0lb5e2TefM6gJyOp1C/DRNE+dVtmTIyqPjIxepPOunfZWD+3Rd0PfJbivZTWz9rWTxyOQ2BSD6kNH9SvtBYuv3+wEcnIREo1HhGqIJQzQaFdcKAGHpx2Ix8R1utxvBYBCpVEpMGAOBgFieQNM0tLW1ifcXFBRg8+bNaGtrg67rorAvNzcXPXv2xODBgzF79myce+65wuOgKIqYzMjuz7179+K1117DG2+8gebmZjz77LPo3bs3PB6P+BxbHu3TqeLR0NCASCSCd999F0uWLME333wjXEsejwezZs3Cf/3Xf8Hv9wtXijzjPGznLS4T2WVhjS20F8CT4xmyyU+fpZtbjgfQ51VVFTcuzfbpopNnx06nE5qmQVVVcQPRtslScbvdiEajogo2Ho8jGo2KWSTdvC6XS3wXuSwURUkL/BuGIVotUOCPzicNknQMra2tYiAgdxqJE50XcuUkEom0NFv5N5DdA8BB0WhubkZraytM08TevXvxxBNPoKCgAL/4xS+Qn5+PXr164euvv0Z+fj4OHDhwmLtETlCQf0N5MgEcEhNrDIEsBLfbjaKiIiGs0WhUuEZzcnLgcrlEIJYEN5VKid9J1/W0+p1kMilcmrLryyrONNGRByF5Zg4gbaCX3VZyCxuqhPZ4PGhra4NhGAiHw/B6vWhtbRX9wuR4Du2LNS5mvWfkpJBM9whdw/R/Ej3ZJUa/Ff0WFIcg0SELkqywlpYWxGIxxONx+P1+FBQUwDAM1NXVIS8vD+FwOC3ORdecaZpYsWIFXnnlFSEqZCH5fD7k5uZi+PDh+PnPf44RI0aI+8jj8aQJPgXIv/jiC/Tt2xexWAx33HEHSktLccstt6C0tBTBYFBcaywemenUmEcgEEAoFMKsWbMwZswYfPHFF1ixYgW+/PJL1NXVYf/+/Whra4Pf7xc3WSb/rxV5hmetJM00G6UbgvpSyYMSkD6TpVmlbO7TewKBgHifqqpwOp3iQiW3AQ1YZDXIYkY3I80mw+Gw2M9gMIhgMJgWrCSsPn869uO9yMmCov2TB+j2tnWscw15cDFNE19++SVCoRBGjBiBcePGCeurR48eaQOu/N10jkgk5e+XB0E50Cp/vzVWIbs75cGELB1y3VgD5dbAN233WM63HNexvl9+rb1jk+NWshUpH3umAPnRfkcrmX7XTNuQvzvTtq0WGj2W45R0TVvvO7ltDwmHvLaNpmnYuXOnmGgVFBSgoqICZ5xxBvr164fzzjsP/fv3R25urvgMuYnpnCQSCezZswerV6/GsGHDkJubi/z8fMydOxcPP/wwnn/+edx4441i0ibHX5h0OlU8aGANBoMYOHAg+vXrh3HjxmHHjh1YvXo1du3aJfzgwKGbINONJyPPro6UISM/J2fbZHofxRVoxi4PrtaZN2WQWPeHZuzyfllvPHq+vQaJR2uceKQb+WjQzZxpe0f7vqNBGW3WgUyOIdBgaBVmK0c7B8eaFSP3LrJ+5ki/Q1fOusmWxpryvSA/Ptb3mKaJ+vp6fP311ygsLMS5556Lvn374tJLL0VFRYWIFQHtTzANw8CuXbvw5JNPAgAuuOAC0etqxIgRqKysxPLlyxEOh3HFFVegtLT0xx10N6fTrzxrgLagoAAFBQUYOHAg9u7di/z8fDFbpIG6s2/ezz77TLgHAOC8884Ts1Pr7I9mxnQ8zCFkYSN3j2zVtTejZRgrdG0MHDgQQ4cOxfjx40V2IrnK2rt+6Pl4PI7a2lp4vV5ceOGFIiHAMAz4/X5UVVWJOGskEkFpaSlfk0fgpExbZH8sZUKFw2GEQqGMaYCdycqVKzFhwoS05+677z7ccccdSKVSqKurg9/vRzgcxs6dO7Fnzx6MGzcOqqpC07S02e2pTCZ3oa7rwjcvTwr4BmWOhaKiIlx11VVwu90IBAJQVVW4pY4Eva4oCioqKlBRUSGKVSk12OVy4fzzz8fQoUMBHHSxH0s69qnMSREPebCQfaEymQqkOoNRo0bh/vvvRyKRwPvvv4/Vq1fjpZdeQlVVFb7//ns89dRT2LVrF3bt2iU+c//99+OOO+7gQVBCdjkCEGIRDAZFERdw/G00mFMXm82GUCgkLHw5JfpYrP5AIACfz3dY0SDFw+h1il9yptWR6VTxsAbIgEOBNU3T4HA4xN+T1bbc4/HgjjvuQDwex4UXXogxY8Zg8+bNGDt2bNr7iouL0a9fP4TDYUydOhWJRCKthuJUpb0gqxx0tr7GMzzmWJCD55QEoarqUV2eFJek+i4ab4BDWZJyhiSl+R+twPJUp1PFI1PKrDX3nNb1JjeHnLbYWVBh2ciRI7Fw4UJcf/31AIBLLrkE06ZNw4QJE1BUVARFUUTGFXM4VsuDqvapmExOy2WYo0Fp8NTehGpf5Hqe9qAUd0ppp8lMS0uLSMtNJBJpE1fmyHT6WbJmLJFoJBKJtIpOuhhO1kyeCvhWrVolnistLcW1114rUnxpX7mNwSHkYLgsqvQ8pV/LqbeZahIYxgplUwGH+oNRGvexxD0o/ZdEhwoSKVtSbiOTKUWeSeekxTysoiAvDwngpDYmozjMf//3f+Ppp59GOBxGU1MTXnjhBQwbNgyzZs0SgXEaFGk2LYsNMWrUKGFRnQrI7kmaJFAyQXFxsVhP2tqDiGGOB5qM0OMjYe1jBhxK3ZbT9ukvWx9Hh6d6GbDb7XjiiSfwxz/+ER6PB8uWLcP48eMRjUZx22234ZNPPhFZQ1QDsmfPHgwYMAATJkw47J/X68Vtt92W1nq8u2JNwyUhpiA5VY0zDJPdsLxmIJFI4N577wUAPPLIIzjnnHOwfPlyjBkzBhs2bMBNN90kLAyfzweHw4Hp06dj27ZtGDx4MEKhUNr2Nm7ciPnz52P37t147bXXOv14TiayO4GCllznwTDZD4tHBpYuXYq6ujqMHTsWVVVVwqe6cOFCTJ8+Hd988w3mzp2L888/HxMnTsTOnTuxefNmDBgwAE899ZTIFQeANWvWoE+fPpgwYQKWLVuGv//977j55ptP4tGdWOQUXLm9i6qqiMfjaT24GIbJXthtlYHx48fjP/7jPzB//nyUl5eLJnz9+/fHmjVrcPbZZ6O6uhoPPfQQvvvuO2zYsAEAcOaZZ2LYsGGYO3cuVq5cifnz52P06NFYtmwZRo0aBQCIRCIn89BOOGRRWBc+osaQcr8jgOs8GCZbYcsjAz179sTdd98Nl8uFVColOnMCQE5ODt555x1cdNFF2LRpE1555RUMGTIEAPDGG28AABYsWIAFCxaI7a1fvx4LFy5Enz59urXVIdOeOBythQTDMNkBi0c70OJAtD4HALH2R1FREZYsWYL7778fl156KaZNm4atW7fin//8JwoLC9G7d28EAgEAQCgUwm9+8xuUlpZi5syZh8VDuivyGhMAxPomHOtgmO5Bp67nkW0caWCj2gRrR10eCNOhc/Tuu+/iwQcfxJw5c3D11Ven5dTLVcMMw2QHbHkcgaO1PMjUk+tUh+Yi8nKw5PqLx+NiJT2q9TmWlvsMw3Q9WDyYDsW6Tgmto0DWmXXJWK4sZ5jshO9apkPJ1LuMUnbpn2yxZep3xjBM14fFg+lQrOuwkOuKKvKPtOQqwzDZA4sH06FYm8lRzEPX9bSgODWp43oPhslOWDyYDqU9ETBNEy6XS6yVYIWrzhkmu2DxYDqUTMsHU8yD0nMp00qOd7DlwTDZBYsHc0KxpjRb3VXW7CyGYbIDFg/mhGKNabSXlstBc4bJLlg8mA4lUzaVvDIbtSghDMNI+8swTHbA4sGcUCgGQq3YqcvusTZMZBima8LiwXQo1vXLaZ1pTdNEnQe1LqH3A+27sxiG6ZrwHcucMOTmkVTnYRWJTFYIwzBdHxYPpkORu+QCEJZGIpGAoiiiiJAsDtkKYRgme2DxYDoU2V0lryoYjUbhcrngdruFgHAbdobJXlg8mA7FGvgmK4QsjEzL1Nrtdq4wZ5gsg8WD6VCsTRGpmtzlciGRSCASiYjAuZyeywFzhskueD0PpkNpL+XWbrcf1qLEGizndF2GyR54usd0KNZUXXJXGYaBUCiE4uJi2Gw2JJNJsbYHwEWCDJNtsHgwJxS5t5XX64XX6xX9reT3yOvAMwzT9WHxYDoc2R1FtR1utxvJZBKxWCwtyyqZTHK6LsNkISweTIeTSqWQTCYRiUSQTCaFeKiqClVVYbfbEY/HoaqqEA12WzFMdsG+AqZDMU0TmqahtrYWL730EiorKxEIBFBfX499+/bh888/RyqVwnfffYfhw4fjJz/5CTRNg8fjOdm7zjDMcWAz2V/AdCCJRALJZBK7du3C7NmzoaoqiouLYbfbsWnTJpSVlSEYDCIWi+Hhhx/GyJEjkUql4HQ6OV2XYbIItjyYDoVakJSVlWHs2LFYsGAB9uzZA7fbjba2NmzZsgU2mw1VVVXo1asXDMOA2+3mmAfDZBk81WM6FEVR4HQ64ff7MXPmTPTp0weapqGlpQWpVAqGYSAvLw8zZ85EUVERksmkiIswDJM98B3LdCiUOeVwODBo0CBMmzYNHo9HVJs7nU6MHz8e5513HlwuF3w+HxwOB1seDJNlsHgwHYrc9NDr9WLWrFno2bOnaEcSCAQwffp0lJSUiMWhrK1KGIbp+rB4MB2K3W4XvasURUHfvn1x0003wel0wul0omfPnujRowcCgUBaYSB312WY7ILFg+lw5HXMPR4PBg8ejLPOOguFhYW44IILcMYZZ6StKJhKpbivFcNkGZxtxXQ4iqKIKnO73Y7y8nJUVlYCAEaPHo3CwkIhGoqiCPcVwzDZA4sH06HIoqEoimiIWFVVBZ/Ph7KyMmFlUIdd+hxbHwyTPXCRINOhmKaZ1jGXAuF79+5FbW0tTj/9dITDYdEsETjY30oWEoZhuj4sHkyHI7uh5N5VhmFkXMecrQ6GyT5YPBiGYZjjhqOUDMMwzHHD4sEwDMMcNyweDMMwzHHD4sEwDMMcNyweDMMwzHHD4sEwDMMcNyweDMMwzHHD4sEwDMMcN/8f4R9Hc2aaMcEAAAAASUVORK5CYII=)
physics-General
physics-
Given figure shows a graph at acceleration
time for a rectilinear motion. Find average acceleration in first 10 seconds.
![](data:image/png;base64,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)
Given figure shows a graph at acceleration
time for a rectilinear motion. Find average acceleration in first 10 seconds.
![](data:image/png;base64,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)
physics-General
physics-
A particle is projected vertically upwards with velocity
. Find the ratio of average speed and instantaneous velocity after
]
A particle is projected vertically upwards with velocity
. Find the ratio of average speed and instantaneous velocity after
]
physics-General
chemistry-
Which one is known as barytes
Which one is known as barytes
chemistry-General
physics
The largest and shortest distance of the earth from the sun are r1 and r2 its distance from the sun when it is at the perpendicular to the major axis of the orbit drawn from the sun
The largest and shortest distance of the earth from the sun are r1 and r2 its distance from the sun when it is at the perpendicular to the major axis of the orbit drawn from the sun
physicsGeneral