Turito Academy

Test Prep

Global form fields

The general solution of  <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator tan space 5 x minus tan space 4 x over denominator 1 plus tan space 5 x tan space 4 x end fraction equals 1" width="162" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»tan«/mi»«mo»§#160;«/mo»«mn»5«/mn»«mi»x«/mi»«mo»§#8722;«/mo»«mi»tan«/mi»«mo»§#160;«/mo»«mn»4«/mn»«mi»x«/mi»«/mrow»«mrow»«mn»1«/mn»«mo»+«/mo»«mi»tan«/mi»«mo»§#160;«/mo»«mn»5«/mn»«mi»x«/mi»«mi»tan«/mi»«mo»§#160;«/mo»«mn»4«/mn»«mi»x«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mn»1«/mn»«/math»'/> is

Solution for the question - the general solution of (tan 5x-tan 4x)/(1+tan 5x an 4x)=1 is pi pi+(pi)/(6),aa pi in z '/> phi '/> pi pi+-(pi)/(4),aa pi in z '/> pipi+(pi)/(4);aa pi in z '/>

The general solution of (tan 5x-tan 4x)/(1+tan 5x an 4x)=1 -Turito

PSAT

One-On-One Tutoring

Your gateway to the top global universities

Coding

Discover traits & skills, get a clear pathway to academic success.

Discovery Program

If <img src="data:image/png;base64,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" class="Wirisformula" alt="Sin space A equals Sin space B comma Cos space A equals Cos space B text  then  end text A equals" width="277" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Sin«/mi»«mo»§#160;«/mo»«mi»A«/mi»«mo»=«/mo»«mi»Sin«/mi»«mo»§#160;«/mo»«mi»B«/mi»«mo»,«/mo»«mi»Cos«/mi»«mo»§#160;«/mo»«mi»A«/mi»«mo»=«/mo»«mi»Cos«/mi»«mo»§#160;«/mo»«mi»B«/mi»«mtext»§#160;then§#160;«/mtext»«mi»A«/mi»«mo»=«/mo»«/math»'/>

Solution for the question - if sin a=sin b,cos a=cos b then a= 2pi pi+-8,aa pi in z '/> 2pi pi-8,aa pi in z '/> 2pi pi+8,grad pi in z '/>pi pi+8,v pi in z '/>

If sin a=sin b,cos a=cos b then a= -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="capital delta A B C comma" width="48" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»Δ«/mi»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="capital sigma a to the power of 3 end exponent blank c o s blank" width="63" height="16" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»Σ«/mi»«msup»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»3«/mn»«/mrow»«/msup»«mi» «/mi»«mi»c«/mi»«mi»o«/mi»«mi»s«/mi»«mi» «/mi»«/math»'/>(B-C) <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC" class="Wirisformula" alt="equals" width="17" height="9" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«/math»'/>

Solution for the question - in aabc, cos^(3)cos (b-c) = '/>   3abc '/>   2abc '/>  abc

In aabc, cos^(3)cos (b-c) = -Turito

If <img src="data:image/png;base64,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" class="Wirisformula" alt="cot space theta minus tan space theta equals 2" width="123" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»cot«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»§#8722;«/mo»«mi»tan«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mn»2«/mn»«/math»'/> then principal value of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=" class="Wirisformula" alt="theta" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#952;«/mi»«/math»'/>

Solution for the question - if cot theta-tan theta=2 then principal value of theta (3pi)/(4) '/> (pi )/(b) '/> (pi)/(2) '/> (pi)/(4) '/>

If cot theta-tan theta=2 then principal value of theta -Turito

If <math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>3</mn></msqrt><mi>cos</mi><mo>&#160;</mo><mi>&#952;</mi><mo>&#8722;</mo><mi>sin</mi><mo>&#160;</mo><mi>&#952;</mi><mo>=</mo><mn>1</mn></math> then <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>&#952;</mi><mo>=</mo></math>

Solution for the question - if sqrt3cos theta-sin theta=1 then theta= 0(pi)/(6) '/> (pi)/(2) '/> il '/>

If sqrt3cos theta-sin theta=1 then theta= -Turito

If <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIJJREFUeNpjYMAOKhmIBAZA/B+INYhRvBiI50IxXiALxDeg7GtQPk7QA8RZUDaI7sKlkAeI7wIxG5TPAsT3oeJYQ6AWTQzEL0dXyAI1VRBNHMS/BcRMyIIZ0ODChZORFV8BYiUcfpGHyoOBFxCvIRCky6HqGA4CsSkBxcZAfJiBFAAANkgap6lV0MgAAABedEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPkE8L21pPjwvbWF0aD7LQvrtAAAAAElFTkSuQmCC" class="Wirisformula" alt="straight A" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨normal¨»A«/mi»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJ5JREFUeNpjYMAEP4D4DxA/BOK7QLwJiCXRFakA8QU0sWYgno+uMACIl6KJBWERY6gH4nI0sYVA7IGucBXUVCYgNgDiuUBcgMUfDLeA+D8Uf8FmEgPUlC9QNhsQuwDxcSBWQ1doDsR70cSigbgLXWEk1E3IIBaIZ6MrnATEiWhic6EGoIB1SI4XBeJQaOCzoSt8h+RjUDQuB2JpBlIBAK5MH2X+n9d5AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5CPC9taT48L21hdGg+/ChvLAAAAABJRU5ErkJggg==" class="Wirisformula" alt="B" width="10" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»B«/mi»«/math»'/> are acute angles such that  <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGcAAAARCAYAAADAOrIlAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAhxJREFUeNpjYBgF1AL/ofgXEB8FYpXRIBl8gAmIs4D43GhQDF7wYzQIBiewB+KD1MyKrUD8ElpmHgZiHxzlKi1BAY2LG3r4URJa5yiRmMv+APFDIL4LxJug5oBBDxAXATELFAcB8X46R044NNBYaGQ+PfyoBsRbkAOWCABqOFxAE2sG4vkwzpcBLgYEgfgSEO8G4gAa2UFrP4IiZBsQ85GoD+TfpWhiQchioOxkTWRzERs/FJodf0DLWlkSHTgTiCOBOB6Ip9Ao8GjtR1DEaJDhrnogLkcTWwjEHjBOMjRlgRSxkehwkKO7gFgeKpZIYmVoCS0KQEAcGgDE9CfwYWyA1n4k1h3oYBU094DqRAMgnout7vWBWvgUiHNIcLgjlor3F5EOA5X9Z9BS4TkyUyAxYCD8SAjcQorML8g5BhsAFS8fgPg4EIsSmeXJrVRBWboETawV2omjJaCnHwm1IGF1ISg3u0DdpEZIUyUQb6ChwzVw9KLtoU1JahdrA+FHQsAciPeiiUVDi1CCjv9BQ4cfxhO4tGxS09OPxOTguWhisUA8m5jm7WMaOTwNiCfgkV8OxF50asI/HsDImQRtXCCDudBIQ0nFIEXSUL4stAWVRgOHS0L7NDx41CQTiDxyAD39SCxYh9QAEIW2Ci+gtyYtoQp/IA1tBJHQByDF4atwDJsgA2loK4aagJ5+JBa8QyrKf0BLDGmGUTD4AQArEsspYXyABQAAAKp0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+U2luPC9taT48bW8+JiN4QTA7PC9tbz48bWk+QTwvbWk+PG1vPj08L21vPjxtc3VwPjxtaT5TaW48L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPiYjeEEwOzwvbW8+PG1pPkI8L21pPjwvbWF0aD77s8sKAAAAAElFTkSuQmCC" class="Wirisformula" alt="Sin space A equals Sin squared space B" width="103" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Sin«/mi»«mo»§#160;«/mo»«mi»A«/mi»«mo»=«/mo»«msup»«mi»Sin«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mi»B«/mi»«/math»'/> and <img src="data:image/png;base64,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" class="Wirisformula" alt="2 Cos squared space A equals 3 Cos squared space B" width="141" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«msup»«mi»Cos«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mi»A«/mi»«mo»=«/mo»«mn»3«/mn»«msup»«mi»Cos«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mi»B«/mi»«/math»'/> then <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAANCAYAAABVRWWUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJBJREFUeNpjYMAPChjoDMKB+BcQs9DLQkEgvgTEu4E4gF6WzgTiSCCOB+Ip9LDQEoi3QNniQHyXgPr/RGC8ABR/Z4BYFknsHBBr0NKX9UBcgibWCsRZtLJQA+ordGAPxJtoFbyH8WiiSdZJA+IJeOSXA7EXNS2UhOZJHjxqkgk4imSwCoh9CKiRBuJbDEMZAABr7iyLEy33WQAAAFN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PG1vPj08L21vPjwvbWF0aD6je85bAAAAAElFTkSuQmCC" class="Wirisformula" alt="A equals" width="29" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mo»=«/mo»«/math»'/>

Solution for the question - if a and8 are acute angles such that  sin a=sin^(2)b and2cos^(2)a=3cos^(2)b then a= (pi)/(2) '/> (3i)/(3) '/> (pi)/(6) '/> (pi)/(4) '/>

If a and8 are acute angles such that  sin a=sin^(2)b -Turito

Three persons <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABwAAAAPCAYAAAD3T6+hAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAUZJREFUeNpjYMAEP4D4PxR/AeJVQOzIQDxwA+IdQPwNatZhfPpVgPgCEp8NiF2A+D4QaxFhWQcQbwBiUyBmgmI/IH4JxNbYNAQA8VIs4slAXELAsjwgnolDDuTD49gk6nEYDHJ5Dh7LZIH4CtRHuMAHaIihgFXQIEAGokB8C4iF8RjWSsBBILAbiA3QBUEGSyLxjYH4KBGJBuQ7eQJqHgIxF7IAKDj+QFPnO6hFzWgOwAaYoCkSH2CBBikKMAfi/QykA5BhnwioCQLiheiCkUA8n4E88I1AgjmKLf4mAXEamRaCXJ+IQ64SiLuwSawDYi8CBi+HxnEAmrgGED8G4nhoEIOAHhAvhqZgrACUUDjItBA5DfxAKh6zGKgAlhMREiAQDsTPgfgMtKQSJccyA2ieYyFSPQ8QlwPxNWihTjKQBmJxSoIHAFU6P61+kEP7AAAAXXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5QPC9taT48bW8+LDwvbW8+PG1pPlE8L21pPjwvbWF0aD6McaNXAAAAAElFTkSuQmCC" class="Wirisformula" alt="P comma Q" width="28" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»P«/mi»«mo»,«/mo»«mi»Q«/mi»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJ5JREFUeNpjYMAEP4D4PxA/BeKTQLwNiEWxqGNQAeILaGKtQNyFTXEAEC9FEwsH4vnYFNcDcQmaWCMQF2BTvAqI/ZD4fEB8A4jFsSm+BcSSQMwCxB5AfA6IQ7EpZALiP9CQgGFbBhzAHIj3I/EtcYUCCERi8fVuIJbHpngSEKehiYFMX4hN8Tog9sIivheItdAF3wExBxbFltAoJw0AAKDiG/NA/rdGAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5SPC9taT48L21hdGg+SC/J9gAAAABJRU5ErkJggg==" class="Wirisformula" alt="R" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»R«/mi»«/math»'/> of same mass travel with same speed <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAKCAYAAABi8KSDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAG1JREFUeNpjYECAeiAuZ8AEWMVXAXEAFsVYxW8BsTQWxRjiTED8DYtCrOLmQLwfi2Ks4pFAPB+L4nhs4hOAOA9NzBSInwNxMrbgWQh1oyiUPwWI1wGxF7piQSDeAcS/gPggEPtAxd8BMQcDOQAALoQVIlpjITsAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnU8L21pPjwvbWF0aD6GIoRbAAAAAElFTkSuQmCC" class="Wirisformula" alt="u" width="11" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»u«/mi»«/math»'/> such that each one faces the other always. After how much time will they meet each other? <img src="data:image/png;base64,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" alt="" />

Solution for the question - three persons p,q and r of same mass travel with same speed u such thateach one faces the other always. after how much time will the

Three persons p,q and r of same mass travel with same speed u s-Turito

Since <img src="data:image/png;base64,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" class="Wirisformula" alt="x equals 1.2 t to the power of 2 end exponent" width="66" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»x«/mi»«mo»=«/mo»«mn»1.2«/mn»«msup»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/math»'/> which is in form <img src="data:image/png;base64,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" class="Wirisformula" alt="x equals fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent" width="70" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mi»a«/mi»«msup»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/math»'/> Thus, the motion is uniformly accelerated

Figure given shows the distance–time graph of the motion of a car. It follows from the graph that the car is <img src="data:image/png;base64,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" alt="" />

Solution for the question - figure given shows the distancetime graph of the motion of a car. itfollows from the graph that the car is uniformly accelerated

Figure given shows the distancetime graph of the motion of a-Turito

Height reached <img src="data:image/png;base64,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" class="Wirisformula" alt="equals fraction numerator 1 over denominator 2 end fraction cross times 132 cross times 1200" width="139" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mo»×«/mo»«mn»132«/mn»«mo»×«/mo»«mn»1200«/mn»«/math»'/>m=66<img src="data:image/png;base64,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" class="Wirisformula" alt="cross times 1200" width="57" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»×«/mo»«mn»1200«/mn»«/math»'/>m

A rocket is fired upwards. Its engine explodes fully is 12s. The height reached by the rocket as calculated from its velocity-time graph is <img src="data:image/png;base64,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" alt="" />

Solution for the question - a rocket is fired upwards. its engine explodes fully is 12s. the heightreached by the rocket as calculated from its velocity-time gr

A rocket is fired upwards. its engine explodes fully is 12s. th-Turito

In the relation <img src="data:image/png;base64,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" class="Wirisformula" alt="straight P equals alpha over beta straight e to the power of fraction numerator alpha z over denominator k theta end fraction end exponent" width="77" height="44" style="vertical-align:-15px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨normal¨»P«/mi»«mo»=«/mo»«mfrac»«mi»§#945;«/mi»«mi»§#946;«/mi»«/mfrac»«msup»«mi mathvariant=¨normal¨»e«/mi»«mfrac»«mrow»«mi»§#945;«/mi»«mi»z«/mi»«/mrow»«mrow»«mi»k«/mi»«mi»§#952;«/mi»«/mrow»«/mfrac»«/msup»«/math»'/> P is pressure, Z is distance, k is Boltzmann constant and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=" class="Wirisformula" alt="theta" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#952;«/mi»«/math»'/> is the temperature. The dimensional formula of β b will be:

Solution for the question - in the relation p=(alpha )/(beta)e^((omega z)/(k theta)) p is pressure,z is distance, k is boltzmann constant and theta is the tempe

In the relation p=(alpha )/(beta)e^((omega z)/(k theta)) p -Turito

The number of values of k for which the system of equations  <img src="data:image/png;base64,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" class="Wirisformula" alt="left parenthesis k plus 1 right parenthesis x plus 8 y equals 4 k comma k x plus left parenthesis k plus 3 right parenthesis y equals 3 k" width="266" height="17" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»k«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«mi»x«/mi»«mo»+«/mo»«mn»8«/mn»«mi»y«/mi»«mo»=«/mo»«mn»4«/mn»«mi»k«/mi»«mo»,«/mo»«mi»k«/mi»«mi»x«/mi»«mo»+«/mo»«mo»(«/mo»«mi»k«/mi»«mo»+«/mo»«mn»3«/mn»«mo»)«/mo»«mi»y«/mi»«mo»=«/mo»«mn»3«/mn»«mi»k«/mi»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABcAAAANCAYAAABCZ/VdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAADBJREFUeNpjYKAcqAFxLRBfYKABWAzEaUD8n4GGYNRw0g3/TwQeDfMRYDipEU8dAADUJhpljLE7wQAAAFp0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjIxMjs8L21vPjxtbj4xPC9tbj48L21hdGg+ZBYDqQAAAABJRU5ErkJggg==" class="Wirisformula" alt="negative 1" width="23" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8722;«/mo»«mn»1«/mn»«/math»'/> has infinite number of solutions is

Solution for the question - the number of values of k for which the system of equations(k+1)x+8y=4k,kx+(k+3)y=3k  -1 has infinite number of solutions is 4

The number of values of k for which the system of equations (-Turito

The value of λ such that the system <img src="data:image/png;base64,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" class="Wirisformula" alt="x minus 2 y plus z equals negative 4 comma 2 x minus y plus 2 z equals 2 comma x plus y plus lambda z equals 4" width="339" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»§#8722;«/mo»«mn»2«/mn»«mi»y«/mi»«mo»+«/mo»«mi»z«/mi»«mo»=«/mo»«mo»§#8722;«/mo»«mn»4«/mn»«mo»,«/mo»«mn»2«/mn»«mi»x«/mi»«mo»§#8722;«/mo»«mi»y«/mi»«mo»+«/mo»«mn»2«/mn»«mi»z«/mi»«mo»=«/mo»«mn»2«/mn»«mo»,«/mo»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»+«/mo»«mi»§#955;«/mi»«mi»z«/mi»«mo»=«/mo»«mn»4«/mn»«/math»'/> has no solution is

Solution for the question - the value of such that the system x-2y+z=-4,2x-y+2z=2,x+y+lambda z=4 has no solution is 3-1

The value of such that the system x-2y+z=-4,2x-y+2z=2,x+y-Turito

Let <img src="data:image/png;base64,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" class="Wirisformula" alt="A equals open parentheses table row cell negative 5 end cell cell negative 8 end cell cell negative 7 end cell row 3 5 4 row 2 3 3 end table close parentheses comma B equals open parentheses table row cell x end cell row cell y end cell row cell z end cell end table close parentheses" width="201" height="68" style="vertical-align:-29px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»5«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»8«/mn»«/mtd»«mtd»«mo»-«/mo»«mn»7«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»5«/mn»«/mtd»«mtd»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«mtd»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/mrow»«/mfenced»«mo»,«/mo»«mi»B«/mi»«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mtable»«mtr»«mtd»«mrow»«maligngroup/»«malignmark/»«mi»x«/mi»«/mrow»«/mtd»«/mtr»«mtr»«mtd»«mrow»«maligngroup/»«malignmark/»«mi»y«/mi»«/mrow»«/mtd»«/mtr»«mtr»«mtd»«mrow»«maligngroup/»«malignmark/»«mi»z«/mi»«/mrow»«/mtd»«/mtr»«/mtable»«/mrow»«/mfenced»«/math»'/> If AB is a scalar <img src="data:image/png;base64,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" class="Wirisformula" alt="left parenthesis not equal to 0 right parenthesis" width="37" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»§#8800;«/mo»«mn»0«/mn»«mo»)«/mo»«/math»'/> multiple of B, then <img src="data:image/png;base64,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" class="Wirisformula" alt="x plus y equals" width="54" height="13" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«/math»'/>

Solution for the question - let a=([-5,-8,-7],[3,5,4],[2,3,3]),b=([x],[y],[z]) if ab is a scalar(!=0) multiple of b, then x+y= 2z0

Let a=([-5,-8,-7],[3,5,4],[2,3,3]),b=([x],[y],[z]) if ab is a s-Turito

An open tank is filled with Hg upto a height of 76cm. Find the pressure at the bottom of the tank and middle of the tank. (If atmospheric pressure is 1 atm) respectively are <img src="data:image/png;base64,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" alt="" />

Solution for the question - an open tank is filled with hg upto a height of 76cm. find the pressure atthe bottom of the tank and middle of the tank. (if atmosph

An open tank is filled with hg upto a height of 76cm. find the -Turito

Solution for the question - for one mole of a van der waals gas when b=0 and t = 300 k, the pv vs 1/vplot is shown below. the value of a (atmliter2 .mol2) is 3

For one mole of a van der waals gas when b=0 and t = 300 k, the-Turito

In the equation <img src="data:image/png;base64,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" class="Wirisformula" alt="integral fraction numerator d t over denominator square root of 2 a t minus t squared end root end fraction equals a to the power of x sin to the power of negative 1 end exponent space open square brackets t over a minus 1 close square brackets" width="236" height="49" style="vertical-align:-23px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«msqrt»«mn»2«/mn»«mi»a«/mi»«mi»t«/mi»«mo»§#8722;«/mo»«msup»«mi»t«/mi»«mn»2«/mn»«/msup»«/msqrt»«/mfrac»«mo»=«/mo»«msup»«mi»a«/mi»«mi»x«/mi»«/msup»«msup»«mi»sin«/mi»«mrow»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»§#160;«/mo»«mfenced open=¨[¨ close=¨]¨ separators=¨|¨»«mrow»«mfrac»«mi»t«/mi»«mi»a«/mi»«/mfrac»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/mfenced»«/math»'/> The value of x is :

Solution for the question - in the equation int(dt)/(sqrt(2at-t^(2)))=a^(x)sin^(-1)[(t)/(a)-1] thevalue of x is : 20-1 '/>1