Question
The area bounded by y=3x and
is
- 10
- 5
- 4.5
- 9
Hint:
Integration, as we all know, is the process of determining an area by first dividing it into a number of basic strips and then adding up each one. At this point, we can calculate the area enclosed by a curve and a line connecting a given set of points. Here we have given the curve y=3x and
. We have to find the area bounded by the given curve.
The correct answer is: 4.5
We are aware that in a planar lamina, the region inhabited by two-dimensional forms is expressed as an area. Calculus requires that you know the difference between two definite integrals of a function in order to calculate the area between two curves. The definite integral of one function, such as f(x), minus the definite integral of other functions, such as g(x), with the lower and upper bounds as a and b, respectively, is used to define the area between the two curves or functions.
Here we have given the curve as y=3x and
.
![W e space c a n space s a y space t h a t colon
3 x space equals space x squared
x space equals space 3 space o r space 0
S o space n o w space t h a t space t h e space v a l u e space o f space x space i s space 0 space a n d space 3 space s o space t h e space l i m i t s space w i l l space b e space 0 space t o space 3. space
A r e a space equals integral subscript 0 superscript 3 left parenthesis 3 x space minus space x squared right parenthesis d x
I n t e g r a t i n g space i t space m a n u a l l y comma space w e space g e t colon
A r e a space equals open square brackets fraction numerator 3 x squared over denominator 2 end fraction minus x cubed over 3 close square brackets subscript 0 superscript 3
A r e a space equals space open square brackets 3 cubed over 2 minus space 3 cubed over 3 minus 0 cubed over 2 plus space 0 cubed over 3 close square brackets
A r e a space equals space open square brackets 27 over 2 minus space 27 over 3 space close square brackets
A r e a space equals space open square brackets 27 over 2 minus space 9 space close square brackets
A r e a space equals space fraction numerator 27 minus 18 over denominator 2 end fraction
A r e a space equals space 9 over 2 equals 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So now here we can say that using the integration method, the area of the region bounded by the given curves is 4.5. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
Related Questions to study
The area bounded by
X- axis, x=1 and x=2 is
So now here we can say that using the integration method, the area of the region bounded by the given curve and the lines is 13/3. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
The area bounded by
X- axis, x=1 and x=2 is
So now here we can say that using the integration method, the area of the region bounded by the given curve and the lines is 13/3. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
If
then
=
If
then
=
The
graph shown in the figure represents
![](data:image/png;base64,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)
The
graph shown in the figure represents
![](data:image/png;base64,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)
For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds
![](data:image/png;base64,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)
For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds
![](data:image/png;base64,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)
A particle starts from rest at
and undergoes an acceleration
in
with time
in second which is as shownWhich one of the following plot represents velocity
in
time
in second?
![](data:image/png;base64,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)
A particle starts from rest at
and undergoes an acceleration
in
with time
in second which is as shownWhich one of the following plot represents velocity
in
time
in second?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWoAAADtCAMAAAChxM8FAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAL3UExURf////39/fz8/Ly8vLOzs3d3d2VlZXFxcV1dXXNzc2BgYHR0dLm5uWRkZDIyMisrKzw8PIWFhevr666uriUlJU5OTo6Ojo+Pj1NTUxMTE3l5ee/v71ZWVi8vL8fHx/7+/unp6TExMR4eHtLS0tbW1t3d3ScnJ3V1ddPT062trZGRkWlpaSEhISgoKMzMzNXV1U1NTTAwMEhISG1tbTo6Oi0tLcrKyufn50lJSSAgIMTExOrq6iIiIsvLy9TU1BgYGHBwcPT09Dc3NxoaGs3NzeLi4jQ0NFRUVAcHBykpKc7Ozvv7+5ycnEZGRn19fWpqag0NDaSkpPr6+s/Pz6ysrKenp8DAwPHx8ezs7Li4uN/f36+vr9jY2NfX12JiYo2NjfPz83Z2dlFRUVxcXGdnZ0xMTIuLi1JSUk9PT/f394iIiFlZWVpaWltbW8LCwoqKiu7u7qqqqn5+fru7u6WlpXx8fIeHh4GBgaioqFhYWMPDw0pKSpWVlUtLS3t7e+Xl5XJycmFhYWZmZl9fX25ubomJiePj4/X19dvb24SEhNnZ2ZeXl5SUlNzc3KmpqaOjo7Kysh8fHyoqKt7e3snJyTU1Nb+/v5KSkg8PD3h4eBUVFbS0tC4uLuTk5DMzM0VFRUJCQrCwsLGxsbW1tba2tre3t/Ly8tDQ0EdHRxsbG4aGhjY2Njg4ODk5OTs7Oz09PT4+Pj8/P0BAQEFBQUNDQw4ODmNjY/n5+fj4+Pb29tHR0QMDA+Hh4cbGxgsLCwAAAObm5lVVVRISEiYmJp2dnaCgoIyMjHp6elBQUIODg76+vn9/fx0dHZOTk8jIyGhoaGtra2xsbFdXVwwMDG9vbyQkJBQUFNra2p+fn4CAgJubm+3t7ZqamiwsLODg4Kampujo6PDw8CMjI8XFxaKioqGhob29vZaWlkRERAoKCpmZmQYGBgUFBRkZGZiYmKurq4KCghYWFhwcHBAQEBcXF5CQkBEREZ6enl5eXgICAsHBwbq6ugAAAE8zaoAAAAD9dFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wD2TzQDAAAACXBIWXMAABcRAAAXEQHKJvM/AAAIuUlEQVR4Xu2dQZajIBRFM2EpTF0BK2IEhx24ELficTccFsC4QU1EjQYt/BW73k0qMek+3VU/t54fRX0AAIwZF8DVsG5cAFeDUpPB6nEBXA2sJqOG1VTAajKQ1WTAajJQ6pKYuhENU+OrBQiQgmhhnez8Rq3RgRSkE9XjoZr4+AYESEE4j49sq9SwuiRcy1rA6uuprG8sQ4Bcj7JCVlz1if0GBEg5Ks/Co2p8H9kr0IGUQ4nGcNO1CJDrcUIIK2uvx9dzECAl4Vobpcz7AIHVZKDUZCBAyEAHQgYChAyUmgxkNRnI6qLo9wPFHgRISapajktvQICURHbdttawuiBVba3b2ImLUhclSL2jNQKkHFWstJVbWsPqcvRSb2sNq4thQpkd29YafXUpVJRas22tESClMLUdS72hNQKkECoWuS+17d4fygWrC6FDiW3Iahue2Ns9Xih1ITQL1HUXn+T7UiNAyqB4IMSH4bzayGpYXRDXdZvjclhdFNnV7ycmRGB1SYLVKDUN+1YjQAoCq8kIY3NYTYOzWC0SsR8gsLogsJoMdCBkoAMhI+1AKu3MbJQOq0uSZLVpvBCzOIHVJZkCxPimUq5NRYbVJZmsZj7uipkdwohSl2TqQFw8fQJvbJLWrDF6SXwnfPX3jdt0f6E3toj/JWYdSKXt7LA66UWTjR0fpud+KRIWxfvD9f4Ss20gtWjt9OqHARI0Hk1W4WZ3Jrz+EWajRVXpsG4cXwQKZjVKvRrCyDapScFmz7px4e/ysloNZ2GpRD2twGB1SV4diGqaWGPdxnMpjJS0GqWeAoS1Mqy/ur67HoHVJZk6EG6FdNanmQqrS5J0IIoJYWeT9wpa3aHUVBtRYfW8r16CrC4J1ewm9NUfAgRWF2R/HgiyuiBUWY0OBB0IHRIdCBWu3jwWF1YXZrvQyGpCYDUZsJoMWE0GOhAyClqNANkHVpOBrCYDHQgZsJoMWE0GrCYDVpMBq8mA1WTAajJgNRmwmgxYTUbBUsPqfQoGCKzeB1aTIWE1FVgtkoFmjwxYTQY6EDLQgZCBACEDVpOBrCYDAULG2dEiZ6sLzWSW2iQnEziGvPdpdM5aXbWri59kZjXz48JRlDj9IX0FZ7O68metls24cBTV3LzUZ60+X2oxLhzl7qU+ndXpSUUGLrfawuqRzKz+u1afLDVPT0E5sHe14wR31upHk/cf/Camrrtwm+7914AQ48JBunb6N0ZEw8alXRof/trsbw6vn/fkIT5Pt/gfhOfxXpCVNOepwre5RdOMCwcJpV78q2wqdXxefE33xvfvhYfnbQPmZ98bq33eZ3mYgqXe43yArA6m7vLOB5IfIN1iyHKDANnj7GrxBx1I9mpx8dmhr35RvNlblfreVp/tqytxvdXLMxTB6ifXW33zUp8eLZ4u9XdltSHqP77b6kWAXJLVpiHbMnu61OuNqLmlzt6IurL65Pe6h222zwBUmNPN3voC0pml1tluLktdfteAcp6u1CXn7JWO0rLnSORvTvaj2zY9b/q1nLX6DZlW57Ow+mcoxubXeYoY6+dn472Sb95jviq1WRcrG153Vq6upyLX2xcu45utXgZIJdZbbrMJpQ4si23Ta+RczDfPr16uFm37g3WYYl1nQ7Fdmtmko6LjVvM03CrnzPPHzym10k5nl2tR6lp4O1mtKn7oZupY6FDu2k3fgKG8bNBhq3mTqCUbIUQ3/vwZHQivRahX7o83DxAtXJckq+m6EAn5965jjMmwECrunmK75LO7nKNWV007xZvzHefaj298tlp1rVOV9Zlez6yuBFPpeMPYWLT8e1c7rZ2MXnevMUEtHF2tD3Yg0oskMJveMtkOmn4udeXjB2tyW9m01CquwGyyWgxRdIhY5AGmX67U7eyKiNdyzGrlhXlKHBh23Or8Uvf7loZLEWaQBIhi8Vfd9te1OUdcLS4KHVOIrq0+mtWSP8SyDejGzSFZHYjSrFc7h8RqI6zRuhHy9O87ZzFx0nUiNcc7EL9Qyz1Ll1XqyvvZdWn2SErt4vrXt20I7PGdo/DQgdSEybzmeF8t5qWeLnSXtw2EV2HdOC5/IA0QHrEi/e0/Bmf1+V+JIvzQauWmtWSW1QHuM7dYL/rqsGpcZtcRNF0qv+eM1dPPq2QyqvhcajUMi+vM/TDLgblqfjAw/30OW60Sq1Wd9kqfSz20hSEHhpefWI51QhPxeyu1n3N8y16S1TIMYVRgePW51FX8mJTO7WWXVt+cE1aLZ6m5b22c/zeOzDOyOnw2jvnu9Vntkz2CvwfHs9q+KmVsI2ITNk4JyVktaiuanYtMzPnrVm+TU+pD/GelPm71JuX3Lf5fAfLNVtNN0SChpNUIkF2+Oqth9Qaweh90IGTAajKQ1WTAajKQ1WR8tdUYLW5QvNQYLW6BANkHHQgZBa2uv/uogV8HHQgZyGoykNVkwOqrWO1BLWh15gmF8rlxqTkTYpzkqp4KlrQa+xafcCuYtsM80NeZGL/Z6vuOFp0PtVCNjZOxXues+2qrbxsgdT+vcZjN+TqK7Kuz+r4BEmqsZNtPBofVV1MLP0zmvIfVdy61kZ3vp8xdYjVKPYMPBwldYbUUcbZkf3s+fMKO99ct3vuvyA1nU5vw4zTP43WGowavsFpV2hg9v71hePPtH/W44cvpXzwY6zSuDdiK9dU2fWN9hdUg6maM4Q/bxinnsj++6gqrwQsdzOZymLMPq69Fxyn+9dDswepr4VqPZ3mB1WTAajJgNRmvjaiw+nKeZ12F1WTAajJgNRlnL+sADgOryUBWkwGryYDVZMBqMtCBkAGryUBWkwGryYDVZMBqMtCBkAGryUBWkwGryYDVZGC1SAasJgNZTQasJgNWk4HVIhmwmgxkNRmwmgxYTQZWi2TAajKQ1WQgQMiA1WQgq8lAgJABq8lAVpMBq8lAVpMBq8lAVpMBq8lAVpMBq8lAVpOBACFD3fC8gQAAcGsej38sM/kdwQ0X/wAAAABJRU5ErkJggg==)
A body is at rest at
. At
, it starts moving in the positive
-direction with a constant acceleration. At the same instant another body passes through
moving in the positive
-direction with a constant speed. The position of the first body is given by
after time ‘
’ and that of the second body by
after the same time interval. Which of the following graphs correctly describes
as a function of time ‘
’
A body is at rest at
. At
, it starts moving in the positive
-direction with a constant acceleration. At the same instant another body passes through
moving in the positive
-direction with a constant speed. The position of the first body is given by
after time ‘
’ and that of the second body by
after the same time interval. Which of the following graphs correctly describes
as a function of time ‘
’
General solution of is
General solution of is
In the following graph, distance travelled by the body in metres is
![](data:image/png;base64,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)
In the following graph, distance travelled by the body in metres is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAikAAADgCAMAAADxNQZ5AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///yEhIdbe1r3Fxffv7wAAAObm5jo6Oubv79bO1nNzc1paWjExMa21tZSclEJCSkJjGRlrUhlCUikhKRAZGQgQCM5aGRla7xlapYzeMRneMYwxjHMxGc4ZGRkZ7xkZpYycMRmcMYzvYxnvYxmtY8XOY1Le5lLOY1Kc5sWMY1KMY5Te5ozOYxnOYxmMY2NrY0paShAQUoRjlBBrGcWUnBBCGZzvpZyc787OzpzOpZSMlDoQEO/mve+9vYRjWoSEe5ylpe8Qte9aOu8ZOu+cOhDvpRCtpe9aEO8ZEO+cEO9aY+8ZY++cYxDOpRCMpb21vXt7c0IQOoyMjO8Q5sVr78Up7+/eOoxr74wp74ytc+9Cte+UtcVrxcUpxYxrxYwpxa1rUlJrzq1jnFJrhBDv5sXvEFLvEMUQnIQQUhCt5q0pUlIpzlIphMWtEFKtEIRjEK1rGRlrzhlrhIzvEBnvEIwQnIQQGa0pGRkpzhkphIytEBmtEO/eEO9rte/eY8VK78UI74xK74wI74ytUsVKxcUIxYxKxYwIxa1KUlJKzq1je1JKhBDO5sXOEFLOEMUQe2MQUhCM5q0IUlIIzlIIhMWMEFKMEGNjEK1KGRlKzhlKhIzOEBnOEIwQe2MQGa0IGRkIzhkIhIyMEBmMEO9ahDHvpTGtpXPvpXOtpe8ZhO+chFLvpVKtpTHOpTGMpXPOpXOMpVLOpVKMpc6t5u+U5kIQWs7mte9C5pytzu9r5s6M5s7mlJyMzggACK2tpc5rUsXvc3Pv5lJr71Lvc+/ehM5jnFJrpTHv5sXvMVLvMcUxnIQxUjGt5s4pUlIp71IppcWtMVKtMXOt5sWtc1Ktc7Xv5oRjMe/F785KUsXvUnPO5lJK71LvUs5je1JKpTHO5sXOMVLOMcUxe2MxUjGM5s4IUlII71IIpcWMMVKMMXOM5sWtUlKtUrXO5mNjMYyMWs61nEI6EM6UxRAQMUJjY87Fpe//Otbv7+//vYRac9bv1iEIECEhCNbFxe///wAAAFl2F3MAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAXL0lEQVR4Xu2dW3KjMLOALQWEkBT0gLIO8qjirzLegarYwlmn2cz/fl6nztikjiRwYju+gC1lkri/mSTGk8Fcmr6p1VoAwL+AJuMLALhEXxXjKwC4AGbrzIyvAeA8hUoVx+MG8NDgVTFKgm5bPbx6x8g0TVFBx03gkclF2nhJwDKVR4YGc2UlJRXduA08NMsXLyCaq9cjM0NrJKTKJOL5+A7wwLwZiVorKNXmkz/SSW66ssFN1oCrAtjwxvqsPVfVsTRgtsQLg9hiUVcQ/wDWbUUZ42V1bGGIeSLuH62kLHJz7OsCD4j1UFRaWak4hFLn6HZeUhYQ/QBWCrpyzc/pjEGnAICFrpA4a1yeQVKAHaRF2dkwGHQK8E7PEfvkpewAnQK806ltfdZjBZ0CvGM469/G158YYx8AuALoFGAa4KcA0wCdAkwDdAowDZAUYBoQ+wDTAD8FmAZYH2AaoFOAaYBOAaYBkgIMUJyPo4ME59pzUE8LsQ/goHmjNkPJAamFUmiDUNnsF6uAnwJYeo7WqWLDxLAGlR3GOMcHFQhgfQCrL7iqClmOOqUt5YlZPaBTAKtG+meSV+WgU0iDTkvKNhMjsjtb8AT8ejQXy0GnNJt1JqWszIE4PJVZW7cDhYauO4+LlmjQKVQXDWPLV4TafY+2c1NRAcDplINy67carYfeBwPgpzwiuPtcL6tfR52yI69SvmdkIPZ5RLqS9+PLd/TxFA7M1hx0ymPzLNeoPZAKi+blYGzomEdZlajd0ymQo308KEvTtDxor0QINhJxTUiyMJIRTHAh1XJ/6inolIeD1MJKykv1IQbUVAhtVKo2SOoFbkpkWXN94MuAn/JwmEyhVCm155XQXD9p3dtvvbU8CX7qn/rD8UHQKY+HrsplU1ZFls1LtIJOeTCSVhZ/nkq2yDmf1YkLJOWxoLpYJYve3fW86E4M75wFJOWxIN79eCort4Hn9AwFP+URueWug055RJ6Q1ymzAEl5RG7SKdYLBh4NM/gpswCd8oiATgGmMcY+swCd8ojcpFP+04yvgMehvyH2MQp0yuMB+RRgGrfkU26RLuCnAzoFmIaGHC0wCdApwDQM6BRgEjfpFMjRPiDgpwDTAJ0CTAP8FGAaN+mULUjK43GLn2LA+jwgkE8BpnGLn3KLdAE/HfBTgGmAnwJMA/wUYBrgpwDTAD8FmIZRfHz1Qcdlseuo0vFMCFkfTHAHP+UR+dsdNQTEBVdpuutHWwnetI184fvdu8BPARaLnKmSl2PvSMKVdE0QtFzzPa0CfgqwSHSzfMJj5+KkQ+XQgqdDYk+pdCjefB/6XETlsK87cB+aD2tx0HrzOgiIFmjPVTFIdkVXrOyfonPt4MJBa5RGpSxAVMLhOhe764mZGtsaG6H2utYapFBZCv9HrkKusIDbbZqqcZmPGKi0DHrAD85OpxArKYMmwVK1+zolkp9CWqdR5id4JpNwq1Va0Crzwb2xAvBGD69dP/bNtzplXN7HiM2eTokV+9BWpRlHn8P2YDhJsQbo41SAaWCW2fCXrJa82m8eudMpi2Ij3/2UPfseSVKI9VFQpzM5bkeA8k0l0g34KnMxpXi2TmRZvpb7a389jX6KNTPCv00LlO2lXeJIivNRNsUiFxF1CpWvutharQK+yjyMsNbFCFHnhZQfWgVz1PhLSaq1cG+vENo37lEkxZkeZJ2hRO8n+UJjd/5WW7e2+PC6gAlgJjhDykoB4ejZvfOmG8nFOkWZXOaLxP6CkK+Z1Tj7pj3GWhy02aSo/hKrgBtr5cAATQOPjxRuhSqXdqN/HVfkyFesYqxh9su3qH1ulmy5OnwCI8Q+3kf5qrtHmfswMEAToI1shqXCqCnMH6dc5F4UfI3w1oe4x7z2L6mJaH0S7W0ssZauhEVZp1ALJJgLkEdwvZpx3YLrFNyi1NlA/1pW8W4h5UOCiLZfZut+OmQlEapWc3qgfxBap3hndpfk0GXE2IdIMXwMZioVkFeZRGIY2sj2lmGbwJJy+IBjIeN5EFRmoyLF7kPBrZ2ILoRCy+fZT1bYecne9Hz4l7qs4kkKkdnubIl1a2EMaDLUVKWSB8tmTyCoTnHeJao/pJUsI7YwTZoh+exwNg9GlqdDnmygLNjnRZMv0AXUKbQ5FJTF25+YN4/ufZLzVUBU5pAXHKGPytnrBIx9vjSPcgxx2T7Iq8yBdEygrJlaDxbO+mBvev7ZvSJWoUFeZSK7goO+lirbH1C+QDBJcQm37VG5CKkjupnJ6lB1elEBA3Qd2hecV21h3EJzpG4mZkdDSYq7T5/yX72KWHVAyvLQyBK2gZHlCeBKbUq0QUJI/mnN/vMEkhRqw+PPDzQuX+M948l7PmWHt3+gVa5hVNlhbApWZeV+8f0VwuRThiHdceMDXfJ4jzjJ3vMpO9xhgK9yjV68z/iiePrFCqJT3B1S++HxCJYRJSXh8tMnvoGvch1ScHakjacQIp9CmrXVKCcsHulijiUb81kMc7ZOxWq68X1IaCvlnFHkgQD5FOej/MPw+BDMUPofcGsvQVdZulYlb1amp9Ov1P3WJ3eC8tlH+VcQN7LczUlTPxomU5IxKZDaorEKfwp3S8oQHp/W90l+WynENDA++UC4MQWY3HEBs8msLiG6WzVshsNyr6S4R/hsHRHm9ztBZ6FVdVoc/BjQfDv8MGj+6uusHTPM9J2SgutTeZQdPZLxbhjNyjMPhE/BQRHCOWgn9+f5TOW+fMqQ6xo3PhN1vg+Rn6PkEV8FB3mVM7h5wJuqMD2Z5c3dpVN8wq09//DqmDolOatTBucJDNAZNM+sN4uE5Mv6YEbPZe7Jp2CfR7lwPzAfZqVFgS6HyZEnwUuVZt8lcv9+YNO1TJZKjT11pnBHPsX1R7kSZBxNpw/LxZ07A4RAq5yEjJeFYvM8/Qrdbn286VmNG98PbN1aMcyQAw4wWdnMsDo7bpYUfKrM4DtBrW2EyR0nwG2GlGBze5/dKilurOdqfosUER9quroSCGM/BgQG6BMJNjUvt9lhv9lr3Cgpfkrp1eGVPOPxblTCx9ZBZ3EGCPIqp8GmkWJOwfWN+RRneibcg7hzCD/XpxxDrVubdSAqp9HsRR30Jr7MTTrFzcSa4qNgETNHK7Oro0rEGiDIqxxhQ55u1bKKy3WqpkfJt+RTvDM7ZfT4X+sUe6hLZX0V0Cr79ByVaKNKIXk1w1W5IZ/ifJRyUrVQ7Nr8CcrCjWCCVjlAc8nawpwZij/LfOsz+CjjxvfHubUZ5FWmQ7F+Mg59WOY0W1JcUZn6SXly59aCVpmOkeoFIbRF/DDjMldS3FjP9Os+o/huPlN3jpdpmoGvMhXzumGEkD/kaLRkrqRY0yMmaxTMm3jPcsL4xGzAkFcBrTKNTpYno5V5+ZTchcfTi1Tjzvf56J9yDTdcCL7KRMwraseXB8zSKXPHenAZMUf70ZPpOpStrQGaKliPTSfTjcwy2R4tK2bQVmZSZMJ+XauZG5qUjBtT0Ohr5xCep6/soUO2dgrUFG3TsEwdiUOPRNuwtmlZ01xpFDc9j7IDcxbv5rwtp/opDlw5X2XcAK6j5cteq3RLd9ooncBHPfOKUxPXdyEWM6eIDL5KPGP46+hKdeDaTfZTXB5lbEj8fZijsdwYUAYR0GRW5fZAp0yVFC8oP/s6Y+urQF7lGsnYXb/n6tD6TBz3Ia1LuM0NHqg58p9D8qbnVm256e3QNOMKmGUdznFXoUNBmbgWh9Mo47INc9AiYpRMsrPzfc7RQ17lOoYjpNDmU6pykk7JfYXb/Juu49aniNn+8pBXAa1yEZJbnbJb4eWDKX6KK0i9qYHav69POaZnKURAtzFBpwxNGceNWfQxdcrnPm9TyJdqDXmVW7jup+ROUG5rSELbiE4BXd1U+4Ara4DAV5nPVZ3iC5du0iiWJKaeT24LeJ0tBQM0n2t+yuyxnu+Py6vAGNBsruiUoWnAfM9xIIk2L9nd5/0VFmbhyrBviPkfnMs6xU/Du/2a4iaiNqL1zWVSucurzM3bPToXJeXesZ68jNo/5ZbYZ8C5tQIM0CwuxT53Z7+1+B41b59xonJLC6sH5oKf4nyU7K6G0X3MdQjJDTnaD3Lvq4BWOc/xtTlvfZwxv9PvszplfBWBu3SKPT2nVabPtQTO6hTcuDVQxo1b0RHHkhe4v0slEEjsz+KcTvFRz+/KoxyjqzQVEAFN5Yyk+J7id/koP4C8cs1Ixw3gCqd7HbixHjGjW9wZqIm5Foe+ZSXxAwZfBdzaSZz0U3wKP8CAK35dxlNLtJpTm3+aIbMIBugUU2IfF/WgEAWnunwdX0WAZOJuSXHVoqkEAzSFE5JC2Hp9+1jPPnnc+pR78ik7esjWTuSzpDjTE8jP+875lB3aVew/jRvAeT75KUNjgHHjTkh1tIBySJKGhZCUBfFNM8BXucbxuI9fyC+Yjxf1+odqzpJXKfgq1znSKa6B0a/PoxyjuVpDvcoxl2MfNyHmAXNRMAY0gQOdMuRRwmkU3ERcZZTW4Zwg3+DLBHF7fi3P2w9JwRUK27y1L+X4KgIkCxElj+TcjQFBsHwB85HN9xPAgs7wjp1PCacE3twYEEzuuMRH7OP6owRuMq/Rd5tDeB43sgxjQBd491NunKR+ESz/6Voc88irFyjD3uP4odnFPn6sJ/TS5bSLGFDQ5+ewGkBbXwXyKmcZdQp2BWCPnqjUbgwIDNAZBp3iC5dgXrcTlTGvEllefqA4eknxeZQIA6oJiZmiICT4EWOf2Heq1ayCOkFH0OefVxTToWZBly+pCO2jOHK+jLDXEVJFcJe9r+IM0DKLWK63yGXEiVB3g1uZSVkd+ZimbOItVhF1DXYqz6/BfjuauwhosahQzOz+DZ3Hvgy8klnFGr45agr+jHiD7LWJIuJx61PiXG2fV9GLqoypU+ZOmUtIH9MYHtCVWz/BmCl0EAhqlLrR43ErMFF1SpLF0CmuCi5NueEisk6Zd2H+9EUd1XN6h/B1659AzNVBi4AOpcETbu/gqhlfRYAyFkcMva+CREydgrPZ03ANz/jqCxKDRo5raCTNen/lU9yqdcTx9rgnFsspdKFgGnD48TOJvKEUfVWuEet0XAeHdmJcjPSNHbQuzpdrVZmn/sn09k9ItPtrv9m9PoX/7o/XH/Lwzv1//a6e3DHrvhVpijr7ZhTsYXci8584EW16e4t661BaA9DGrY4wAo2JtfpgiYU3nG2Q61Rr/9pvAdmOP4e9hv9uv/whD+/cz/uuxr2G2u8J7M7Hiz4d/8trKympirr8mdMpQz0BZS+vB9aGUkowIYTar3BQu0u3V8ff92/Bvvsff90h22/Y/nSf5d+7+YvuduWwFyXs9fjgL8Vu7373/gyu8ne8krjI1umGFzqW1fXo1827n1LFbEAAxIIWGZLFU9RFQC2Uq2HOQ89VG/mzgBgYxpvuK+LkFVIuYrVBMpQW/0Sw6fq4Uc8OsrK6i/OsXMbMEwCxIPEzKe/0dcU5izEQCAAAAADfAtp/LGtKtTEm7FgodZnLXu9sN3GfEHId1cTt0Lzvn7p0auDRXHuFdvsnbvf677DxWFDdqrQaF6nFtXA5xoCtjxJa2D1uFWqxC/gTzVxKeMODlU5QI5T7gKVPciW4zbZhz8BKRyvStU+bU10hZY9fxs2ofUs0Ry/puvLPIO0ye0MpKWyUHupC04YXbpdCucFOKzb2Hv6h7CXUmHhS8FYTaiolXfl/J1FL/pBio4bh+BDQRqGNcpJCaiSeKaVs/XgTwnW14R0vB51CpFo6kaH2ggRL5Izlue0aFcnClMhPUCZLFWoCEB0qdDukaurOwAs9LTbBzoDWkjdSuYohI9xJWNVbKR7Wvn1/rAWmmKFBp3RIDA2PdBZ8ueVabQorLzsBebayGPQTDEIFXXTlKCD2DAL1C6GrrcRGbu3RW+UyHv4q4KP0gyBVyZ1OcaZhOH8s1f+FfWYIU5lJKFN8GMgy5XYY2wpEL1N7E5P9M2BhzsAVHSz6TFlJwWwzqhKrG4uvycJ+K/Kq9DqFtBs5JIWJfAl0nXdY18eaHbxUY42+FirUpcaN5K8qdX6JO4PhuKl8aUYv/S4SLZ1HZTKnEfNKVcPhOzMUVCX+DKxO8X4KrdU4HYL8r2IhrvOOxJSp84CcfR/kQ4tNKJeT1JWFs0LbOMtqruFN/uJdrnvRr35Oq5bK/iB8d/h9ieqTh2+aYryEBavDPmzfgLxCo6Rsx8aMeaaagKeJW4TaP/YFYWtv55yfEvih7EpnfuqtHM6gt9YngCTiJt00bcsqtOa1MWwzphM6dKYHcK3WrftpzzTIAXwvyLIczK+1vkOaI7f+4MkLcRO4QmLcXbGzb8Y6FOE+wZK0a2UWTyUapsoH8mhJUUkpRIZUimSri60c3Czr+58+fOeP2TPErMx+4YRg8j9oEH/MhxjTBkNZMONDDR8F0WKEc1fsjbSfFOiJ60dtX62tM0vHON+dQcgaMOOtj3dkx8NfOh15AmPNKrX+2ChSvwiM845vZJfn9hKshGJa5/YyB3sgkpVYyw7nOM9x4sIrVPfYcHVY9nkHDLU617pFpXN8OncG2J9ByIF4k61dEfwfa0Zr3NvD5+f6J/szPKyU/wKCqufT9KxUSLmiYt8Oq69csbAIEjYMELnxJcsWafeadNy+2spwMaZmfgACLcdUkDuDTdaGfaTN6zBHbzh8denw3WQ1NHpjvwlK7ePucE+8w77KAzqz9hP8zu1O+6HAx31g2E/AuLd73KmQN/dx71uhILvqJOqO/pKYU5am7pkAgIu4xmqpvH+5JeCXo3nKO+vG/Dp/FggKNWJt47wObR8xgwtMp8t88E/dINf41tfwBbEPEA7clqjxzq4Raah0EfALyRlfDUaHrnjI0ZCfRII/CmGvkh9WydKva1EEfD00173WLvlpf2JXDzi5lxrlm/HRGjBcHmwHIAF/8dvQv7p2EOrFfiHEe9qiqflpUovDGJHWaHZTo8tYMdZfOU8PuMAbyTE21VpqjF1KMqFT70wvj9cxI/JQyQRAM972X+Tw/4S44l8fo432qrnHQNtPaSfKjrTM/SS4FeXr7ysV+qkQtqvxWnRVpa3LwZqukELIbkEbIXYCYG+bZVjwQPP1sAwEWblfdCOwi87XFgbGSLXJ+Nf0aASukL+XvZIGlWaRFKUqWd1Wa8EzXrdD1w7SSdnWtZWWNrdS4avYF0nP7W82vOqsqPWvL75r6ieoYfI2XuVr6dpjbSTrwWP5Ci4aF/yuU95q4YreO+FNS8LS1M3z6qu1laRODNOkXJWS0x9+9QdiXWB7B4lxczVwda7wp1+xW1lyZSXFVaKN+wL+HU5SBlGyAY14sjrFy4ur1sncg0wbp3NYmrHG/mEotXanQT6R/cf+B7aLlpwVC24lnqRCnMFqUN8CwjajTqGDjIzqgxQb4TwUbCUFJ80aCWsPMsm5/UcrKV7D4Fqut8x4AXGF1oGffN1K66R8iZhM8+n/bfTxbz/dpad3fgqtS1e2b+Xl2W6RWvlewVZX/JcuDk1LLTL3K45CKD9H01mfsHXqiS6qFnzZ78OHnzLanVXmJ567ecuuqot461OrcZ1R6rJhzxJZb4X4CjrDN8z9zKUa4qFQYD1W6AHfA2ytxiApbpK/j30G69Mqv2DC8O+aW1HBhOjWrTLTS9fNsJUrgmmLuNcvndz8wikND8bFR5MwNA6e0yJzjupKeklxE5i9Tmn9PN1kJZGrQ16695yXm9u3MoS2gnnvhLYCemD+cki+cy8oJm/u+1DKTMaa4/efrlW8HrwVU7oUXNLr/slNDLEQuT09NfPHAKYuBrgRRyFxh6KulfE9+LfC9DNFGcvN4OGOGB5r8Srgh2OKfn+6De7iLl0CfAVggIHggFABwDWuPyXwHAE/AhDUR2Gx+H9j+0Fg3VWuBQAAAABJRU5ErkJggg==)
Velocity-time
graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is
![](data:image/png;base64,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)
Velocity-time
graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is
![](data:image/png;base64,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The value of k such that
lies in the plane 2x-4y+z+7=0 is
So here we used the concept of three dimensional geometry to understand and solve the question. Any point's position or coordinates in 3D space are determined by how far they have travelled along the x, y, and z axes, respectively. So here the value of k is 7.
The value of k such that
lies in the plane 2x-4y+z+7=0 is
So here we used the concept of three dimensional geometry to understand and solve the question. Any point's position or coordinates in 3D space are determined by how far they have travelled along the x, y, and z axes, respectively. So here the value of k is 7.