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Recent questions tagged p111

Find the vector and cartesian equations of the plane through the points $(1 , 2 , 3 )$and $(2 , 3 , 1 )$ perpendicular to the plane $ 3x-2y+4z-5=0$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of the plane passing through the points $ A(1 , -2 , 3 )$ and $B(-1 , 2 , -1 )$ and is parallel to the line $ \large\frac{x-2}{2}=\frac{y+1}{3}=\frac{z-1}{4}.$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equation to the plane through the point $(-1 , 3 , 2 ) $ and perpendicular to the planes $x+2y+2z=5$ and $3x+y+2z=8.$

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of the plane through the point $(1 , 3 , 2 ) $ and parallel to the lines $\large\frac{x+1}{2}=\frac{y+2}{-1}=\frac{z+3}{3}$ and parallel to the line $\large\frac{x-2}{1}=\frac{y+1}{2}=\frac{z+2}{2}$

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of the plane containing the line $\Large\frac{x-2}{2}=\frac{y-2}{3}=\frac{z-1}{3}$ and parallel to the line $\Large\frac{x+1}{3}=\frac{y-1}{2}=\frac{z+1}{1}$

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of the plane through the point $(2 , -1 , 4 )$ and parallel to the plane $\overrightarrow{r} . (\overrightarrow{4i}-\overrightarrow{12j}-\overrightarrow{3k})=7.$

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the equation of the plane through the point whose $p.v. $ is $\overrightarrow{2i}-\overrightarrow{j}+\overrightarrow{k}$ and perpendicular to the vector $\overrightarrow{4i}+\overrightarrow{2j}-\overrightarrow{3k}$

asked Apr 7, 2013 by poojasapani_1

1 answer

The foot of the perpendicular drawn from the origin to the plane is $(8 , -4 , 3 )$ find the equation of the plane.

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the length of the perpendicular frome the origin to the plane$\overrightarrow{r} . (\overrightarrow{3i}+\overrightarrow{4j}+\overrightarrow{12k})=26$.

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the unit normal vectors to the plane $2x-y+2z=5$

asked Apr 7, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of a plane which is at a distance of $18$ units from the origin and which is normal to the vector $\overrightarrow{2i}+\overrightarrow{7j}+\overrightarrow{8k}$

asked Apr 7, 2013 by poojasapani_1

1 answer

Verify the Rolle's theorem for the function $f(x)=x(x-1)^2\;in\;[0,1]$

asked Jan 2, 2013 by sreemathi.v

1 answer

If $y=\tan^{-1}x$, find $\large {\frac{d^2y}{dx^2}}$ in terms of y alone.

asked Jan 2, 2013 by sreemathi.v

1 answer

If $\sqrt {1-x^2}+\sqrt {1-y^2}=a(x-y),$prove that $\large \frac{dy}{dx}=\frac{\sqrt{1-y^2}}{\sqrt{1-x^2}}$.

asked Jan 2, 2013 by sreemathi.v

1 answer

If $x\sin(a+y)+\sin a\cos(a+y)=0,prove\;that\;\large {\frac{dy}{dx}=\frac{\sin^2(a+y)}{\sin a}}$

asked Jan 2, 2013 by sreemathi.v

1 answer

If $y=(\cos x)^{\Large(\cos x)^{(\Large \cos x)..........\infty.}},$show that $\large {\frac{dy}{dx}=\frac{y^2\tan x}{ylog\cos x-1}}$

asked Jan 2, 2013 by sreemathi.v

1 answer

If $y^{\large x}=e^{\large y-x},prove\;that\;\large {\frac{dy}{dx}=\frac{(1+logy)^2}{log y}}$

asked Jan 2, 2013 by sreemathi.v

1 answer

If $x=e^{\Large \frac{x}{y}},prove\; that \; \large {\frac{dy}{dx}=\frac{x-y}{xlog x}}$

asked Jan 2, 2013 by sreemathi.v

1 answer

If $ax^2+2hxy+by^2+2gx+2fy+c=0$,then show that $\large \frac{dy}{dx}.\frac{dx}{dy}\normalsize =1$

asked Jan 2, 2013 by sreemathi.v

1 answer

Find $\large \frac{dy}{dx}$ when x and y are connected by the relation $(x^2+y^2)^2=xy$

asked Jan 2, 2013 by sreemathi.v

1 answer

Find $\large \frac{dy}{dx}$ when x and y are connected by the relation $\tan^{-1}(x^2+y^2)=a $

asked Jan 2, 2013 by sreemathi.v

1 answer

Find $\large \frac{dy}{dx}$ when x and y are connected by the relation $\sec(x+y)=xy$

asked Jan 2, 2013 by sreemathi.v

1 answer

Find $\large \frac{dy}{dx}$ when x and y are connected by the relation $\;\sin(xy)+\large\frac{x}{y}$$=x^2-y$

asked Jan 1, 2013 by sreemathi.v

1 answer

Differentiate $ tan^{-1}\bigg (\Large \frac{\sqrt {1+x^2}-1}{x}\bigg)\;\normalsize w.r.t\;\tan^{-1}x\;when\;x\neq 0$

asked Jan 1, 2013 by sreemathi.v

1 answer

Differentiate $\large \frac{x}{\sin x}\;\normalsize w.r.t\;\sin x.$

asked Dec 31, 2012 by sreemathi.v

1 answer

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