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Recent questions tagged p116

For the curve $\sqrt x + \sqrt y=1,\large \frac{dy}{dx}$ at $\bigg(\large\frac{1}{4},\frac{1}{4}\bigg)$ is ____________.

asked Mar 26, 2014 by balaji.thirumalai

1 answer

Find the distane between the parallel planes $x-y+3z+5=0; 2x-2y+6z+7=0$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the distance from the origin to the plane $\overrightarrow{r}=(\overrightarrow{2i}+\overrightarrow{j}+\overrightarrow{5j})=7$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the meeting point of the line $\overrightarrow{r}(\overrightarrow{2i}+\overrightarrow{j}-\overrightarrow{3k}) + t(\overrightarrow{2i}-\overrightarrow{j}-\overrightarrow{k}) $ and the plane. $x-2y+3z+7=0$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the point of intersection of the line $\overrightarrow{r}=(\overrightarrow{j}-\overrightarrow{k})+s(\overrightarrow{2i}-\overrightarrow{j}+\overrightarrow{k})$ and $x z$ - plane.

asked Apr 8, 2013 by poojasapani_1

1 answer

Can u draw a plane through the given two lines? justify your answer.$\overrightarrow{r}(\overrightarrow{i}+\overrightarrow{2j}-\overrightarrow{4k})+t (\overrightarrow{2i}+\overrightarrow{3j} +\overrightarrow{6k})$ and $ r=(\overrightarrow{3i}+\overrightarrow{3j}-\overrightarrow{5k})+ s(-\overrightarrow{2i}+\overrightarrow{3j}+\overrightarrow{8k})$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the equations of the plane which contains the two lines $\large\frac{x+1}{2}=\frac{y-2}{-3}=\frac{z-3}{4}$ and $\large\frac{x-4}{3}=\frac{y-1}{2}=z-8$

asked Apr 8, 2013 by poojasapani_1

1 answer

True or False: If f.g is continuous at $x=a$,then f and g are separately continuous at $x=a.$

asked Jan 3, 2013 by sreemathi.v

1 answer

True or False: Trigonometric and inverse-trigonometric functions are differentiable in their respective domain.

asked Jan 3, 2013 by sreemathi.v

1 answer

True or False: The composition of two continuous functions is a continuous function.

asked Jan 3, 2013 by sreemathi.v

1 answer

True or False: If f is continuous on its domain D ,then | f | is also continuous on D.

asked Jan 3, 2013 by sreemathi.v

1 answer

True or False: Rolle's theorem is applicable for the function $f(x)=|x-1|$ in [0,2].

asked Jan 3, 2013 by sreemathi.v

1 answer

If $f(x)=\mid \cos x-\sin x\mid,then\;f'(\frac{\pi}{3})$=__________.

asked Jan 3, 2013 by sreemathi.v

1 answer

If $f(x)=\mid \cos x\mid$,then $f'(\frac{\pi}{4})$=____________.

asked Jan 3, 2013 by sreemathi.v

1 answer

Derivative of $x^2$ w.r.t $x^3$ is _____________.

asked Jan 3, 2013 by sreemathi.v

1 answer

An example of a function which is continuous everywhere but fails to be differentiable exactly at two point is ____________.

asked Jan 3, 2013 by sreemathi.v

1 answer

For the function $f(x)=x+\large \frac{1}{x},\normalsize x\in[1,3]$,the value of c for mean value theorem is

asked Jan 3, 2013 by sreemathi.v

1 answer

The value of c in Rolle's theorem for the function $f(x)=x^3-3x$ in the interval $[0,\sqrt 3]$ is

asked Jan 3, 2013 by sreemathi.v

1 answer

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