Recent questions tagged easy

Show that the function : $f(x)= \left\{ \begin{array}{1 1} |x|, & \quad x\leq2 \\ [x], & \quad x>2 \end{array} \right. $ is continuous [0,2].

asked Jan 25, 2013 by meena.p

1 answer

Is the function $ f(x)=\Large\frac{3x+4\tan x}{x}$ continuous at x = 0? If not, how may the function be defined to make it continuous at this point.

asked Jan 25, 2013 by meena.p

1 answer

Find $\Large \frac{dy}{dx}$ when $y=\tan^{-1}\Large\frac{1+x^2}{1-x^2}$

asked Jan 25, 2013 by meena.p

1 answer

Find $\Large \frac{dy}{dx}$ when $ y=a^x.x^a$

asked Jan 25, 2013 by meena.p

1 answer

Verify Rolles theorem for the function $f(x)=\sin 2x \;in\;\bigg[0,\Large\frac{\pi}{2}\bigg]$

asked Jan 25, 2013 by meena.p

1 answer

Let $y=y=\sqrt{e^\sqrt x },x>0\;find\;\large\frac{dy}{dx}.$

asked Jan 25, 2013 by meena.p

1 answer

If $ \begin{bmatrix} x+3 & 4 \\ y-4 & x+y \end{bmatrix} = \begin{bmatrix} 5 & 4 \\ 3 & 9 \end{bmatrix} $, find x and y.

asked Jan 25, 2013 by thanvigandhi_1

1 answer

If $ f(x)=\begin{vmatrix} x & x^2 & x^3 \\ 1 & 2x & 3x^2 \\ 0 & 2 & 6x \end{vmatrix}$ than find $ f' (x)$

asked Jan 25, 2013 by meena.p

1 answer

Find the set of all points where the function f(x) = 2x |x| is differentiable.

asked Jan 24, 2013 by meena.p

1 answer

Find $ \frac{dy}{dx}\;when\;y=\Large x^{x^{x^{x.....}}}$

asked Jan 24, 2013 by meena.p

1 answer

Let f be a non zero continuous function satisfying f(x+y) = f(x).f(y) for all x, y $ \epsilon$ R. If f(2) = 9 then find the value of f(3).

asked Jan 24, 2013 by meena.p

1 answer

Let f be continuous function on [1,3]. If f takes only rational values for all x and f(2) = 10 then find the value of f(1.5)

asked Jan 24, 2013 by meena.p

1 answer

If performance of the students ‘y’ depends on the number of hours ‘x’ of hard work done per day is given by the relation. Y = 4 x -$ \frac {x^2} {2} $ Find the number of hours, the students work to have the best performance. ‘Hours of hard work are necessary for success’ Justify.

asked Jan 24, 2013 by shanthinig

0 answers

Find a matrix X such that 2A + 2B + X = 0, where $ A = \begin{bmatrix} -1 & 3 \\ 2 & 1 \end{bmatrix} $ and $ B = \begin{bmatrix} 1 & 5 \\ 3 & 2 \end{bmatrix} $

asked Jan 24, 2013 by thanvigandhi_1

1 answer

If $ A = \begin{bmatrix} 4 & 1 \\ 5 & 8 \end{bmatrix},$ show that A + A' is symmetric matrix.

asked Jan 24, 2013 by thanvigandhi_1

1 answer

Prove: $\cos^{-1}x-\cos^{-1}y=\cos^{-1}\bigg[xy+\sqrt{1-x^2}.\sqrt{1-y^2}\bigg]$

asked Jan 24, 2013 by meena.p

1 answer

Find the principal value of $\sin^{-1}\bigg(\frac{-\sqrt {3}}{2}\bigg)+\cos^{-1}\bigg(\frac{-\sqrt {3}}{2}\bigg)$

asked Jan 23, 2013 by meena.p

1 answer

Considering the principal solutions, find the number of solutions of $ \tan^{-1}2x+\tan^{-1}3x=\frac{\pi}{4}$

asked Jan 23, 2013 by meena.p

1 answer

Solve for $x$: $\sin\bigg[\sin^{-1}\frac{1}{3}+\cos^{-1}x\bigg]=1$

asked Jan 23, 2013 by meena.p

1 answer

Find the value of $\tan^{-1}1+\tan^{-1}2+\tan^{-1}3.$

asked Jan 23, 2013 by meena.p

1 answer

Find the value of $\cos\bigg\{\cos^{-1}\bigg(\frac{-\sqrt {3}}{2}\bigg)+\frac{\pi}{6}\bigg\}$

asked Jan 23, 2013 by meena.p

1 answer

If $ \begin{vmatrix} 3x & 7 \\ 2 & 4 \end{vmatrix} $= 10, find x.

asked Jan 23, 2013 by thanvigandhi_1

1 answer

Find the value of a and b, if $\begin{bmatrix} 2 & -2 \\ 3 & 7 \end{bmatrix} = \begin{bmatrix} 2 & a \\ 3 & 2a+b \end{bmatrix} $

asked Jan 22, 2013 by thanvigandhi_1

1 answer

sketch the graph of y=|x+3| and evaluate $\int_{-6}^0|x+3| dx.$

asked Jan 21, 2013 by sreemathi.v

1 answer