Question
If y = x:
  1. 0.32
  2. 0.032
  3. 5.68
  4. 5.968

Answer

  1. 0.32

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

If the mean and variance of a binomial variate $X$ are $2$ and $1$ respectively, then the probability that $X$ takes a value greater than $1$, is
A value of $\theta  \in  (0, \pi /3)$, for which $\left| {\begin{array}{*{20}{c}}
  {1 + {{\cos }^2}\,\theta }&{{{\sin }^2}\,\theta }&{4\,\cos \,6\theta } \\ 
  {{{\cos }^2}\,\theta }&{1 + {{\sin }^2}\,\theta }&{4\,\cos \,6\theta } \\ 
  {{{\cos }^2}\,\theta }&{{{\sin }^2}\,\theta }&{1 + 4\,\cos \,6\theta } 
\end{array}} \right| = 0$, is
What is the value of the integral $I = \int {\frac{{dx}}{{(1 + {e^x})\,\,(1 + {e^{ - x}})}}} $
If $u = {\tan ^{ - 1}}\left\{ {{{\sqrt {1 + {x^2}} - 1} \over x}} \right\}$ and $v = 2{\tan ^{ - 1}}x$, then ${{du} \over {dv}}$ is equal to
For a real number $\alpha$, if the system

$\left[\begin{array}{ccc}1 & \alpha & \alpha^2 \\ \alpha & 1 & \alpha \\ \alpha^2 & \alpha & 1\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}1 \\ -1 \\ 1\end{array}\right]$

of linear equations, has infinitely many solutions, then $1+\alpha+\alpha^2=$

$\frac{{{d^3}y}}{{d{x^3}}} + 2\,\left[ {1 + \frac{{{d^2}y}}{{d{x^2}}}} \right] = 1$ has degree and order as
$\sin \left( {4{{\tan }^{ - 1}}\frac{1}{3}} \right) = $
Evaluate : $\int_2^4 \frac{x}{x^2+1} d x$
$\int_{}^{} {{{\tan }^{ - 1}}\frac{{2x}}{{1 - {x^2}}}dx = } $
Consider the following statements:
  1. $\tan^{-1} 1+ \tan^{-1} (0.5) = \dfrac {\pi}2$
  2. $\sin^{-1}{\cfrac{1}{3} }+ \cos^{-1}{\cfrac{1}{3}} =\cfrac{\pi}{2}$
Which of the above statements is/are correct ?
  1. 1 only
  2. 2 only
  3. Both 1 and 2
  4. Neither 1 nor 2