Question 14 MarksShow that the semi-vertical angle of the cone of the maximum volume and of given slant height $(l)$ is $\tan ^{-1} \sqrt{2}$.AnswerSELFView full question & answer→
Question 24 MarksFind a particular solution of the differential equation $\frac{d y}{d x}+y \cot x=4 x \operatorname{cosec} x$ $(x \neq 0)$ given that $y=0$ when $x=\frac{\pi}{2}$.AnswerSELFView full question & answer→
Question 34 MarksEvaluate $\int_0^\pi \frac{x \tan x}{\sec x+\tan x} d x$AnswerSELFView full question & answer→
Question 44 MarksFind the intervals in which the function $f$ given by $f(x)=\frac{4 \sin x-2 x-x \cos x}{2+\cos x}$ isi) increasingii) decreasingAnswerSELFView full question & answer→
Question 54 MarksProve that$\left|\begin{array}{ccc}(y+z)^2 & x y & z x \\x y & (x+z)^2 & y z \\x z & y z & (x+y)^2\end{array}\right|=2 x y z(x+y+z)^3$AnswerSELFView full question & answer→