If x = _0^y dtsqrt(1+9t^2) and d^2y/dx^2 = y, then, is equal to Option 1: 3 Option 2: 6 Option 3: 9 Option 4: 12

The answer is '9'. View full solution:

CUET Mathematics - If x = _0^y dtsqrt(1+9t^2) and d^2y/dx^2 = y, then, is equal to | PYQs + Solutions

CUET Mathematics 2022 6 Aug Shift 2

Calculus

Hard

$3$

$6$

$9$

$12$

✅ Correct Option: 3

Related questions:

27 May Shift 1

If $f(x) = \begin{cases} ax - 1 & {if } x \ > 1\\ \ 2x + 1 & {if } x < 1 \end{cases}$ is continuous at $x = 1$ , then $a$ equals

2 June Shift 1

If $y = \sin^{-1}x$ , then $(1-x^2)\frac{d^2y}{dx^2}$ is equal to

22 May Shift 2

Match List-I with List-II

Where $\mathbb{R}$ is set of real numbers

List-I	List-II
(A) $\sin x$ is continuous on:	(I) $\mathbb{R} - \{0\}$
(B) $\tan x$ is continuous on:	(II) $\mathbb{R}$
(C) $\cot x$ is continuous on:	(III) $\mathbb{R} - \{n\pi: n \in \mathbb{Z}\}$
(D) $x^{-n}, n \in \mathbb{N}$ is continuous on:	(IV) $\mathbb{R} - \left\{(2n + 1)\frac{\pi}{2}: n \in \mathbb{Z}\right\}$

Choose the correct answer from the options given below: