CUET Mathematics - The volume of a cube is increasing at the rate of 27 cm^3/s. How fast is the surface area increasing when the length of the cube is 12 cm. | PYQs + Solutions

CUET Mathematics 2023 23 May Shift 3

Calculus

Medium

9 cm $^2$ /s

$\frac{9}{4}$ cm $^2$ /s

$\frac{4}{9}$ cm $^2$ /s

$\frac{9}{2}$ cm $^2$ /s

✅ Correct Option: 1

Related questions:

27 May Shift 1

The largest open interval in which the function $f(x) = 4x^3 - 5x^2 - 8x + 12$ increases, is:

22 May Shift 2

Match List-I with List-II

List-I	List-II
(A) Marginal average cost if cost function $C(x) = \frac{50}{\sqrt{x}}$	(I) $50\sqrt{x}$
(B) Marginal average cost if cost function $C(x) = 50\sqrt{x}$	(II) $-\frac{75}{x^2\sqrt{x}}$
(C) Revenue function if demand function $P=\frac{50}{\sqrt{x}}$	(III) $\frac{-25}{x\sqrt{x}}$
(D) Marginal revenue if demand function $P=50\sqrt{x}$	(IV) $75\sqrt{x}$

Choose the correct answer from the options given below:

25 May Shift 1

The approximate volume of a cube of side a meters on increasing the side by 4% is:

CUET Mathematics 2023 23 May Shift 3 PYQs