The appropriate change in the volume V of a cube of side x metres caused by increasing the side by 2% is : Option 1: 0.06x^3 m^3 Option 2: 0.02x^3 m^3 Option 3: 3x^2 m^3 Option 4: 0.02x m^3

The answer is '0.06x^3 m^3'. View full solution:

CUET Mathematics - The appropriate change in the volume V of a cube of side x metres caused by increasing the side by 2% is : | PYQs + Solutions

CUET Mathematics 2023 22 May Shift 3

Calculus

Easy

$0.06x^3$ m $^3$

$0.02x^3$ m $^3$

$3x^2$ m $^3$

$0.02x$ m $^3$

✅ Correct Option: 1

Related questions:

27 May Shift 1

For $x \in \mathbb{R}$ , if $f(x) = -(x-1)^2 + 2$ , then

(A) $f$ is an increasing function on $(-\infty, 1]$

(B) $f$ has no critical points

(D) $f$ has a minimum value at $x = 1$

Choose the correct answer from the options given below:

15 June Shift 2

The value of C which satisfies Rolle's Theorem for $f(x) = \sin^4 x + \cos^4 x$ in $\left[0, \frac{\pi}{2}\right]$ . Then C is :

21 May Shift 2

Interval in which the function $f$ given by $f(x) = \tan x - 4x$ , $x \in (0, \frac{\pi}{2})$ is strictly decreasing is