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1
KCET 2019
MCQ (Single Correct Answer)
+1
-0

The sides of an equilateral triangle are increasing at the rate of $$4 \mathrm{~cm} / \mathrm{sec}$$. The rate at which its area is increasing, when the side is $$14 \mathrm{~cm}$$

A
$$42 \mathrm{~cm}^2 / \mathrm{sec}$$
B
$$10 \sqrt{3} \mathrm{~cm}^2 / \mathrm{sec}$$
C
$$14 \mathrm{~cm}^2 / \mathrm{sec}$$
D
$$14 \sqrt{3} \mathrm{~cm}^2 / \mathrm{sec}$$
2
KCET 2018
MCQ (Single Correct Answer)
+1
-0
Approximate change in the volume $V$ of a cube of side $x$ metres caused by increasing the side by $3 \%$ is
A
$0.09 \mathrm{x}^3 \mathrm{~m}^3$
B
$0.03 x^3 \mathrm{~m}^3$
C
$0.06 x^3 \mathrm{~m}^3$
D
$0.04 x^3 \mathrm{~m}^3$
3
KCET 2018
MCQ (Single Correct Answer)
+1
-0
The maximum value of $\left(\frac{1}{x}\right)^x$ is
A
e
B
$e^e$
C
$e^{1 / e}$
D
$\left(\frac{1}{e}\right)^{1 / e}$
4
KCET 2018
MCQ (Single Correct Answer)
+1
-0
$f(x)=x^x$ has stationary point at
A
$x=e$
B
$x=\frac{1}{e}$
C
$x=1$
D
$x=\sqrt{e}$
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