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

The interval in which the function $$f(x)=x^3-6 x^2+9 x+10$$ is increasing in

A
$$[1,3]$$
B
$$(-\infty, 1) \cup(3, \infty)$$
C
$$(-\infty,-1] \cup[3, \infty)$$
D
$$(-\infty, 1] \cup[3, \infty)$$
2
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
$$14 \sqrt{3} \mathrm{~cm}^2 / \mathrm{sec}$$
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