1
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximate error in calculating its surface area.

A
2.16 $$\pi$$ cm$$^2$$
B
21.6 $$\pi$$ cm$$^2$$
C
216 $$\pi$$ cm$$^2$$
D
0.216 $$\pi$$ cm$$^2$$
2
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The diameter and altitude of a right circular cone, at a certain instant, were found to be 10 cm and 20 cm respectively. If its diameter is increasing at a rate of 2 cm/s, then at what rate must its altitude change, in order to keep its volume constant?

A
4 cm/s
B
6 cm/s
C
$$-$$4 cm/s
D
$$-$$8 cm/s
3
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

Given, $$f(x)=x^3-4x$$, if x changes from 2 to 1.99, then the approximate change in the value of $$f(x)$$ is

A
0.08
B
$$-$$0.08
C
0.8
D
$$-$$0.8
4
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the curves $$\frac{x^2}{a^2}+\frac{y^2}{4}=1$$ and $$y^3=16 x$$ intersect at right angles, then $$a^2$$ is equal to

A
$$\frac{2}{3}$$
B
$$\frac{2}{\sqrt{3}}$$
C
$$\frac{4}{3}$$
D
$$\frac{3}{4}$$
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