AP EAPCET 2021 - 20th August Morning Shift | Application of Derivatives Question 56 | Mathematics

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?

4 cm/s

6 cm/s

$$-$$4 cm/s

$$-$$8 cm/s

AP EAPCET 2021 - 19th August Evening Shift

MCQ (Single Correct Answer)

-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

0.08

$$-$$0.08

0.8

$$-$$0.8

AP EAPCET 2021 - 19th August Evening Shift

MCQ (Single Correct Answer)

-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

$$\frac{2}{3}$$

$$\frac{2}{\sqrt{3}}$$

$$\frac{4}{3}$$

$$\frac{3}{4}$$

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Questions Asked from MCQ (Single Correct Answer)

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