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The radius of a right circular cylinder ...

The radius of a right circular cylinder increases at the rate of 0.1 cm/min, and the height decreases at the rate of 0.2 cm/min. The rate of change of the volume of the cylinder, in `c m^2//m in` , when the radius is `2c m` and the height is 3cm is `-2p` (b) `-(8pi)/5` `-(3pi)/5` (d) `(2pi)/5`

A

`-2 pi`

B

`-(8pi)/(5)`

C

`16//6`

D

`-8//15`

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The correct Answer is:
D
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CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Single)
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  5. The radius of a right circular cylinder increases at the rate of 0.1 ...

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  6. A cube of ice melts without changing its shape at the uniform rate ...

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  7. The radius of the base of a cone is increasing at the rate of 3 cm/min...

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  8. If f(x)=x^3+7x-1, then f(x) has a zero between x=0a n dx=1 . The theor...

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  10. Let f(x)a n dg(x) be differentiable for 0lt=xlt=1, such that f(0),g(0)...

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  12. A value of c for which the conclusion of Mean value theorem holds for ...

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  13. Let f(x) be a twice differentiable function for all real values of x a...

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  14. The value of c in Lagranges theorem for the function f(x)=logsinx in t...

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  15. In which of the following function Rolle's theorem is applicable ?

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  16. Let f'(x)=e^(x)""^(2)and f(0)=10.If Altf(1)ltB can be concluded from t...

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  17. If f(x)a n dg(x) are differentiable functions for 0lt=xlt=1 such that ...

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  18. A continuous and differentiable function y=f(x) is such that its graph...

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  19. Given f^(prime)(1)=1"and"d/(dx)(f(2x))=f^(prime)(x)AAx > 0.If f^(pri...

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  20. If (x) is differentiable in [a,b] such that f(a)=2,f(b)=6, then there ...

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