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Find the rate of change of volume of a s...

Find the rate of change of volume of a sphere with respect to its surface area when the radius is 2cm.

A

1

B

2

C

3

D

4

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CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Single)
  1. Let f be a continuous, differentiable, and bijective function. If the ...

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  2. A point on the parabola y^2=18 x at which the ordinate increases at tw...

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  3. Find the rate of change of volume of a sphere with respect to its s...

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  4. If there is an error of k % in measuring the edge of a cube, then the ...

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  5. A lamp of negligible height is placed on the ground l1 away from a wal...

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  6. The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle'...

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  7. The radius of a right circular cylinder increases at the rate of 0.1 ...

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

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

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  10. 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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  11. Consider the function f(x)={{:(xsin(pi)/(x),"for"xgt0),(0,"for"x=0):} ...

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

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  13. If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have (a...

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

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

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

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

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

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

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

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