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The radius of a cylinder increases at a ...

The radius of a cylinder increases at a rate of 1 cm/s and its height decreases at a rate of 1cm/s. Find the rate of change of its volume when the radius is 5 cm and the height is 15 cm. If the volume should not change even when the radius and height are changed, what is the relation between the radius and height?

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
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  9. Show that the function x^3-6x^2+15x+4 is strictly increasing in R.

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  10. Show that all rectangles with a given perimeter, the square has the ma...

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  11. Show that the function x^3-3x^2+6x-5 is strictly increasing on R.

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  13. The slope of the tangent to the curve y=x^3-1 at x=2 is………

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  14. Use differentiation to approximate sqrt36.6.

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  16. Find the equation of the tangentto the ellipse x^2/a^2+y^2/b^2=1at(x1,...

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  18. Find the intervals in which the function f(x)=2x^3-15x^2+36x+1 is inc...

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  19. Find the approximate value of (626)^(1//4).

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