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The radius of a right circular cylinder ...

The radius of a right circular cylinder increases at a constant rate. Its altitude is a linear function of the radius and increases three times as fast as the radius when the radius is `1 cm` and the altitude is `6\ cm`. When the radius is `6 cm`, the volume is increasing at the rate of `1\ cm^(3)//s` . When the radius is `36 cm`, the volume is increasing at a rate of `n\ cm^(3)//s`. What is the value of `n`?

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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  14. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

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  18. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

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  19. If f(x) is a cubic polynomil which has local maximum at x=-1 . If f(2)...

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  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  21. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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