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A tank is in the form of inverted cone, having height 8 meters and base radius 2 meters. Water is flowing into the tank at the rate of (1/8) `m^3`/min. The rate at which the water level is rising, when the water is 2.5 meters deep is….. A) (8/`pi`) m/min B) (8/25`pi`) m/min C) (25`pi` / 8) m/min D) (8/15`pi`) m/min

A

(8/`pi`) m/min

B

(8/25`pi`) m/min

C

(25`pi` / 8) m/min

D

(8/15`pi`) m/min

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CHETANA PUBLICATION-Applications of Derivatives-Exercise
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  13. If f(x) = x-sqrt x is increasing in the interval..

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  14. The function f(x) = x- cosx, is increasing in....... A) (pi/2, pi) B)...

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  15. The function f(x) =x^3-3x^2+3x-100, x in R is....... A) increasing B)...

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  16. At x=-1, the function f(x) = 2x^3-3x^2-12x+12 is...... A) maximum B) m...

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  17. Function f(x) = x^2-3x+4 has minimum value at..... A) x= 0 B) x= -3/...

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  18. If the sum of the two numbers is 15 and the sum of their squares is mi...

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