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A cylindrical tank of radius 10m is bein...

A cylindrical tank of radius 10m is being filled with wheat at the rate of 314 cubic metre per hour. Then the depth of the wheat is increasing at the rate of (a) 1 m/hr (b) 0.1 m/hr (c) 1.1 m/h (d) 0.5 m/hr

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Let r be the radius of the cylinder. Then, volume (V) of the cylinder is given by,
`V=pi(radius)^2times height`
`=pi(10)^2h=100pih`
...
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NCERT ENGLISH-APPLICATION OF DERIVATIVES-SOLVED EXAMPLES
  1. A cylindrical tank of radius 10m is being filled with wheat at the ...

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  2. Use differential to approximate sqrt(36. 6)

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  3. Find the equation of tangent to the curve given byx=asin^3t ,y=bcos^3t...

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  4. Find the approximate value of f(3. 02), where f(x)=3x^2+5x+3.

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  5. The line y=mx+1 is a tangent to the curve y^2=4x if the value of m is(...

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  6. If the radius of a sphere is measured as 9 cm with an error of 0.03 c...

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  7. Find the approximate change in the volume V of a cube of side x meter...

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  8. Find the maximum and minimum values of f , if any, of the function gi...

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  9. Find the maximum and the minimum values, if any, of the function f gi...

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  10. Find all points of local maxima and local minima of the function f gi...

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  11. Find the maximum and the minimum values, if any, of the function give...

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  12. Let f(x)=3x^(4)+4x^(3)-12x^(2)+12. Find local maximum and minimum valu...

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  13. Find all the points of local maxima and local minima of the function ...

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  14. Find all the points of local maxima and local minima of the function ...

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  15. Find local minimum value of the function f given by f(x)=3+|x|,x in R...

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  16. Let AB and CD be two vertical poles at point A and B , respectively ,...

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  17. If the length of three sides of a trapezium other than the base is 1...

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  18. Find two positive numbers whose sum is 15 and the sum of whose square...

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  19. Find the shortest distance of the point (0, c) from the parabola y=x^2...

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  20. Prove that the radius of the right circular cylinder of greatest cu...

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  21. Find the absolute maximum and minimum values of a function f given ...

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