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A cylindrical container is to be made fr...

A cylindrical container is to be made from certain solid material with the following constraints: It has a fixed inner volume of `V m^3`, has a 2 mm thick solid wall and is open at the top. The bottom of the container is a solid circular disc of thickness 2mm and is of radius equal to the outer radius of the container. If the volume the material used to make the container is minimum when the inner radius of the container is `10 mm`. then the value of `V/(250 pi)` is

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RESONANCE ENGLISH-APPLICATION OF DERIVATIVES-Exersise-3 Part I
  1. If f(x) is a polynomial of degree 4 having extremum at x=1,2 and lim(x...

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  2. Let f be a function defined on R (the set of all real numbers) such th...

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  3. Let f,g and h be real-valued functions defined on the interval [0,1] b...

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  4. The number of distinct real roots of x^4-4x^3+12 x 62+x-1=0i sdot

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  5. Let p(x) be a real polynomial of least degree which has a local maximu...

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  6. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

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  7. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

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  8. A rectangular sheet of fixed perimeter with sides having their lengths...

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  9. A vertical line passing through the point (h, 0) intersects the ellips...

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  10. The funciton f(X) =2|x|+|x+2|-||x+2|-|x|| has a local mimimum or a lo...

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  11. Let f:[0,1]rarrR be a function. Suppose the function f is twice differ...

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  12. Let a in R and let f: Rvec be given by f(x)=x^5-5x+a , then (a) f(x...

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  13. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

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  14. A cylindrical container is to be made from certain solid material with...

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  15. Let f,g:[-1,2]vecR be continuous functions which are twice differentia...

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  16. Let f:Rrarr(0,oo)andg:RrarrR be twice differentiable functions such th...

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  17. If f:R->R is a twice differentiable function such that f''(x) > 0 for ...

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  18. If f:R is a differentiable fucntion such that f(x) gt 2f(x) for all x...

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  19. If f(x) = \begin{vmatrix} cos2x & cos2x & sin2x \\ -cosx & cosx & -...

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  20. For every twice differentiable function f: R to [-2,2] with (f^(0))^(2...

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