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A cylindrica container is to be made fro...

A cylindrica 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-APPLICATION OF DERIVATIVES-Exersise-3 Part I
  1. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

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  2. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is 6 (b)...

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

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  4. A vertical line passing through the point (h,0) intersects the ell...

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  5. The function f(x)=2|x|+|x+2|=||x|2|-2|x|| has a local minimum or a loc...

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  6. Let f[0, 1] -> R (the set of all real numbers be a function.Suppose t...

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  7. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  8. line L:y=mx+3 meets y–axis at E(0, 3) and the are of the parabola y^(2...

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

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

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  11. A cylindrica container is to be made from certain solid material with ...

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  12. Let f,g:[-1,2]rarr RR be continuous functions which are twice differen...

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  13. Let f: R to (0 ,oo)" and " g :R to R be twice differentiable function...

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  14. Which of the following options is the only INCORRECT combination ?

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  15. Which of the following options is the only CORRECT combination

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  16. Which of the following options is the only CORRECT combination ?

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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:RR-> RR is a differentiable function such that f(x) > 2f(x) f...

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  19. then

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

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