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The sum of the surface areas of a sphere...

The sum of the surface areas of a sphere and a cube is given. Show that when the sum of their volumes is least, the diameter of the sphere is equal to the edge of the cube.

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Ratio is 1:1
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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Advanced (Archive)
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  3. Let f:Rrarr(0,oo)andg:RrarrR be twice differentiable functions such th...

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  7. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

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  9. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

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  10. The length of the longest interval in which the function 3sinx-4sin^3x...

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  13. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

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  16. Let f:(0,oo) in R be given f(x)=overset(x)underset(1//x)int e^(t+(1)...

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  17. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real number xdot Then (a) h ...

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  18. Let f(X) be a polynomila of degree four having extreme values at x =1 ...

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

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

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