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Find the difference between the greatest and least values of the function `f(x)=sin2x-xon[-pi/2,pi/2]dot`

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RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. Find the maximum and minimum value of f(x)=sinx+1/2cos2xin[0,pi/2]dot

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  2. Prove that f(x)=sinx+sqrt(3)cosx has maximum value at x=pi/6dot

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  3. Find the difference between the greatest and least values of the fu...

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  4. Find the maximum and minimum values of f(x)=x^(50)-x^(20) in the inter...

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  5. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then...

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  6. At what points, the slope of the curve y=-x^3+3x^2+9x-27 is maximum? A...

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  7. Show that the maximum value of (1/x)^x is e^(1/e)dot

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  8. If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,-1), find the value ...

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  9. A metal box with a square base and vertical sides is to contain 102...

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  10. OR An open box with a square base is to be made out of a given quan...

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  11. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

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  12. A telephone company in a town has 500 subscribers on its list and c...

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  13. The maximum value of f(x)=x/(4-x+x^2) on [-1,1] is (a)1/4 (b) -1/3...

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  14. The function f(x)=sum(r=1)^5(x-r)^2 assuming minimum value at x= ...

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  15. The least value of the function f(x)=x^3-18 x^2+96 x in the interval [...

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  16. The maximum value of x^(1/x),x >0 is (a)e^(1/e) (b) (1/e)^e (c)...

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  17. Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2dot Then, f(x) has a minimum at x= (a...

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  18. Show that of all the rectangles inscribed in a given fixed circle, ...

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  19. AB is a diameter of a circle and C is any point on the circumference o...

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  20. Find the points of local maxima and local minima, if any, y = 3x^3+...

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