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What is the maximum value of the function `sin x+cos x ?`

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V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find both the maximum value and the minimum value of 3 x^4-8 x^3+12 x^...

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  2. At what points in the interval [0,2 pi], does the function sin 2 x att...

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  3. What is the maximum value of the function sin x+cos x ?

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  4. Find the maximum value of 2 x^3-24 x+107 in the interval [1,3]. Find t...

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  5. It is given that at x = 1, the function x^4-62x^2+ax+9 attains its max...

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  6. Find the maximum and minimum values of x+sin2 x on [0,2 pi]

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  7. Find two numbers whose sum is 24 and whose product as large as possibl...

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  8. Find two positive numbers x and y such that x+y=60 and x y^3 is maximu...

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  9. Find two numbers x and y such that their sum is 35 and the product x^2...

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  10. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

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  11. An rectangle sheet of tin with adjascent sides 45 cm and 24 cm is to b...

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  12. Show that all rectangles with a given perimeter, the square has the ma...

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  13. Of all the cylinders with given surface area, show that the volume is ...

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  14. Of all the closed cylindrical cans (right circular) of a given volume ...

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  15. A wire of length 28 m is cut into two pieces. One of the Pieces is be ...

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  16. Show that the right circular cone of least curved surface and given vo...

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  17. The point on the curve x^2=2y which is nearest to the point (0,5) is -...

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  18. Choose the correct answer. For all real values of x , the minimum valu...

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  19. The maximum value of [x(x-1)+1]^(1//3)0lexle1is a) (1/2)^(1/3) b)1/2 c...

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  20. A man of 2 m height walks at a uniform speed of 6km/h away from a lam...

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