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Find two positive numbers whose sum is 1...

Find two positive numbers whose sum is 16 and whose sum of cubes is minimum.

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8, 8
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BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE
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  2. Find the points on the curve y=x^(3) at which slope of tangent is equa...

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  3. Show that the right circular cylinder of given surface and maximum vol...

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  4. Find the equation of tangent to the curve y = x^3 - 2x^2 - 2x at which...

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  5. Find the point on the curve y=x^(3)-2x^(2)-2x at which the tangent lin...

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  6. Find the equation of the tangent line to the curve x^2 + 3y =2 which i...

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

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  8. Find the interval in which the function f(x)=10-6x-2x^(2) is strictly ...

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  9. Find a point on the curve y = (x - 2)^2 at which the tangent is parall...

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  10. Find points at which the tangent to the curve y = x^3-3x^2-9x+7 is par...

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  11. Use differentials to find the approximate values of the following (8...

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  12. Find the slope of the tangent of the curve y = x^2-3x+2 at the point w...

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  13. Evaluate int(x)/sqrt(x-1)dx

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  14. Find two positive numbers whose sum is 16 and whose sum of cubes is mi...

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  15. Find the maximum profit that a company can make of the profit function...

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  16. Find the equation of normal to the curve, y = .x^3 at the point (1,1).

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  17. Using differentials, find the approximate value of sqrt 49.5.

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  18. Find points at which the tangent to the curve y = x^3-3x^2-9x+7 is par...

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  19. A wire of length 28 m is to be cut into two pieces, one of the pieces ...

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  20. A square sheet of tin of size 24 cm is to be made into a box without t...

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