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Find two numbers x and y such that their...

Find two numbers x and y such that their sum is 35 and the product `x^2y^5` is a maximum.

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MAXIMUM PUBLICATION-APPLICATION OF DERIVATIVES-EXAMPLE
  1. Consider the function y=sqrtx Hence approximate sqrt.0037 using diff...

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  2. Find the approximate value of root(3)(124).

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

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  4. Using differentials, find the approximate value of (63)^(1/3)

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  5. Find the point on the curve y=x^3-10x+8 at which the tangent is parall...

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  6. Find the point on the curve y=x^3-10x+8 at which the tangent is parall...

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  7. Suppose that a spherical balloon is inflated and it has volume 'v' and...

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  8. Suppose that a spherical balloon is inflated and it has volume 'v' and...

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  9. Use differentials to find the approximate value of (0.009)^(1/3) up to...

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  10. Find the approximate value of sqrt401.

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  11. Consider y=logx/x, in (0,infty) Find the value of x at which dy/dx=0

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  12. Consider y=logx/x, in (0,infty) Find the maximum value.

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  13. Find the point on the curve y=x^3-11x+5 at which the tangent is y=x-11

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  14. Consider the curve y=x^2-2x+7 Find the slope of the tangent of the c...

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  15. Consider the curve y=x^2-2x+7 Write down the equation of the tangent...

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  16. Find the absolute maximum value and minimum value of the function. f...

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  17. Find the absolute maximum value and minimum value of the function. f...

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  18. Consider the function y=x^3-6x^2+3x-1 Find the slope at x=-1.

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  19. Consider the function y=x^3-6x^2+3x-1 Find the minimum gradient of t...

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  20. A curve passes through the origin, and its gradient function is 2x-x^2...

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