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Find two positive numbers whose sum is 1...

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

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MAXIMUM PUBLICATION-APPLICATION OF DERIVATIVES-EXAMPLE
  1. The slope of the normal to the curve, y^2=4x at (1,2) is

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  2. Find the intervals in which the function 2x^3+9x^2+12x-1 is strictly i...

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

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  4. Show that the function x^3-6x^2+15x+4 is strictly increasing in R.

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  5. Find the approximate change in volume of a cube of side x meters cause...

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  6. Find the equation of the tangent and normal at the point (1,2) on the ...

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  7. Consider the parametric forms x=(t)+(1/t) and y=(t)-(1/t) of a curve ...

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  8. Consider the parametric forms x=(t)+(1/t) and y=(t)-(1/t) of a curve ...

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  9. Consider the parametric forms x=(t)+(1/t) and y=(t)-(1/t) of a curve ...

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  10. The radius of a circle is increasing at the rate of 2cm//s. Find the r...

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  11. Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2...

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  12. Find the maximum and minimum value of the function f(x)=x^3-6x^2+9x+15...

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  13. Find the approximate value of (82)^(1/4) up to three places of decimal...

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  14. Find two positive numbers such that their sum is 8 and the sum of thei...

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  15. The slope of the tangent to the curve y=x^3-1 at x=2 is………

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  16. Use differentiation to approximate sqrt36.6.

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

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  18. Show that the function x^3-3x^2+6x-5 is strictly increasing on R.

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  19. Find the interval in which the function f(x)=sinx+cosx, 0lexle2pi is s...

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  20. Find the slope of the normal to the curve y=sintheta at theta=pi/4

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