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Find the approximate change in the surfa...

Find the approximate change in the surface area of a cube of side x meters caused by decreasing the side by 1%.

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MAXIMUM PUBLICATION-APPLICATION OF DERIVATIVES-EXAMPLE
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  4. The length 'x' of a rectangle is decreasing at the rate of 2cm//s and ...

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  5. The length 'x' of a rectangle is decreasing at the rate of 2cm//s and ...

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  8. Prove that the curve x=y^2 and xy=k cut at right angles, if 8k^2=1.

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  9. The gradient at any point (x,y) of a curve is 3x^2-12 and the curve th...

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  10. The gradient at any point (x,y) of a curve is 3x^2-12 and the curve th...

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  11. Consider the curve x^(2/3)+y^(2/3)=2 Find the slope of the tangent t...

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  12. Consider the curve x^(2/3)+y^(2/3)=2 Find the equation of the normal...

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  13. Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x...

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  14. Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x...

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  15. Use differentials to find the approximate value of sqrt0.6 up to 3 pla...

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  16. Use differentials to find the approximate value of (0.999)^(1/10) up t...

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  17. Use differentials to find the approximate value of (15)^(1/4) up to 3 ...

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  18. Use differentials to find the approximate value of (26.57)^(1/3) up to...

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  19. Find the approximate value of f(5.001) where f(x)=x^3-7x^2+15.

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  20. Find the approximate value of f(3.02) where f(x)=3x^2+5x+3.

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