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Find the approximate change in the volum...

Find the approximate change in the volume V of a cube of side 'x' metres caused by increasng the side by 2%.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the approximate value of : f(3,02), where f(x) = 3x^2 + 15x + 3

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  2. Find the approximate value of f(5·001), where f(x) = x^3-7x^2+15.

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  3. Find the approximate change in the volume V of a cube of side 'x' metr...

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  4. Find the approximate change in the surface area of a cube of side x me...

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  5. If the radius of a sphere is measured as 9 cm with an error of 0.03 cm...

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  6. Use differentials to find cos61^@, it being given that sin60^@ = 0.866...

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  7. If y = x^4-10 and if x changes form 2 to 1.99, what is approximate cha...

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  8. Find the approximate value of f(2.01) where f(x) = 4x^2+ 5x +2.

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  9. Use differenttials, find the approximate value of the following: sin(2...

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  10. Use differenttials, find the approximate value of the following: cos(1...

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  11. If y = sin x and x change form pi/2 to 22/14, what is the approximate ...

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  12. A circular metal plate expands under heating so that its radius increa...

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  13. Find the percentage error in calculating the surface area of a cubical...

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  14. The radius of a spherical diamond is measured as 6 cm with an error of...

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  15. Find the maximum or minimum values, if any, of the following functions...

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  16. Find the maximum and minimum values, if any, of the following function...

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  17. Find the maximum and minimum values, if any, of the following function...

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  18. Find the maximum or minimum values, if any, of the following functions...

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  19. Find the maximum or minimum values, if any, of the following functions...

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  20. Find the maximum or minimum values, if any, of the following functions...

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