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Using differentials, find an approximate...

Using differentials, find an approximate value of each of the following:
`(66)^(1/3)`

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

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  2. Using differentials, find an approximate value of each of the followin...

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  3. Using differentials, find an approximate value of each of the followin...

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  4. Show that the function given by f(x) = (logx)/x has maximum at x=e

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  5. The two equal sides of an isosceles triangle with fixed base b are dec...

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  6. Find the slope of the normal to curve xy = 6 at point (1,6)

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  7. Show that the normal at any point theta to the curve x = a cos theta +...

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  8. Find the intervals in which the function f given by f(x) = (4 sinx-2x-...

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  9. Find the intervals in which the function f given by f(x) = (4 sinx-2x-...

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  10. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

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  11. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

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  12. Find the maximum area of an isosceles triangle inscribed in the ellips...

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  13. A tank with rectangular base and rectangular sides, open at the top is...

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  14. The sum of the perimeter of a circle and square is k, where k is some ...

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  15. A window is in the form of a rectangle surmounted by a semi-circular o...

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  16. A point on the hypotenuse of a triangle is at distance a and b from th...

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  17. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

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  18. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

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  19. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

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  20. Find the absolute maximum and minimum values of the function f given b...

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