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Find the approximate value of f(5. 001),...

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

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CENGAGE ENGLISH-APPLICATION OF DERIVATIVES-ILLUSTRATION
  1. Find the approximate value of sin 3.

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  2. Find the approximate volume of metal in a hollow spherical shell wh...

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

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  4. Find the approximate change in the volume V of a cube of side x meters...

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  5. Discuss the applicability of Rolles theorem for the following funct...

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  6. If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles ...

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  7. Show that between any two roots of e^(-x)-cosx=0, there exists at leas...

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  8. How many roots of the equation (x-1)(x-2)(x-3) + (x-1)(x-2)(x-4) + (x-...

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  9. If 2a+3b+6c = 0, then show that the equation a x^2 + bx + c = 0 has at...

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  10. Let f(x) be differentiable function and g(x) be twice differentiable f...

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  11. Let f(x) be differentiable function and g(x) be twice differentiable f...

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  12. Let P(x) be a polynomial with real coefficients, Let a , b in R ,a < ...

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  13. The fucntion f(x)=x^(3)-6ax^(2)+5x satisfies the conditions of Lagrang...

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  14. If f : [ 5, 5] Ris a differentiable function and if f^(prime)(x)does ...

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  17. Let f(x)a n dg(x) be differentiable function in (a , b), continuous at...

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  18. Using Lagranges mean value theorem, prove that |cosa-cosb|<|a-b|dot

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  19. Using lagrange's mean value theorem, show that (beta-alpha)/(1+beta^2...

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  20. Prove that 1/28 lt (28) ^(1//3)-3lt 1/27

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