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For what values of x the rate of increas...

For what values of x the rate of increase of `x^(3) - 2x^(2) + 3x + 8` is twice the rate of increase of x.

A

`(-(1)/(3), -3)`

B

`((1)/(3), 3)`

C

`(-(1)/(3), 3)`

D

`((1)/(3), 1)`

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The correct Answer is:
D
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PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Choose the correct answer)
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  2. f is a differentiable function defined on an interval I with positive ...

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  3. For what values of x the rate of increase of x^(3) - 2x^(2) + 3x + 8 i...

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  4. The least possible perimeter of a rectangule of area 400 m^(2) is

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  5. The equation of the normal to the curve y = x^(3) " at" (1, 1) is

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  6. The equation of the tangent to the curve y = (x^(3))/(5) " at " (-1, -...

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  7. Which of the following is concave down:

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  8. If f(a) = 2, f'(a) = 1, g(a) = -1, g' (a) = 2. Then underset(x rarr a)...

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  9. The velocity v of a particle moving along a straight line when at a di...

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  10. The value of c in Lagrange's mean value theorem for the function f(x) ...

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  11. The function f(x) = x^(2) is decreasing in

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  12. y = -e^(x) is

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  13. If f has a local extremum at a and if f'(a) exists then

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  14. A spherical snowball is melting in such a way that its volume is decre...

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  15. f(x) = sqrtx, a = 1, b = 4 find c in Lagrange's mean value theorm:

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  18. f'(x) = x^(2) - 5x + 4 then f(x) is decreasing in

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  19. If the normal to the curve x^(2//3)+y^(2//3)=a^(2//3) makes an angle t...

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