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The number given by the Rolle's theorem ...

The number given by the Rolle's theorem for the function `x^(3)-3x^(2),x in[0,3]` is

A

1

B

`sqrt2`

C

`(3)/(2)`

D

2

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The correct Answer is:
D
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PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Solution To Exercise 7.10
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  2. A balloon rises straight up at 10m/s. An observer is 40 m away from th...

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  3. The position of a particle moving along a horizontal line of any time ...

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  4. A stone is thrown up vertically. The height it reaches at time t secon...

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  5. Find the point on the curve 6y = x^(3) + 2 at which y-coordinate chang...

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  6. The abscissa of the point on the curve f(x)=sqrt(8-2x) at which the sl...

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  7. The slope of the line normal to the curve f(x)=2cos4x" at "x=pi/12 is

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  8. The tangent to the curve y^(2)-xy+9=0 is vertical when ……………… .

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  9. Angle between y^(2) = x and x^(2) = y at the origin is

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  10. What is the value of the limit underset (xrarr0)lim (cot x-(1)/(x))?

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  11. The function sin^(4)x+cos^(4)x is increasing in the interval

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  12. The number given by the Rolle's theorem for the function x^(3)-3x^(2),...

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  13. The number given by the Mean value theorem for the function 1/x,x in[1...

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  14. The minimum value of the function |3-x|+9 is

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  15. The maximum slope of the tangent to the curve y = e^(x) sin x, x in [0...

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  16. The maximum value of the functions x^(2) e^(-2x) , x gt 0 is ……….

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  17. One of the closest points on the curve x^(2) - y^(2) = 4 to the point ...

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  18. The maximum value of the product of two positive numbers, when their s...

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  19. The curve y=ax^(4)+bx^(2)" with "abgt0

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  20. The point of inflection of the curve y=(x-1)^(3) is

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