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The maximum value of [x(x-1)+1]^(1/3), 0...

The maximum value of `[x(x-1)+1]^(1/3), 0lexle1` is:

A

`(1/3)^(1/3)`

B

`1/2`

C

1

D

0

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

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  2. For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:

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  3. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

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  4. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

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  5. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

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  6. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

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  7. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

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  8. The normal to the curve x^2 = 4y passing (1,2) is:

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  9. The points on the curve 9y^2 = x^3 , where the normal to the curve mak...

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  10. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

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  11. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

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  12. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

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  13. The equation of the normal to the curve y = sin x at (0,0) is

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  14. The point on the curve y^2=x, where the tangent makes an angle of pi/4...

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  15. The volume of a cube is increasing at the rate of 9 "cm"^(3)//sec. How...

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  16. The length 'x' of a rectnagle is decreasing at the rate of 3cm/m and t...

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  17. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

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  18. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

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  19. Find the slope of tangent to the curve y=2x^2-3 at x=1/4

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  20. The interval for which the function f(x)=x^2-6x+3, is strictly increas...

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