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The gradient of the curve y=-2x^(3)+3x+5...

The gradient of the curve `y=-2x^(3)+3x+5` at `x=2` is ………..

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FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -ADDITIONAL QUESTIONS SOLVED
  1. Show that the volume of the largest right circular cone that can be i...

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  2. A closed box (cuboid) with a square base is to have a volume 2000c.c, ...

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  3. Find the numbers whose sum is 100 and whose product is maximum.

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  4. Find two positive numbers whose product is 100 and whose sum is minimu...

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  5. The gradient of the curve y=-2x^(3)+3x+5 at x=2 is ………..

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  6. The rate of change of area A of a circle of radius r is ………….

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

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  8. The parametric equations of the curve x^(2//3)+y^(2//3)=a^(2//3) are …...

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

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  10. What is the surface area of a sphere when the volume is increasing at ...

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

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  12. If the volume of an expanding cube is increasing at the rate of 4 cm^(...

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  13. If a normal makes an angle theta with positive x-axis then the slop of...

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  14. If the velocity of a particle moving along a straight line is directl...

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  15. The Rolle's constant for the function y=x^(2) on [-2,2] is ……………

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  16. The value 'c' of Lagranges Mean Value Theorem for f(x)=sqrtx when a=1 ...

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  17. In a given semi circle of diameter 4 cm a rectangle is to be inscribed...

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  18. The least possible perimeter of a rectangle of area 100 m^(2) is ………….

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  19. Which of the following curves is concave down ?

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  20. The point of inflection of the curve y = x^(4) is at:

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