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The parametric equations of the curve x^...

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

A

`x=a sin ^(3) theta, y=a cos^(3) theta`

B

`x=a cos^(4) theta , y=a sin ^(4) theta `

C

`x=a^(3) sin theta, y=a^(3) cos theta`

D

`x=a^(3) costheta, y=a^(3) sin theta`

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FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -ADDITIONAL QUESTIONS SOLVED
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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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  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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  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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