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If the curves (x^(2))/(a^(2))+(y^(2))/(4...

If the curves `(x^(2))/(a^(2))+(y^(2))/(4)=1` and `y^(3)=16x` intersect at right angles, show that `a^(2)=(4)/(3)`.

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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -PRACTICE WORK
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  2. Find the equation of the normal to the curve y=(1+x)^(y)+sin^(-1)(sin^...

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  3. If the curves (x^(2))/(a^(2))+(y^(2))/(4)=1 and y^(3)=16x intersect at...

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  4. Find the equations of the tangents drawn to the curve y^(2)-2x^(3)-4y+...

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  5. Find the approximate value of each of the following : sqrt(399)

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  6. Using differentials, find the approzimate value of each of the followi...

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  7. Using differentials, find the approximate value of each of the up to 3...

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  8. Find the approximate value of each of the following : cos 29^(@)

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  9. Find the approximate value of each of the following : tan 31^(@)

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  10. Find the approximate value of each of the following : log(e )(100...

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  11. Find the approximate value of each of the following : (15.5)^((1)...

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  12. Using differentials, find the approximate value of each of the up to 3...

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  13. Find the approximate value of each of the following : (65)^((1)/(...

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  14. Find the approximate value of each of the following : log(e )(10....

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  15. If f(x)=2x^(2)-3x+5 then find the approximate value of f(1.05).

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  16. The radius of a cone is twice of its height and the radius is 10 cm. I...

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  17. Find the approximate change in the surface area of a cube of side x m ...

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  18. The angle of elevation of a tower from a point 200 m away from the tow...

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  19. Area of the triangle is calculated by the formula A=(1)/(2)ab sin C. I...

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  20. Find the maximum and minimum values in the following functions : ...

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