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Find the coordinates of the point on the...

Find the coordinates of the point on the curve `sqrtx + sqrty = 4` at which tangent is equally inclined to the axes.

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Prove that the curves y^2 = 4x and x^2 + y^2 - 6x + 1 = 0 touch each o...

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  2. Find the equations of normal(s) to the curve x^2 + 2y^2 - 4x - 6y + 8 ...

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  3. Find the coordinates of the point on the curve sqrtx + sqrty = 4 at wh...

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  4. Show that the equations of the normal at any point theta on the curve ...

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  5. Find the angle of intersection of the curves y=x^(2) and y=4-x^(2).

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  6. Show that the line x/a + y/b = 1 touches the curve y = be^(x//a) at th...

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  7. Find the equation of the tangent to the curve y=sqrt(3x-2) which is pa...

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  8. Prove that the curves x = y^2 and xy = k cut at right angles if 8k^2 =...

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  9. Find the condition that the curves 2x = y^2 and 2 xy = k may intersect...

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  10. For the curve y = 5x - 2x^3, if x increases at te rate of 2units/s, th...

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  11. In the following problems, use differentials to find the approximate v...

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  12. In the following problems, use differentials to find the approximate v...

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  13. In the following problems, use differentials to find the approximate v...

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  14. In the following problems, use differentials to find the approximate v...

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  15. In the following problems, use differentials to find the approximate v...

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  16. In the following problems, use differentials to find the approximate v...

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  17. In the following problems, use differentials to find the approximate v...

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  18. If y = sin x and x change form pi/2 to 22/14, what is the approximate ...

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  19. A circular metal plate expands under heating so that its radius increa...

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  20. If the side of a cube be increased by 0.1%. Find the corresponding inc...

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