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Prove that the curve x=y^2 and xy=k cut ...

Prove that the curve `x=y^2` and `xy=k` cut at right angles, if `8k^2=1`.

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MAXIMUM PUBLICATION-APPLICATION OF DERIVATIVES-EXAMPLE
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  3. Prove that the curve x=y^2 and xy=k cut at right angles, if 8k^2=1.

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  4. The gradient at any point (x,y) of a curve is 3x^2-12 and the curve th...

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  6. Consider the curve x^(2/3)+y^(2/3)=2 Find the slope of the tangent t...

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  7. Consider the curve x^(2/3)+y^(2/3)=2 Find the equation of the normal...

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  8. Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x...

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  9. Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x...

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  10. Use differentials to find the approximate value of sqrt0.6 up to 3 pla...

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  13. Use differentials to find the approximate value of (26.57)^(1/3) up to...

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  14. Find the approximate value of f(5.001) where f(x)=x^3-7x^2+15.

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  15. Find the approximate value of f(3.02) where f(x)=3x^2+5x+3.

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  16. Consider the function y=sqrtx If x=0.0036 and trianglex=0.0001 find ...

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  17. Consider the function y=sqrtx Hence approximate sqrt.0037 using diff...

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  18. Find the approximate value of root(3)(124).

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