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Find the acute angle between the curves ...

Find the acute angle between the curves `y=x^(2) and x=y^(2)` at their points of intersection `(0,0), (1,1)`.

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The correct Answer is:
`tan^(-1)((3)/(4))`
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FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -ADDITIONAL QUESTIONS SOLVED
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  8. Find the equation of normal to y = x^(3) -3x that is parallel to 2x + ...

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  9. Prove that the curves 2x^(2)+4y^(2)=1 and 6x^(2)-12y^(2)=1 cut each ot...

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  10. Show that the equation of the normal to the curve x=a cos ^(3) theta, ...

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  11. If the curve y^(2) = x and xy = k are orthogonal then prove that 8k^(2...

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  12. Verify Rolle's theorem for the following f(x) = x^(3) -3x + 3 " in "...

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  13. Suppose that f(0) = -3, and f' (x) le 5 for all values of x how large ...

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  14. Using Rolle's theorem find the point on the curve y=x^(2)+1,-2lexle2 w...

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  15. Find 'C' of Lagrange's mean value theorem for the function f(x)=2x^(3)...

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  16. Find 'C' of Lagrange's mean value theorem for the function f(x) =x^(3)...

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  17. The Taylor's series expension of f(x)=sin x "about" x=(pi)/(2) is obta...

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  18. Obatin the Maclaurin's series expansion for the following function . ...

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  19. Evaluate underset(x rarr (pi)/(2))(lim) (log sin x)/((pi - 2x)^(2))

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  20. Evaluate: underset (xrarr0) lim (cot x) ^(sin x)

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  21. underset (x rarr infty) lim(log x^(x))/(x)

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