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If x=(sin^(3)t)/(sqrt(cos2t)) and y=(cos...

If `x=(sin^(3)t)/(sqrt(cos2t))` and `y=(cos^(3)t)/(sqrt(cos2t))`, then find `(dy)/(dx)`.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
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  2. Prove that int0^(pi/2)lnsinxdx=pi/2ln( 1 /2)

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  3. If x=(sin^(3)t)/(sqrt(cos2t)) and y=(cos^(3)t)/(sqrt(cos2t)), then fin...

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  7. If y=x sin^-1x+xcos^-1x, then what is dy/dx?

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  8. Give an example of a relation which is symmetric and anti-symmetric.

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  9. What is the value of int0^1sin^2tdt+int0^1cos^2tdt-int0^1dr?

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  10. What is the principal value of sin^(-1)(sin((2pi)/3))?

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  15. What is the value of intsin^2xd(sinx)?

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  16. Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.

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