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If x = sqrt(a^(sin^(-1)t)) and y= sqrt(a...

If `x = sqrt(a^(sin^(-1)t))` and `y= sqrt(a^(cos^(-1)t)` show that `(dy)/(dx)= -y/x`.

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If x=sqrt(a^(sin^(-1)t)), y= sqrt(a^(cos^(-1)t)) , show that (dy)/(dx)= -(y)/(x) .

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UNITED BOOK HOUSE-QUESTION PAPER 2017-EXERCISE
  1. Show that , A =1/3[[-1,2,-2],[-2,1,2],[2,2,1]] is proper orthogonal ma...

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  2. Prove that |[1,logxy,logxz],[logyx,1,logyz],[logzx,logzy,1]|=0

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  3. If x = sqrt(a^(sin^(-1)t)) and y= sqrt(a^(cos^(-1)t) show that (dy)/(...

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  4. Verify Rolle' theorem for the function f(x)= x^2-4x+3 in 1lexle3.

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  6. A particle starts with the velocity u and moves in a straight line, i...

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  7. Find the interval where f(x) = 1/(1+x^2) decrease.

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  8. If f(x)= f(a+x) then prove that the value of overset(a+t)underset(a)in...

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  9. If vec a= 3hati+hatj+9 hat k and vecb = hati +lambda hat j+3 hat k the...

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  10. Find the vector equation of a plane through the point hati+ hat j+hat ...

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  11. If P(A)=2/3,P(B)=1/2 and P(AnnB)=1/6 then find the value of P(AnnB^C).

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  17. Evaluate: int (xdx)/(x^4-x^2+1)

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  18. Solve: ydx-(x+2y^2)dy=0.

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  19. In a certain culture the rate of increment of bacterial at any instant...

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