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Find the slope of the tangent to the cur...

Find the slope of the tangent to the curve
x=2(t-sin t) and y = 2(1-cost) at t=`(pi)/(4)`

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SHARAM PUBLICATION-QUESTION PAPER 2013-EXERCISE
  1. Find the derivative of sinx^(x) with respect to x.

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  2. Differentiate sin^(-1) ((2X)/(1+X^(2))) with respect to cos^(-1) ((1-X...

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  3. Find the slope of the tangent to the curve x=2(t-sin t) and y = 2(1...

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  4. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

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  5. Find the extreme values of the function y = X + 1/x.

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  6. Integrate: int sqrt(1-cos2x)dx

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  7. Integrate: int a^(x+2)dx

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  8. Integrate: int cosx/sin^(5)xdx

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  9. Evaluate int0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cos x))dx

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  10. Solve (dy)/(dx) = e^(2x+3y).

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  11. Solve (dy)/(dx)+y=e^(-x)

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  12. Find the differential equation whose general solution is y = a cos x +...

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  13. If veca = (2,-2,1), vecb = (2,3,6) and vecc = (-1,0,2), Find the magni...

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  14. Prove the following by vector method. An angle inscribed in a semi-cir...

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  15. If veca, vecb and vecc mutually perpendiculars, show that [veca.(vecbx...

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  16. Show that the points (3,-2,4)(1,1,1) and (-1,4,-1) are collinear.

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  17. Find the equation of a plane biscting the line segment joining (-1,4,3...

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  18. Find the value of r, if the line  (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...

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  19. Find equation of the sphere if the line segment joining the Points (4,...

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  20. Find the maixmum value of z =50x1+60x2 subject to 2x1+3x2le6,x1,x2ge0

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