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Find (dy)/( dx), if x=a [ cos t + log ( ...

Find `(dy)/( dx)`, if `x=a [ cos t + log ( tan ""t//2)]& y= a sin t`

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SUNSTAR PUBLICATION-II PUC MATHEMATICS SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2017-PART-C
  1. Solve : tan^(-1)2x+tan^(-1)3x= (pi)/(4)

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  2. Using elementary operations, find the inverse of the matrix [(1,2),(2,...

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  3. Find (dy)/( dx), if x=a [ cos t + log ( tan ""t//2)]& y= a sin t

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  4. Verify Mean Value Theorem for the function f(x)=x^(2) in the interval ...

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  5. Find two positive numbers whose sum is 15 and the sum of whose squares...

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  6. evaluate : intx/((x+1)(x+2))dx.

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  7. Evaluate : int(xcos^(-1)x)/(sqrt(1-x^(2)))dx

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  8. Find the area bounded by the the curve y=cos x between x=0 and x=2pi.

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  9. Find the equation of a curve passing through the point (-2, 3), given ...

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  10. Show that the position vector of the point P, which divides the line j...

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  11. Find x such that the four points A(3,2,1), B(4,x,5), C(4,2,-2) and D(6...

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  12. Find the vector and cartesian equation of the plane which passe3s thro...

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  13. A man is known to speak truth 3 out of 4 times. He throws a dice and r...

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  14. Prove that the function f: R to R defined by f(x) = 4x + 3 is inverti...

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  15. If A= [[0,6,7],[-6,0,8],[7,-8,0]], B= [[0,1,1],[1,0,2],[1,2,0]],C= [[2...

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  16. Solve the following system of equation by using matrix method : x+y+...

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  17. If y=3 cos(log x)+4sin(logx) show that x^(2)y(2)+xy(1)+y=0

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  18. Sand is pouring from a pipe at the rate of 12 cm^(3)//s. The falling s...

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  19. Find the integral of sqrt(a^(2)+x^(2)) with respect to x and hence eva...

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  20. Find the area of the smaller region enclosed by the circle x^(2)+y^(2)...

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