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If y = 2 sin^(-1)(x-2)/sqrt6-sqrt(2+4x-x...

If `y = 2 sin^(-1)(x-2)/sqrt6-sqrt(2+4x-x^2)`, then show that `(dy)/(dx)|_(x=2) = 2/sqrt6`

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UNITED BOOK HOUSE-SET 5-EXERCISE
  1. If vec a= 4 hati- hat j-3hat k and vec b = -2 hat i+hat j+2 hat k are ...

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  2. Find the equation of the plane passing through the point (4,1,1) and p...

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  3. The mean and standard deviationg of a binomial distribution B(n,p) ar...

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  4. The value 2tan^(-1)[sqrt((a-b)/(a+b))tan(theta/2)] is equal to cos^(-1...

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  5. If A = [[2,-1],[3,2]] and B = [[0,4],[-1,7]] then determine the matric...

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  6. If [1x1]xx[[1,3,2],[2,5,1],[15,3,2]]xx[[1],[2],[x]]=0 then find the va...

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  7. Solve for x |x-2 , 2x-3, 3x-4,x-4 ,2x-9, 3x-16 ,x-8, 2x-27, 3x-64|=0.

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  8. If y = 2 sin^(-1)(x-2)/sqrt6-sqrt(2+4x-x^2), then show that (dy)/(dx)|...

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  9. If t is a parameter and x = t^2+2t,y = t^3-3t then show that (d^2y)/(d...

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  10. Evaluate :intdx/(3+2sinx+cosx)

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  11. Evaluate: int( (x-1)dx)/((x-3)(x-2))

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  12. Solve: (dy)/(dx)+y tan x= 2x+x^2 tanx

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  13. Solve: xdx + y dy + xdy - ydx = 0

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  14. If the position vector of A,B,C are 2i+4j-k,4i+5j+k and 3i+6j-3k respe...

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  15. Find a unit vector perpendicular to the plane of ABC where the positio...

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  16. Prove that overset(pi)underset(0)int (xdx)/(a^2 cos^2x +b^2 sin^2x) = ...

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  17. Prove that overset(3)underset(0)int(2x^2+3x+5)dx= 93/2

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  18. In a triangle ABC if the sides a, b be constant and the base angles A ...

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  19. If vec a, vec b, vec c are unit vectors satisfying the condition veca+...

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  20. Find the distance of the point (0,-3,-2) from the plane x+2y-z =1 meas...

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