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UNITED BOOK HOUSE-SET 5-EXERCISE
- Evaluate: int (x^2+1)/(x+1)^2 dx
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- Verify Rolle' theorem for the function f(x)= x^2-4x+3 in 1lexle3.
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- solve : (dy)/(dx) = (1-cos x)/(1+ cosx)
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- Find the interval in which the function f(x)= x^3-6x^2+9x+5 is decrea...
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- 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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- Find the equation of the plane passing through the point (4,1,1) and p...
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- The mean and standard deviationg of a binomial distribution B(n,p) ar...
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- The value 2tan^(-1)[sqrt((a-b)/(a+b))tan(theta/2)] is equal to cos^(-1...
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- If A = [[2,-1],[3,2]] and B = [[0,4],[-1,7]] then determine the matric...
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- 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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- 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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- If y = 2 sin^(-1)(x-2)/sqrt6-sqrt(2+4x-x^2), then show that (dy)/(dx)|...
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- If t is a parameter and x = t^2+2t,y = t^3-3t then show that (d^2y)/(d...
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- Evaluate :intdx/(3+2sinx+cosx)
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- Evaluate: int( (x-1)dx)/((x-3)(x-2))
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- Solve: (dy)/(dx)+y tan x= 2x+x^2 tanx
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- Solve: xdx + y dy + xdy - ydx = 0
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- If the position vector of A,B,C are 2i+4j-k,4i+5j+k and 3i+6j-3k respe...
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- Find a unit vector perpendicular to the plane of ABC where the positio...
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- Prove that overset(pi)underset(0)int (xdx)/(a^2 cos^2x +b^2 sin^2x) = ...
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