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UNITED BOOK HOUSE-SET 18-EXERCISE
- If sin^(-1) ((x^2-y^2)/(x^2+y^2))=k, k is a constant, then prove that ...
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- Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.
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- Using the method of differentail find the approximate value of sqrt 0....
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- If veca = 3hati - 2hatj + hatk and vecb = hati - 3hatj + hatk find vec...
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- If direction ratios of two lines are (a,b,c)and (b-c,c-a,a-b), find an...
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- Find the binomial distribution for which the mean and variance are 12 ...
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- If for two events A and B, P(A) = P(A/B) = 1/4 and P(B/A) = 1/2, show ...
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- if tan ^(-1) x+tan ^(-1)y+tan ^(-1) z=pi/2 and x+y+z= sqrt3 , then sho...
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- If A = [(1,0),(0,1)] and B = [(0,1),(-1,0)], show that (pA + qB) (pA -...
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- If x,y,z are all distinct and if abs((x,x^2,1+x^3),(y,y^2,1+y^3),(z,z^...
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- Solve for x : |(x,a,b),(a,x,b),(a,b,x)| = 0
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- Find the derivation of sin^-1 (x^2 sqrt(1-x) - sqrtx sqrt(1-x^4)) with...
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- Evaluate : int(x^2dx)/((x sin x + cos x)^2)
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- Solve: (dy)/(dx) +x(sin2y) = x^3 cos^2 y, y(0) = then y(1) equal to
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- The temperature T of a cooling object drops at a rate proportional to ...
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- If veca,vecb are unit vectors and theta be the angle between them show...
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- If with reference to the right handed system of mutually perpendicular...
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- Evaluate : underset(nrarrinfty)Lt[(1)/(sqrt(n^2 - 1^2)) + 1/(sqrt(n^...
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- Evaluate : overset(log5)underset(0)int (e^xsqrt(e^x-1))/(e^x + 3 ) dx
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- A random variable X has the following probability function: Calculate...
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