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UNITED BOOK HOUSE-SET 3-EXERCISE
- Events A and B are such that P(A) =(1)/(2), P(B) =(7)/(12) and "P(not ...
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- A binomial distribution B(n,p) has the mean 8 and variance 8/3. Find ...
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- Show that cos^(-1) ((cosx+cos y)/(1+cos x.cosy))= 2tan^(-1)(tan(x/2).t...
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- By row transformation find inverse of the matrix A= [[1,3,2],[-3,-3,-1...
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- Show that, A = 1/3[[1,2,2],[2,1,-2],[-2,2,-1]] are orthogonal matrix a...
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- Prove that, |[(a+1)(a+2),a+2,1],[(a+2)(a+3),a+3,1],[(a+3)(a+4),a+4,1]|...
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- If y = 3e^(2x)+2e^(3x) then show that y2-5y1 +6y=0
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- If x = sqrt(a^(sin^(-1)t)) and y= sqrt(a^(cos^(-1)t) show that (dy)/(...
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- Evaluate: int(sin^(-1)x)/(x^2 dx
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- Evaluate: int (dx)/(x(x^n+1))
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- Solve: (dy)/(dx)+y/x = e^x
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- Solve: (dy)/(dx) = (2x+3y)/(3x+2y)
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- If veca = hati+hatj + hat k, vecb=hati+hatj,vec c= hati and (vec axxve...
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- If vec a= hat i+hat j- hat k, vec b= -hat i+2 hat j+ hat k and vec c =...
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- Prove that overset(2)underset(-2)int |1-x^2|dx=4
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- Evaluate (with the help of definite integral) underset(n rarr infty)...
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- If two dice are rolled 12 times, obtain the mean and varianve of the d...
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- Find the equation to the curve passing through (2,2) and having its ...
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- Find the area of the parallelogram whose two adjacent sides are 3i+4j ...
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- The foot of the perpendicular drawn from the origin 0 to a plane is N(...
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