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UNITED BOOK HOUSE-SET 4-EXERCISE
- Solve: sin^-1x+sin^-1(1-x)=cos^-1x
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- Show that, A = 1/3[[1,2,2],[2,1,-1],[-2,2,-1]] are orthogonal matrix a...
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- Prove that |[x,a,b],[a,x,b],[a,b,x]|=(x-a)(x-b)(x+a+b)
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- Prove that |[b+c ,a-b, a] ,[c+a, b-c ,b],[ a+b, c-a, c]|=3abc-a^3-b^3-...
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- If y = sin^(-1){(5x+12sqrt(1-x^2))/13} then show that (dy)/(dx) = 1/sq...
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- If (sqrt(1-x^2))y= sin^(-1)x then show that (1-x^2)y2-3xy1-y =0
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- Evaluate: int(sin^(-1)x)/(1-x^2)^(3//2)dx
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- Evaluate: int (dx)/sqrt(2/3x^3-x^2+1/3)
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- Solve: x(dy)/(dx)+3y = x^2
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- Solve: (x^2+y^2)dy-xydx=0
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- If 2vec a+ 3vecb + vec c = vec 0, then show that vec axxvec b+vec bxxv...
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- If vec a = -hat i+hat j+2 hat k, vec b= 2 hati- hatj- hat k, and vec c...
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- Prove that overset(0)underset(-5) int {|x|+|x+2|+|x+5|}dx = 63/2
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- Prove that underset( n rarr infty) lim[1/n+sqrt(n^2-1^2)/n^2+sqrt(n^...
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- For two events A and B [with P(B)ne 0], show that P(A//bar B)= P(A) . ...
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- The sum and product of the mean and variance of a bionimial distributi...
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- If a triangle ABC inscribed in a fixed circle be slightly varies in su...
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- Obtain the equation of the curve passing through the point(4,3) and at...
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- find the co-ordinate of the point on the cute y = (x^2-1)/(x^2+1) (x>0...
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- Find the value of lambda for which the vectors 3i-2j-k,2i+3j-4k,-i+j+2...
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