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UNITED BOOK HOUSE-SET 6-EXERCISE
- f(x) = { (kx+1, x le pi),( cos x, x >pi):} If f(x) is continous at x =...
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- if y = (x+sqrt(x^2+a^2))^n then prove that (dy)/(dx)= (ny)/(sqrt(x^2+a...
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- Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.
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- Verify Rolle's theorem for the function f(x) = x^2+2x-8 in [-4,2]
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- Solve: (1+x^2)(dy)/(dx) = y+tan^(-1)x
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- If vec p is a unit vector and (vec x- vecp).(vec x+ vecp) = 8 then fin...
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- Find the intercepts made by the plane x-2y+3z-18=0 on the axes.
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- If P(A) = 5/13,P(B)= 6/13 and P(AuuB) = 7//13 then find P(bar A//B) a...
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- The mean and variance of a binomial distribution are 16 and 12 respect...
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- Prove that tan^(-1) {(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cos x)-sqrt(...
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- Let A = [[1,0],[-1,7]] and I = [[1,0],[0,1]] then find the K when A^2=...
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- Show that A = [[1,2,2],[2,1,2],[2,2,1]] satrisfies the matrix equation...
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- If alpha,beta,gamma are in A.P. then show that , |[x-3,x-4,x-alpha],[x...
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- If sqrt(1-x^6)+sqrt(1-y^6) = a(x^3-y^3) then prove that (dy)/(dx)= x^2...
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- If y = (x+ sqrt(1+x^2))^n then prove that (1+x^2)y2+xy1 = n^2y.
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- Evaluate: int (dx)/(1+tanx)
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- Evaluate: int e^x (2-sin 2x)/(1-cos 2x)dx
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- Solve: (x+3)(dy)/(dx)-3y =(x+3)^5
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- Solve: y^2dx+(xy+x^2)dy =0
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- If vec axx vec b= vec cxxvec d and vec axxvec c= vec bxxvec d, vec a n...
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