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UNITED BOOK HOUSE-QUESTION PAPER 2015-EXERCISE
- If the function f(x) = {((sin x)/(kx)+k, x!=0),(2,x=0):} is continuous...
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- If sin^(-1) ((x^2-y^2)/(x^2+y^2))=k, k is a constant, then prove that ...
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- Evaluate the int sin sqrtxdx
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- Find the differential equation of the curves given by y = Ae^(2x)+Be^(...
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- Find the vector equation of the line whose Cartesian equation is given...
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- If veca and vecb are two vectors such that |veca|=2,|vecb|=3 and veca....
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- Find out the mean and variance of the following probability distributi...
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- Find the probability that birthdays of any two members out of five me...
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- Prove that tan^(-1)(1/(x+y))+tan^(-1)(y/(x^2+xy+1) )= cot^(-1)x.
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- If A = ([1,4],[2,3]) then show that A^2-4A-5I = theta and using this f...
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- Solve the following equations by Cramer's method: x+y=1,y+z= 2,x+z=3.
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- Show that |[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|=2(a+b+c)^3.
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- Solve for x: |[x,c+x,b+x],[c+x,x,a+x],[b+x,a+x,x]|=0
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- Find (dy)/(dx) where x= cos^(-1)(8t^4-8t^2+1) y =sin^(-1)(3t-4t)^3...
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- Evaluate: int(2^xdx)/sqrt(4^x-2^(x+2)+5)
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- Evaluate : int (3x+5)/(x^3-x^2-x+1)dx
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- SolveL (1+y)^2dx=(tan^(-1)y-x)dy, given that y= 0 when x= -1.
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- If the rate of increase of population is 5% per year, then in how man...
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- Find vecc, when vecaxxvecc=vecb and veca.vecc= 3 where veca= hatr+hatj...
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- Find the value of lambda if three vectors veca= 2hati-hatj+hatk,vecb= ...
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