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UNITED BOOK HOUSE-SET 13-EXERCISE
- Examine whether f(x) = |x| has a derivative at x = 0.
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- State Lagrange's mean value theorem.
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- Evaluate:int(sin x dx)/(cos 2x)
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- Find the integrating factor of the differential equation (x + y + 1)(d...
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- Prove that the function(sin(x + alpha))/(sin(x + beta)) has neither a ...
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- Using the method of differentail find the approximate value of sqrt 0....
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- A variable plane moves in such a way that the sum of the reciprocals o...
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- If A and B are two independent events, prove that A^C and B are also i...
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- Five cards are drawn successively with replacement from a well-shuffle...
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- If sin(alpha + beta) = 4/5 and sin (alpha - beta)= 5/13, find the valu...
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- If A and B are tow matrices such that AB =O, can we deduce that eithe...
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- (AB)^(-1) = B^(-1)A ^(-1) where A and B are invertible matrices satisf...
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- Answer the foll. Question : 2.show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]...
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- Evaluate:int (dx)/(sqrt (sin^3 xsin(x+alpha)
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- Evaluate: int(log(logx)+1/((logx)^2))dx
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- Solve:cos^2x (dy)/(dx) + y= tanx(0 le x le pi/2).
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- Prove, by vector method or otherwise, that the point of intersectio...
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- Find the value of lambda if three vectors veca= 2hati-hatj+hatk,vecb= ...
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- A candidate is selected for interview for the three posts. For the fir...
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- For a random variable X, it is given, E(x) = 10 and var(x) = 25. Find ...
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