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UNITED BOOK HOUSE-SET 14-EXERCISE
- prove without expanding, |[(a-b),1,a],[b-c,1,b],[c-a,1,c]|=|[a,1,b],[b...
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- If two matrices A and B of orders 2 xxm and 3xxn respectively are conf...
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- Evaluate:underset(xrarr0)lim log(1 + alphax)/(sin betax)
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- If y = logxtanx, find (dy)/(dx).
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- overset(pi//2)underset(-pi//2)int |sin x|dx =
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- Form the diffential equation of family of parabolas having vertex at t...
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- If f(x) = (x-1)e^x + 1, show that f(x) is positive for all positive va...
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- Using direction ratios show that the points (2,6,3),(1,2,7) and (3,10,...
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- Find the equation of the plane which passing through the point hati + ...
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- For three mutually exclusive events X,Y and Z it is given that P(x) = ...
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- A discrete random variable X has the following distribution: find a.
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- If xy = 1 + a^2 then show that, tan^(-1) [1/(a + x)]+tan^(-1) [1/(a+y)...
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- By using properties of determinants. Show that: |1+a^2-b^2; 2ab; -2b: ...
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- If y = f(x^2) and f'(x) = sqrt (3x^2+1), find [(dy)/(dx)](x=2)
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- If y= (tan^(-1)x)^2, then show that (1+x^2)^2(d^2y)/(dx^2)+2x(1+x^2)(d...
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- Prove that, int(cos 5x + cos4x)/(1-2cos 3x)dx= -(1/2 sin2x + sinx)+c
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- Solve:(dy)/(dx)=(3x + 4y+1)/(-4x+2y-3)
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- Solve:(x^2-1)(dy)/(dx) + 2xy = 2/(x^2-1)
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- vec a = hati +hatj + hatk and vecb = -2hati +hatj +2hatk represent two...
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- Find the vector alpha which is perpendicular to both 4 hati + 5hatj -...
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