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UNITED BOOK HOUSE-SET 19-EXERCISE
- Number of relations of a set having 5 elements are
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- If a matrix A = (alpha(ij))(3xx4) and alpha(ij) = (-1)^(hati + hatj), ...
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- If f(x) = loge ((1-x)/(1+x)), then f'(0) is
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- Find the interval of the function f(x) = x^3 in which it is increasing
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- A and B are two independent events P(A) = 1/3 and P(A nnB) = 1/6, then...
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- The value of int(-1)^(1) |2x + 1|dx is
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- find the length of the perpendicular drawn from the point (2,1,-1) on ...
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- If sin^-1 x - cos^-1 x = pi/6 then x is
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- The I.F. of the differential equation x log x (dy)/(dx) + 2y = log x i...
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- Let * be a binary operations on Z and is defined by , a * b = a + b + ...
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- Evaluate: 4(2tan^(-1)(1/3)+tan^(-1)(1/7))
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- Prove that (a+b+c+x) is a factor of |(x+a, b,c),(b,x+c,a),(c,a,x+b)|
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- If P = ((1,2,1),(1,3,1)) and Q = PP^T , then find Q
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- Verify Rolle's theorem for the function f(x) = sin x + cosx in the int...
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- Evaluate : underset(x rarr0) Lt (logecosx)/(sin^2 x)
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- Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.
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- If x>1/2, show that the function f(x) = x(4x^2 - 3) is steadily increa...
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- If |veca| = sqrt3,|vecb| = 2 and veca.vecb = sqrt6, then find the angl...
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- If the line (x-2)/(6) = (y-1)/(lambda) = (z+5)/(-4) is perpendicular t...
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- The probability that A hits a target is 1/3 and the probability that B...
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