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UNITED BOOK HOUSE-SET 12-EXERCISE
- An unbiased coin is tossed three times in succession, then the probabi...
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- The probability density function of a random variable X is f(x) = k(x-...
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- Solve:sin^(-1) cos(sin^(-1)x) = pi/3.
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- If A = [[4,5],[5,6]], show that A^2 = 10A + I where I is the unit matr...
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- Prove that, underset(xrarr0)lim (logcosx)/sin^2x = -1/2
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- If y = tan^(-1) (secx + tanx), find (d^2y)/(dx^2).
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- Prove that, underset(a)overset(b)int f(a + b - x)dx= underset(a)overse...
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- Solve:2^(x-y) dx + 2^(y-x) dy = 0
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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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- Find the area in the fourth quadrant bounded by the curve y = x^3 - 8 ...
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- Can the numbers 1,2,3 be the direction ratio of a straight line? Give ...
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- Find the intercept form of a plane with intercepts 2,3 and 4 on the x,...
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- A and B are two independent events with P(A) = 2/5 and P(B) = 1/3, eva...
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- The mean and variance of a binomial distribution are 4 and 3 respectiv...
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- If tan^(-1)x, tan^(-1)y and tan^(-1)z are in A.P, find the algebric re...
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- Prove that, the inverse of a given square matrix, if its exists, is un...
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- Prove that, |(2a, a-b-c,2a),(2b,2b,b-c-a),(c-a-b,2c,2c)|=(a + b+c)^3
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- If sqrt(1 -x^2) + sqrt(1-y^2) = a(x-y), show that, (dy)/(dx) = sqrtfra...
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- Evaluate: int (xdx)/[(x^2 - a^2)(b^2-x^2)] (b^2>a^2).
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- Evaluate: int(sqrt x dx)/sqrt(a^3 - x^3)
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