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UNITED BOOK HOUSE-SET 19-EXERCISE
- 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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- An unbiased coin is toosed 7 times. Find the probability of getting an...
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- answer any one question : (ii) prove that , tan(pi/4 +1/2 (cos ^(-1) (...
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- Solve : |(x+4, 2x,2x),(2x , x+4, 2x),(2x, 2x, x+4)| = 0
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- By using properties of determinants. Show that: |1+a^2-b^2; 2ab; -2b: ...
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- If y^(1/3) + y^(-1/3) = 2x, prove that (x^2 - 1)y2 + xy1 = 9y.
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- Evaluate : int(loge(x+1))/((x+1)^2) dx
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- Evaluate :int(5^(5^(5^x)cdot 5^(5^(x))cdot 5^x))dx
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- Solve the differential equation: (1+y^2)+(x - e^(tan^-1 y) )dy/dx = 0
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- Find the unit vector which is perpendicular to both veca = 2hati + 3ha...
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- If veca = hati + hatj + hatk , vecb = hatj - hatk then find a vector v...
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- Evaluate: underset(nrarralpha)Lt[1/(sqrt(2n-1^2)) +1/(sqrt(4n-2^2))+1/...
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- Evaluate : int(0)^(pi/4) (sin^2xcos^2xdx)/((sin^3x+cos^3x)^2)
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- A discreate random variable x has the following probability distributi...
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