For dy⁄dt= x + y given that y= 1 at x= 0 using Runge Kutta fourth order method the value of y at x= 0.2 is ____ .(take h= 0.2)
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A bag contains 5 white and 4 red balls.Another bag contans 4 white and 2 red balls. if one ball is drawn from each bag, the probability that one is white and one is red is ………… .
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Required probability = P (white from first bag and red from second)+ P(red from first bag and white from second)
= 5⁄9 × 2⁄6 + 4⁄9 × 4⁄6 = 5⁄27 + 8⁄27 = 13⁄27 = 0.481
The Laurent’s series of \(\frac{1}{z(e^{z}-1)}\)for |z| < 2 is
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Let f (x) = x(x – 1) (x– 2) be defined in [0,1⁄2]. Then, the value of C of mean value theorem is ________ .
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If the rank of the matrix, A =\(\begin{bmatrix} 2 &-1 &3 \\ 4 &7 &\lambda \\ 1 &4 &5 \end{bmatrix}\) is 2, then the value of λ is _______ .
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If I1, I2 are integrating factor of the equations xy’ + 2y = 1 and xy’ – 2y= 1 then value of I1 I2 is _____
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The value of the internal \(\int_{0}^{100\pi }\)|sin|dx is equal to ____.
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If A is a square matrix of order 3 and|A| = 2, then A (adj A)is equal to
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