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Suppose that 8 cards, of which four are red, two are green and two are blue, are placed at random in 8 envelopes (-5 ,Two envelops are selected at random . (بريدي 1. find the probability that the envelops have red cards 2. find the probability that they have cards of the same colors? PA ce 7 A- B I
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Solve the following DE xy'"' + 3y" = 0
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Solve the following DE y (4) + 5y" + 4y = sin x + cos2x
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Solve the following DE using an integrating factor dx + + 6-siny) dy = 0
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Solve the following IVP 4y = y = xex/2, y(0) = 1, y'(0) = 0
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1. A shop produces pipes of 100cm length. But due to manufacturing errors, sometimes the pipes are too long or too short. Let X be the error in the length of pipes produced in a shop. X has the following probability distribution if -2<x<2, 0 otherwise a. Find A. b. Find the cumulative distribution function of X? c. Find the expected value of X....
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1. A shop produces pipes of 100cm length. But due to manufacturing errors, sometimes the pipes are too long or too short. Let X be the error in the length of pipes produced in a shop. X has the following probability distribution if -2<x<2, 0 otherwise a. Find A. b. Find the cumulative distribution function of X? c. Find the expected value of X....
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Find the eigenvalues and the corresponding eigenvectors of the matrix 3 2 4 -2 -2 -4 2 1
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Exercise 6. Double integral in rectangular coordinates (16 pts 10 pts) Let I = $T, sea dydz
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Problem TWO 3 1 1] Find the eigenvalues and the corresponding eigenvectors of the matrix 0 0 0 0. 1 0