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Solve the homogenous equationFind the solutions for the following problems
1) m y"(x) + k y(x) = f sin (Ï?t) subjected to y(0)=0 and y'(0) = 1 , [Ï? not equal to the square root of (k/m)] . m and k are constants .
2) x y"(x) - y'(x) + (1/x) y(x) = 0 subject to y(1) = 0 and y"(1) = 1 .How is the solution affected if the constraints are changed to y(0) = 0 and y'(0) = 1 ? What is the special about this case?
What two variables have the strongest positive strength of relationship?
Repeat the procedure making a second graph for the third-order rational function (e.g., x3). For each of the two graphs, describe how changes in coefficients and constants change the behavior of the function.
How many different passwords can be formed? b) How many different passwords have no repeated number or letters?
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
Find A.M, G.M, H.M, median and mode of following data and find the missing frequencies from the data given below if mean is 60.
Until recently, with the advent of cellular phones, modems, and pagers, the area codes in the United States and Canada followed a certain system
what is the probability of drawing an orange marble? Give solutions exactly in reduced fraction form.
Calculate the Standard Deviation of your data, Your ability to describe a normal distribution as evidenced by a bell shaped curve. Your ability to describe the information provided by the Standard Deviation.
A sample of 100 provided a sample mean of 75.7. The population standard deviation is known to be 12. At 0.01 level of significance, what is your conclusion? Use either the p-value approach on the critical value of approach.
Find the multiple integral under given condition using cylindrical coordinate - Determine the triple integral
Hypothesis test for single mean
Probability mass function 2.) Suppose X has probability mass function Pr{X = k} = c(k + 2) for k = -1, 0, 1, 2
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