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ENGINEERING MATHEMATICS QUESTIONS -
Q1. Differentiate the following n times
a. x2y'' + xy' + y = 0
b. (1 + x2)y'' + 2xy' - 5y = 0
Q2. Find the power series of the equation:
xd2y/dx2 + dy/dx + xy = 1
Describe the statistical analysis. (HINT: This should either be a correlation/regression depending on your research question). What is your IV(s)? What is your DV? What level of measurement are your IV(s) and DV? What is your alpha level?
The perpetual American call option is a call option that can be exercised at any time in the future and never expires. What will its value be in a positive-interest-rate world?
Suppose N = 10 and r =3. Compute the hypergeometric probabilities for the following values of n and x.
In 2014, Congress estimated that the cost of increasing support and expanding pre-kindergarten education and infant and toddler childcare would cost $28 billion
Prepare a 95% confidence interval for the average grocery bill. Would a 99% confidence interval be narrower or wider than the 95% confidence interval?
What is the optimal production mix to schedule? Can the selling prices change without changing the optimal production mix?
Find the volume of the solid formed when the shaded region is revolved about the indicated axis. Find the volume of the solid generated by revolving the region bounded by y = x (1 +x3)1/4 over 0 ≤ x ≤ 1 about the x-axis.
A scale drawing of an office building is not labeled, but indicates 0.25 inch = 5 feet. On the drawing, one wall measures 2 inches. How long is the actual wall?
Using a value of 10% for the volatility of the one year forward rate, construct a three-year binomial interest rate tree with one year forward rates.
Obtain your results for n = 2, 4, 6, ...., 40 panels. For each case, calculate the error in the approximation using the exact value of the integral.
The U.S. Border Patrol is considering two remotely operated, solar-powered surveillance systems for a popular border crossing point.
The respondent, Dr. Ortega, was a physician and psychiatrist and an employee of a state hospital who had primary responsibility for training physicians in the.
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