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Use 4th order AB-AM-predictor-corrector method to obtain the solution of the following initial value problem:
dy/dt = (-2t + y)2 - 7, y(0) = 0
i) Use a step size of h=0.1, h=0.05 and h=0.01 to find the approximate solutions on the interval 0 ≤ t ≤ 1;
ii) Given the analytic solution y = 2t + 3(1-e6t)/1-e6t, Compare the results of i) to the exact solution and comment on the accuracy of the numerical algorithm and adopted step size.
Find the probability density function.
Run a regression analysis using the BENEFITS column of all data points in the AIU data set as the independent variable and the INTRINSIC job satisfaction column of all data points in the AIU data set as the dependent variable.
What is the x-intercept of this tangent line? Use this fact to draw the tangent line and find the volume of the solid generated by rotating the top half
Construct a graph showing supply and demand in the tablet case market and how are the laws of supply and demand illustrated in this graph? Explain your answers.
Sketch a phase diagram corresponding to each of these cases. Try to make some general statements about the structure of equilibrium as a function of the parameters.
What is the probability that this string is a mirror image of itself and compute the probability that all of the balls in the sample are the same color
Describe a situation in your business or personal life that required research. You also may describe a current situation that will require research in the future.
Find the inverse transform and find the Laplace transform - Express the following function in terms of unit step functions
Identify what makes flipping a coin and keeping track of tails a binomial experiment and please give one example of each, and describe how these examples differ from one another
Select a project and agree specifications and procedures and implement the project within agreed procedures and to specification.
Evaluate function when f is U-U continuous.
Determine the least number of terms of the Maclaurin series required to get an absolute true error of at most 10-6 in the calculation of sin(0.1).
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