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Problem 1:
a) Write an approximation of the integral from 0 to pi of "sin(x) dx" using the Trapezoid rule and Simpson's rule with n = 4. Evaluate sums
b) Estimate the error in the the Trapezoid rule approximation.
c) How large must n be so that Tn is accurate within 0.001?
Problem 2:
Sketch a direction field for the ordinary equation y' = k(y-a). Then use it to sketch a solution curve that passes through the origin.
Problem 3:
If y is the solution of the initial value problem
dy/dt = 2y(1-y/1), y(0) = 1
then limit as t approaches infinity is y = e7.
If false, what is limit as t approaches infinity of y? Justify answers.
Consider a standard deck of playing cards. You randomly select a card from the deck and find that you have drawn a face card.
Find the interval of convergence for the following series
Find the dimensions of the enclosure that is most economical to construct.
Given the same conditions in the initial question, how long will it take Per Capita GDP to double if the population grows at 2%?
Please solve for x, y & z using the process of elimination method (non matrix method)
Each of the numbers 0 through 24 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
Find all subgroups of cyclic group - Find all subgroups of C18, explaining your answer.
Probability and Statistics : Poisson Distributions and Standard Deviations, The number of violent crimes committed in a large city follows a Poisson distribution with an average rate of 10 per month.
Suppose that 646 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. Find the dimensions of the corral with maximum area (in terms of x and y)
Information about "Poisson Distribution". During cross country pipeline construction, day production rates of more than 120 girth welds are not unusual. On pipe laying barges operating around the clock,
A mini license plate for a toy car must consist number followed by two letters. Each letter must must be a C, A or R. Each number must be a 3 or 7 Repetition of letters is permitted. License plate sample space and probability
A particle passes through the point P = (6, 5, -2) at time t = 4, moving with constant velocity v = i - 3j + 6k. Find parametric equations for the motion of the particle.
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