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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.
A truck can be rented from Company A for $110 a day plus $0.50 per mile. Company B charges $50 a day plus $0.80 per mile to rent the same truck. How may miles must be driven in a day to make the rental cost for Company A a better deal than Company..
Find the number of units x that produce a maximum revinue R. Find the number of unites x that produce the minimum average cost per unit C.
During a chemical reaction,the temperature in the beaker decreased every minute by the same number of degrees. The temperature was 16°C at 11:08 A.M. By 11:43 A.M., the temperature had dropped to-17°C. By how many degrees did it drop each minute?
two minor league baseball players got a total of 390 hits. Washington had 2 more hits than sanchez find the number of hits for each player.
Find the volume of the smaller wedge cut from a sphere of radius 6 by two planes that intersect along a diameter at an angle of π/6.
Identify the scale which has no meaningful zero.
What is the annual compound interest rate for an investment modeled by the function y=12*1.18x?
Probability: Binomial approximation to normal distribution. In a large university, 30% of the incoming first-year students elect to enroll in a personal finance course offered by the university
thirty-five fourth-grade students were asked the traditional question what do you want to be when you grow up?nbsp the
There were 400 tickets available for a school play. 368 tickets were sold. What percent of the available tickets was not sold?
the national unemployment rate in a recent month was 4.9 percent. you think the rate may be different in your city so
Health Canada reported that the duration of human pregnancies can be described by a normal model with mean 266 days and standard deviation 16 days.
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