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A rod occupying the interval 0<=x<=l is subject to the heat sourcef(x) = 0, for 0 < x < l/2f(x)= H > 0, for l/2 < x < l.
The rod satisfies the heat equation Ut = Uxx + f(x) and its ends are kept at zero temperature. Find the steady-state temperature.
Use your simulation results to determine the probability of obtaining a defective phone for each simulation if an outcome of 1 or 2 is considered to be a defective phone, showing all work.
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
Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k
How can you compute the union and intersectio of two sets, using some of the methods that the set interfce provides? hint: your code should not be bigger than four lines
Interpret the results and draw onclusions that address the question posed in the case problem. What are the limits of the study? Write at least one paragraph.
calculate the following future value:
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities?
Find the polynomial of degree five whose graph goes through the points (0,5), (1,-1), (2,5) and whose slope at x=0 is -1, at x=1 is -2, and at x=2 is 3.
A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1. Determine the other x-intercept
The derivative from the rate of changes
It takes 16 minutes to set up a candy making machine. Once the machine is set up, it produces 30 candies per minute. Use an inequality to find the number of candies that can be produced in 5 hours if the machine has not yet been set up.
Construct examples showing that every possible connectivity number occurs (for graphs regular of degree 3):(Kappa) = 0, 1, 2, 3. Kappa = connectivity
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