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the temp. of a liquid at a chemical plant during a twenty minute period is f(t)=90-4tan(t/20) where f(t) is degrees Fahrenheit and 0<=t<=20, t is measured in minutes.
at what value of t is the temperature changing the fastest?
Solve the following word problem, you will need to know that a cylinder of radius r and height h has volume V = Pi r^2 h. Also, a circle of radius r has area A = Pi r^2 and circumference C = 2 Pi r.
Suppose that 8 female and 7 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 15 finalists, what is the probability of selecting
Please solve the following initial value problem: We solve the initial value problem using separation of variables. We use partial fractions to solve for the integral of 1/(x^2-4).
What is a probability that 2 females and 1 male will be in a group? What is a probability of 3 females only?
Cubic Splines: Natural and Clamped, Calculate the natural cubic spline f(x) for the following data and then determine 1(1.5). (Use 3 significant digits.)
A boxing ring is in the shape of a square, 20 ft on each side. How far apart are the fighters when they are in opposite corners of the ring?
Summation and proof using mathematical Induction - Provide a careful and complete proof by induction.
Programmers need to solve systems of equations, which often come up during the design of the games. As an example, suppose in a video game two persons (or objects) are traveling along linear paths
Another client, Wynona, decides that she will invest $5,000 per year in a 5% annuity for the first ten years, then $6,000 for the next ten years, and then $4,000 per year for the last ten years, how much will she accumulate?
Determine the stable and unstable manifolds for the rest point of the system.
Identify the vertex, intercepts and zeros of a function.
Assuming that there is no cost to enter the .sweepstakes, find the expected value of the amount won for one entry. Round to the nearest tenth.
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