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Consider the population model dP/dt=.3(1-P/200)(P/50-1)where P(t) is the population at time t. For what values of P is the population in equilibrium?
A solid with a base formed by intersecting sine and cosine curves and built up with semi-circular cross-sections perpendicular to the x-axis. Find the area of the base and the volume of the solid.
Find and prove a formula for the derivative of the hyperbolic secant function,
Helium is pumped into a spherical balloon at a constant rate of 2 cubic feet per second. How fast is the radius increasing after 3 minutes? At what time (if any) is the radius increasing at a rate of 120 feet per second?
Find the center of mass of a thin plate of constant density d covering the "triangular" region in the first quadrant between the circle x^2+y^2=12.25 and the lines x=3.5 and y=3.5.
To determine the dimensions of a rectangular container and evaluate the derivative of the given equation.
Test to see if population means are the same or different
Solve the problem of Critical Path and PERT. A PERT project has 45 activities, 19 of which are on the critical path. The estimated time for the critical path is 120 days. The sum of all activity variances is 64, while the sum of variances along the..
Finding the density of y and then finding the expectation and (b) using theorem A
Calculate the smallest sample size required to estimate the population mean under the following specifications:
When the ticket price is 7 dollars the average attendance is 45000. When the price is dropped to 5 dollars then the average attendance rises to 50000. Find the demand function and how should the ticket price be set to maximize revenue?
Let H be a random variable with probability p1 that has a Geometric distribution G1 Let Y be a random variable with probability p2 that has a Geometric distribution G2
how much energy is needed to increase the temperature of 755 g of iron from 283 k to 403 k.
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