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Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-2, 2) and the second going from (-2, 2) to (-4, 0).Computer the line integral of (-2dy -2dx)
T est to see if the mean of the population is at least twelve ounces.
Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened.
Estimating the value of a function using 3rd Taylor polynomial and use our error guarantee to give a Plus- or-minus error to your estimate
Sampling distribution of sample mean- key informaiton. What is the probability that the sample mean will be between 28 and 46?
With a yearly inflation rate of 7%, prices are given by P=p(1.05)^t, where p is the price in dollars when t=0 and t is the time in years. Suppose p=1. How fast (in cents/ year) are prices rising when t=12?
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 46.5ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000
Express logarithm into exponential form and solve logarithmic equation and solve the log 4 2 = 1/2 in exponential form.
Applications of the law of Cosines - Evaluate the side of a regular dodecagon that is inscribed in a circle with radius 4 cm.
The region bound by the circle (x-a)^2 + y^2 = a^2 is revolved around about the y-axis to generate a solid
Let S be a subset of a set X. Let R be the ring of real-valued functions on X, and let I be the set of real-valued functions on X whose restriction to S is zero.
Poisson Kernel and Harmonic Function, Let P_r(t)=R((1+z)/(1-z)), z=re^it be the Poisson kernel for the unit disc |z|
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