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Consider the region R = {(x, y) ∈ R^2| 0 ≤ x ≤ 1 and 0 ≤ y ≤ e^2x}.
(a) Draw R and calculate the volume of revolution obtained by rotating region R about the y-axis.
(b) Rotate region R about the line y = -1 and find the volume of the resulting solid.
Find the steady-state distribution of the number of machines not working. (c) What is the expected number of operators available for copying?
Discuss the limitations and assumptions of your analysis. Is there any additional information that you would like to have before publishing your findings?
in a certain town 41.5 of the voters are democrats and 58.5 of the voters are republicans. in the last election 38.4 of
Find the unit tangent vector T(t) at the instant t = 1. Find the unit binormal vector B(t) at the instant t = 1. Find the unit normal vector N(t) at the instant t = 1.
Find the speed of the bird as a function of time. How far does the bird travel between times t = 0 and t = 3? Find the curvature of the bird's trajectory as a function of t.
A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the bo..
A worker with a score of 9.0 or less is considered very unhappy with his/her job. Approximately how many workers are very unhappy with their jobs?
What are the properties of natural logarithm? What is an easy way to remember te properties
Develop the training objective for this program based on an analysis of the business.
A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip backtook 70 hours. What is the speed of the boat in still water? What is the speed of the current?
a bank gives you a loan of 1000 now. You have to make a payment of 500 after 9 months and a payment of 600 after 12 months. What is effective annual interest rate?(set up equation for B(beta)
Find the points of inflection of the graph of the function. (If an answer does not exist, enter DNE.) f(x) = 8 sin x + 8 cos x, [0,2π]. Describe the concavity.
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