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Let R be the region bounded by the curves y = √(x)*e-x, y = 0, and x = 2. Find the volume of the solid obtained by revolving R about the x-axis.
Discuss your ideas for how security in a courthouse or justice center needs to be managed when proceedings are going on not only in courtrooms but also in other areas of the facilities, such as vacant jury rooms, attorney conference rooms, benches..
A function f is continuous on interval [1,3]. A horizontal line is drawn somewhere between the lines y=f(1) and y=f(3). According to the intermediate value theorem, how many times is such a line guaranteed to intersect the graph of f(x)?
Write an equation for the total amount of gold in the mixture. Use s to represent the amount of silver added.
If the company's revenue from the sale of the shoes in 2006 was $3.0 million, what was the approximate revenue from the sale of the shoes in 2005?
We know that the space R2 is two-dimensional. Consider a vector v = (-3, 4). Find the vector projection of v onto a and b respectively, denote them by projav, and projbv.
Is the household better off or worse off with the higher interest rate?
When is the stock increasing in price? At what rate is the stock increasing at the beginning of the 3rd week? At what rate is the stock increasing at the beginning of the 10th week?
Solve each system of equations to the nearest 0.001 for each variable by using a calculator.
Most credit cards require that you pay a minimum monthly payment of two percent of the balance. Based upon a balance of $5,270.00, what would be the minimum monthly payment
Let pie be the plane through q(2,0,0) with normal (1,-1,1) . Find the distance between this plane and the point p(1,0,2)
Devise an algorithm using the concept of interior vertices in a path to find the length of the shortest path between two vertices in a directed graph, if such a path exists.
Find the slope of the tangent line to the graph of f at x = 4, given that f(x) = -x2 + 4sqrt(x)
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