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Best Rental charges a daily fee plus a mileage fee for renting its cars. Barney was charged $105 for 3 days and 300 miles, while Mary was charged $191 for 5 days and 600 miles. What does Best Rental charge per day and per mile?
Suppose that Phi (f) is an isomorphism. Is f then an isomorphism? Alternatively, suppose that Phi (G) and Phi (G')
For each of the following pairs of ordered bases B and B' for P(R), find the change of coordinate matrix that changes B'-coordinates into B-coordinates.
Can you use algebra to find a quadratic equation if you know the coordinates of just one point on its graph?
Let f: [a,b] ----> R and suppose f is integrable with respect to alpha. Prove that for any c in the real numbers, cf is integrable with respect to alpha and the integral from a to b of cf d(alpha) = c times integral from a to b of f d(alpha).
Find the y-coordinate of the point (3+h, ) if this point lies on the graph of the function F(x) = (3/x) - x the y-coordinate of the point is.
The marketing research department for a company that manufactures and sells "notebook" computers established the following price-demand and revenue functions.
A 104 inch long piece of wire is cut into two pieces, and two squares are formed. The sum of the areas of the two squares is 388 square inches. If the sides of the squares have integer lengths, what are the lengths of the sides of each square?
How many new books of each type should be published to maximize the annual profit while conforming to company policy?
A bacteria population starts with 400 bacteria and grows at a rate of r(t) bacteria per hour. How many bacteria n will there be after three hours? (Give your answer to the nearest bacterium.) r(t) = 450.266 e^(1.12567 t)
What is a binomial factor? In your own words, describe the process of factoring by grouping. Explain how the distributive property is used in this process. Give a detailed example of this process.
A particle's position is give by s = 3t^3 - t^2 + 2t. What is it's acceleration at t=2? This seemed too easy.
A dam with a vertical face has a gate that is in the shape of an isosceles triangle 3 ft wide at the top and 2 ft high. The upper edge of the gate is 10 ft below surface of the water. Find the total force on the gate due to water pressure. Water w..
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