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The position function of a car moving along a mountain road is given by the function f(t) = t3 - 2t2 + 4 kilometers, where t is in hours. What is the instantaneous velocity of the car at t = 2 hours?
Parke-Davis data: A group of 100 people were in a study involved treatment with Lipitor. Unbeknownst to the subjects, some of them were given Liptor and some were given placebo (sugar pill) as shown in the table.
ramos buys some pens and pencils. He buys seven more pens than pencils. Pencils cost $0.45 cents each and pencils cost $0.40 each. If he has $10 to spend, what is the greatest number of each he can buy?
A farmer wants to enclose a rectangular grazing area using an existing fence on one side and 244 feet of new fencing on three sides. If the length of the rectangle is supposed to be twice as long as it is wide, what are the dimensions of the enclo..
A skater spins at a rate of 50 rpm with her arms extended. When she draws her arms in the radius of gyration (k) is 0.6 of the original k. What is the maximum angular velocity she could attain if angular momentum is conserved? Express answer in ra..
Find an example online of a graph used in real life. Please provide the link to the web page by using the link button in the editor. Describe at least one mathematical feature of the graph
Let F be a finite field. Prove that F[x] contains infinitely many primes. (note that over an infinite field the polynomials of degree 1 are an infinite set of primes in the ring of polynomials).
Find the general homogeneous solution
Suppose that 8 female and 7 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 15 finalists, what is the probability of selecting
It is 3 feet high, and the diameter of its circular base is 2 feet. Which expression could be used to find the volume of the drum?
The manufacturer can produce the lamps at a cost of $4 per lamp. At what price should the manufacturer sell the lamp to generate the greatest possible profit?
He has invented a counter for his bike which counts the number of revolutions the wheels make
A rancher has 1200 ft of fencing to enclose two adjacent rectangular regions of equal areas. express the area A of the two rectangles as a function of the width x.
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