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The owner of a garden supply store wants to construct a fence to enclose a rectangular outdoor storage area adjacent to the store, using part of the side of the store (which is 230 feet long) for part of one of the sides. There are 420 feet of fencing available to complete the job. Find the length of the sides parallel to the store and perpendicular that will maximize the total area of the outdoor enclosure.
The average molecular velocity v (m/s) of a gas in a certain container is given by the formula below, where T is the temperature in kelvins. The temperature is related to the pressure (in atmospheres) by T = 400P. Find the indicated derivative. v=..
Statistical Testing for an Out-of-Control Process, A statistical process analyst is responsible for assuring statistical control. In one process, a machine is supposed to drop 11.4 ounces of mints into a bag.
Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on ..
Natalie spends 90 minutes doing her math and English homework. The time she spends on her math homework is a function of the time she spends on her English homework.
A baseball team plays in a stadium that holds 59000 spectators. With ticket prices at $10, the average attendance had been 5000. When ticket prices were lowered to $8, the average attendance rose to 15000.
He is standing at the edge of a rose garden 9.00 meters below her window and 11.0 m from the base of the wall. How fast are the pebbles going when they hit her window?
Show that the nonlinear differential equation is exact. Find an implicit solution of the initial value problem.
An AE student named Seoung devises a coded system of arithmetic for keeping his financial information private. His coded system of arithmetic is identical to the usual one except that each digit 0 to 9 has a value different than from standard arit..
a ladder 13 feet long is leaning against the side of a building.if the foot of the ladder is pulled away from the building at the rate of 0.1foot per second how fast the angle formed by the ladder and the ground changing at the instant ,solution.
How many gallons were consumed by each of the two cars that week.
Calculate probability values.
Suppose that at a certain instant the volume is 550 cubic cm, the pressure is 80 kPa, and the pressure is increasing at a rate of 100 kPa per min. At what rate is the volume decreasing at this instant?
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