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An airplane is flying in the direction of 145 degrees with an airspeed of 550mph, and a 40 mph wind isblowing in the direction of 64 degrees. Approximate the ground speed and true course of the airplane.
Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 7 + 2x2 + 2y2 and the plane z = 13 in the first octant.
Micromedia offers computer training seminars on a variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting.
Consider the set of points (x, y, z) defined by the set of equations below: Find a 2 x 3 system of linear equations having this set of points as its solution set.
A car rental agency rents 210 cars per day at a rate of 31 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income..
The bill (parts and labor) for the repair of an automobile was $395. The cost for parts was $185. The cost of labor was $30 per hour. Let x represent the number of hours of labor. Write an equation that represents the total bill for the repair of ..
Air is pumped into a spherical balloon, so the balloon expands. The volume of a sphere of radius R is . If the radius of the sphere after t seconds is 2t centimeters, at what rate is air being pumped in when t=5?
Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).
How many seats should the airline sell in order to minimize their expected losses?
Calculate the ambiguity function of a signal with an envelope u(t) = Bexp(-t^2)T^2). What should be the value of B that will make the signal of the unit energy?
Hunter is at the top of a cliff getting ready to rappel. If Hunter is 1,418 feet above the ground, and he wants to complete his rappel down the cliff in m minutes, which expression can be used to find the rate in feet per minute at which he should..
The Speedmaster IV automobile gets an average 22 miles per gallon in the city. The standard deviation is 3 miles per gallon. Find the probability that on any given day, the automobile will get more than 26 miles per gallon when driven in the city.
Let the sum from n=m to infinity of a_n be a series of real numbers converging to x, and let k be an integer. Then the sum from n=m+k to infinity of a_n-k also converges to x.
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