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An airplane is flying at an altitude of 8.4 miles towards a point directly over an observer. If the speed of the plane is 521 miles per hour, find the rate at which the angle of observation,θ,changing by at the moment when the angle is 27 degrees
the selling price s(c) after 45% markup of an item as a function of the stores' cost c.
Find the Fourier series expansions of f(x) = Co + C1x^2 with respect to the following two orthonormal bases on the interval [0,L] (L>0)
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
Write an expression for the position function, x(t), of the particle at any time t, 0
Let E be an open and convex subset of R^n and let f in C^1(E). Show that f satisfies the Lipschitz condition on E if and only if its derivative Df is bounded on E, that is, there exists a constant M => 0 such that the norm of
A manufacture has been selling 1300 television sets a week at 420 each. A market survey indicates that for each 16 rebate offered to a buyer, the number of sets sold will increase by 160 per week.
Use polar coordinates to find the volume of the given solid.
The function f is graphed below on the interval [0,10].Give the number of valuesc between 0 and 10 which satisfy the conclusion of the mean value theorem for f.
Calculating the probability from a given situation using combinations. A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random.
What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters
Calculate probability values.
A poll of 52 students found that 50% were in favor of raising tution to build a new math building. The standard deviation of this poll is 8%. What would be the standard deviation if the sample size were increased from 52 to 116?
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