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A plane headed due east is traveling with an airspeed of 270 miles per hour. The wind currents are moving with constant speed in the direction 240°. If the ground speed of the plane is 135 miles per hour, what is its true course?
starting at 8 A.M. determine the number of times in the next 24 hours for which the hour and minute hands on a clock coincide?
A garden table and a bench cost combined. The garden table costs more than the bench. What is the cost of the bench?
Let f:R->R be a function that satisfies f(x+y) = f(x)+f(y) for all x,y in R. Suppose that f is continuous on R and that f(1)=k. Prove that f(x)=kx for all x in R.
Work out the amount of alcohol I would need to add to a 2:8 solution of chloroform with alcohol in a total volume of 50ml.
A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume. Assume cross section is square.
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Of the first 90 customers, 44 selected chicken, 23 selected roast beef, 13 select steak, and 10 selected fish. Should the manager revise his estimates? Use = 0.01.
Sketch the region bounded by the graph of the functions and find the area of the region.
G(x) = 3x^5 - 5x^4 What is the relative extreme point of g. Please explain why.
What type of annuity is a layaway plan?
laboratory designed a radio telescope with a diameter of 280 feet and a maximum depth of 40 feet. Find the equation of this parabola.
Use a triple integral and an appropriate change of coordinates to calculate the volume of the region bounded by the xy -plane, the surface z = x^2 + y^2 and the cylinder over x^2/9 + y^2/4 = 1 .
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