If A is a non-empty subset of R, show that the set B = {a∈Ā : ∃ε>0 such that (a, a+ε) ∩ A =∅} is at most countable. (where Ā denotes the closure of A). This is for...

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Consider points P = (0, a), Q = (c, b) in the plane, with a, b, c all positive. Find a point R = (x, 0) so that the distance P R+QR is minimal. Justify that your answer is indeed a minimum.

TV Circuit has 30 large-screen televisions in a warehouse in Erie and 60 large-screen televisions in a warehouse in Pittsburgh. Thirty-five are needed in a store in Blairsville, and 40 are needed...

Write the polynomial equation if it has x - intercepts (-6,0) and (1,0) with a tangent at (1,0) and goes through the point (4,-30)

ACME company's expected sales can be modeled by g(t)=t^3-2t^2+4t-7, where g(t) is measured in thousands of dollars and t is the number of years after 2008.

I'm having trouble finding the missing sides and angles for the triangle. I know you have to use law of sines to find them, but I'm having trouble. Any help is greatly appreciated!   A=...