A company makes cylindrical cans of radius r and height h at a cost of a cents per unit area for the top and bottom and b cents per unit area for the side. Express the cost of producing a can as a function of the two variables r, and h.Enter your answer in the form:  

Fill in the blank(s) with the appropriate word(s).


2?r(ar + bh)

Mathematics

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Solve the problem.The disk (x - 4)2 + y2 ? 1 is revolved about the y-axis to generate a torus. Find its volume. (Hint: ?, since it is the area of a semicircle of radius 1.)

A. 8?2 B. 2?2 C. 4?2 D. 4?

Mathematics

Solve the problem.For what values of m does the function y = aemx satisfy the equation y" - y' - 42y = 0?

A. m = 1, 42 B. m = -6, -7 C. m = -6, 7 D. m = 6, 7

Mathematics

Solve the equation by factoring.15x2 + 22x + 8 = 0

A.
B.
C.
D.

Mathematics

Solve the problem.Between x = 0 and x = 8, the largest value of the expression  occurs where . Of the values of x that satisfy , which gives the maximum value of ?

A. x = 7 B. x = 6 C. x = 2 D. x = 3

Mathematics