Solve the problem.A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-fifth as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame.
A. =
B. =
C. =
D. =
Answer: A
Mathematics
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Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).y = u2, u = 2x - 4
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Factor when possible.-w2 + 7w - 10
A. -(w + 2)(w + 5) B. -(w - 2)(w - 5) C. (-w + 2)(w + 5) D. Prime
Mathematics
Solve.The product of 5 and a number equals 55. Find the number.
A. 11 B. 12 C. 275 D. 50
Mathematics
Determine the function which corresponds to the given graph.The asymptote is x = -3
A. y = log(3 - x) B. y = log(x + 3) C. y = -log(x + 3) D. y = -log(x - 3)
Mathematics