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: B
Mathematics
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Solve the problem.For what value of r does the infinite series 1 + 3r + 5r2 + 3r3 + r4 + 3r5 + 5r6 + 3r7 + r8 + ... converge?
A. |r| < 1
B. |r| < 
C. |r| < 4
D. |r| < 
Mathematics
Find a polar equation for the circle.x2 + (y - 9)2 = 81
A. r = 18 cos ? B. r = -18 sin ? C. r cos ? = -18 D. r = 18 sin ?
Mathematics
Evaluate the polynomial.8 - 
x, when x = 0
A. -8
B. 0
C. 8
D. - 
Mathematics
Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.4x2 + 16y2 = 64
A. x-axis B. y-axis C. origin D. x-axis, y-axis, origin E. none
Mathematics