Evaluate the integral.
dx
A. - 
cot2 x - 
ln 
+ C
B. 
cot4 x sec x + C
C. 
cot4 x + C
D. 
cot2 x + ln 
+ C
Answer: A
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for the volume of the region in the first octant enclosed by the cylinder 
and the plane 
.
A. 
B. 
C. 
D. 
Solve the problem.Maxwell's theory of electromagnetic waves established that electromagnetism moved through space in waves. Under certain conditions, an equation that Maxwell used to explain the motion of such waves would take the form 
where ? is the angle of incidence of the original wave, ? is the angle of incidence of the wave when reflected, A is the amplitude of the original wave, and B is the amplitude of the wave when reflected. Express 
in terms of sin ?, cos ?, sin ?, and cos ?.
A. 
B. 
C. 
D. 
Find two different Hamilton paths for the given graph.
A. F ? G ? H ? I ? E ? D ? C ? B ? A ; C ? B ? A ? D ? E ? I ? H ? F ? G B. G ? H ? I ? E ? D ? A ? B ? C ; F ? F ? I ? E ? D ? C ? B ? A C. D ? A ? B ? C ? D ? E ? I ? H ? G ? F ; H ? G ? F ? H ? I ? E ? D ? A ? B ? C D. The graph does not have two different Hamilton paths.
Evaluate the function f at the indicated value.
{9x + 1, if x < 22x, if 2 ? x ? 42 - 8x, if x > 4
A. -4 B. 18 C. 19 D. -17