Simplify the expression by using a sum or difference identity.sin(12m) cos (2m) - cos(12m) sin (2m)
A. cos(14m)
B. sin(10m)
C. cos(10m)
D. sin(14m)
Answer: B
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Complete the equation so the result is an identity. 1 - 
= sin2x
A. cos2x B. cot2x C. sec2x D. tan2x
Evaluate the improper integral.
A. -7 B. 7 C. -49 D. 49
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. 
= 
Solve the problem.The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 34 feet and the height of the arch over the center of the roadway is 14 feet. Two trucks plan to use this road. They are both 8 feet wide. Truck 1 has an overall height of 
and Truck 2 has an overall height of 
. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.
A. Truck 2 can pass under the bridge, but Truck 1 cannot. B. Both Truck 1 and Truck 2 can pass under the bridge. C. Truck 1 can pass under the bridge, but Truck 2 cannot. D. Neither Truck 1 nor Truck 2 can pass under the bridge.