Simplify.cos(u + v) cos v + sin(u + v) sin v

A. cos u (1 + cos2 v)
B. sin v
C. cos u
D. cos v


Answer: C

Mathematics

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Find the indicated term of the sequence.The fifth term of the geometric sequence 2, 8, 32, . . .

A. 32 B. 512 C. 256 D. 2048

Mathematics

Solve the problem.Any offset between a stationary radar gun and a moving target creates a "cosine effect" that reduces the radar mileage reading by the cosine of the angle between the gun and the vehicle. That is, the radar speed reading is the product of the actual reading and the cosine of the angle. Find the radar reading to the nearest hundredth for the auto shown in the figure. 

A. 94.51 mph B. 97.97 mph C. 96.03 mph D. 21.82 mph

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The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds).s = 9 + 3 cos tFind the body's acceleration at time t = ?/3 sec.

A. -  m/sec2
B.  m/sec2
C. -  m/sec2
D.  m/sec2

Mathematics

Find the range of the function for the given domain.f(x) = x - 6Domain = {-2, -1, 0, 1, 2}

A. Range = {-8, -7, -5, -4} B. Range = {-8, -7, -6, -5, -4} C. Range = {4, 5, 6, 7, 8} D. Range = {4, 5, 7, 8}

Mathematics