Find the exact value by using a half-angle identity.tan 165°
A. 2 - 
B. -2 + 
C. -2 - 
D. 2 + 
Answer: B
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Solve.The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. Suppose the the intensity is 8000 units at a distance of 2 miles. What will the intensity be at a distance of 12 miles? Round your answer to the nearest unit.
A. 222 units B. 205 units C. 186 units D. 248 units
Solve the problem.Ron throws a ball straight up with an initial speed of 70 feet per second from a height of 5 feet. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximum height? What is the maximum height of the ball?
A. x = 0, y = -16t2 + 70t + 5 4.445 sec, 2.188 sec, 81.563 feet B. x = 0, y = -16t2 + 70t + 5 8.605 sec, 2.188 sec, 597.255 feet C. x = 0, y = -16t2 + 70t + 5 8.891 sec, 2.188 sec, 76.563 feet D. x = 0, y = -16t2 + 70t + 5 4.302 sec, 2.188 sec, 5.025 feet
Match the given function to its graph.1) y = sin (x - 
)2) y = cos (x + 
)3) y = sin (x + 
)4) y = cos (x - 
)A B
/>C D
A. 1A, 2D, 3C, 4B
B. 1B, 2D, 3C, 4A
C. 1C, 2A, 3B, 4D
D. 1A, 2B, 3C, 4D
Find the integrating factor, the general solution, and the particular solution satisfying the given initial condition.y' + 8y = 2e-5x; y(0) = 2
A. I(x) = e8x; y = 
e-5x + Ce-8x; y = 
e-5x + 
e-8x
B. I(x) = e2x; y = - 
e-3x + Ce-2x; y = - 
e-3x + 
e-2x
C. I(x) = e2x; y = - 
e-3x + Ce-2x; y = - 
e3x + 
e2x
D. I(x) = e8x; y = 
e-5x + Ce-8x; y = 
e5x + 
e8x