cos 52°

A. 0.71
B. -0.16
C. -0.07
D. 0.62


Answer: D

Mathematics

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Solve the problem.The differential equation for a falling body near the earth's surface with air resistance proportional to the velocity v is  where g = 32 feet per second per second is the acceleration due to gravity and a > 0 is the drag coefficient. This equation can be solved to obtain  v(t) = (v0 - v?)e-at + v?, where v0 = v(0) and v? = -g/a = v(t), the terminal velocity.This equation, in turn, can be solved to obtain  y(t) = y0 + tv? + (1/a)(v0 - v?)(1 - e-at) where y(t) denotes the altitude at time t. Suppose that a ball is thrown straight

up from ground level with an initial velocity v0  and drag coefficient a. Find an expression in terms of v0, g, and a for the time at which the ball reaches its maximum height.

A. t =  ln  
B. t =  ln  
C. t =  ln  
D. t =  ln  

Mathematics

Write the percent as a fraction in the lowest terms.%

A.
B.
C.
D.

Mathematics

Graph the inequality.2x + 4y ? -8

A.

B.

C.

D.

Mathematics

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Mathematics