Solve for x. 
What will be an ideal response?
1,000
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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 
Solve the problem.A ray of light is moving from air into glass. If its angle of incidence is 10°, find its angle of refraction. The indices of refraction of air and glass are 1.000293 and 1.571, respectively.
A. 15.82° B. 6.35° C. 13.92° D. 6.98°
Simplify the expression. Assume all variables represent positive real numbers.
A. 
B. 
C. 
D. 3
Change the mixed number to an improper fraction.12
A. 
B. 
C. 180
D. 27