Write the following as a system of equations.Maximize 
subject to
What will be an ideal response?
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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 proportion.
= 
A. y = 6
B. y = -6
C. y = 0
D. y = 
Find the volume.A hemisphere with radius 2.0 ft. Use 3.14 for ?. Round your answer to the nearest thousandth.
A. 133.973 ft3 B. 16.747 ft3 C. 9.42 ft3 D. 8.373 ft3
Find the product.10x7(2x7 - 12x2 + 8)
A. 20x14 - 12x2 + 8 B. 20x14 - 120x9 + 80x7 C. 20x14 - 120x9 D. 20x7 - 120x2 + 80