Evaluate the surface integral of G over the surface S.S is the plane x + y + z = 4 above the rectangle 0 ? x? 1 and 0 ? y ? 3; G(x,y,z) = 2z
A. 12
B. -18
C. 30
D. 18
Answer: A
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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 dv/dt = -g - av, 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. Write an equation in
terms of v0, g, and a for T, the time when the ball hits the ground.
A. -gT + 
ln 
= 0
B. -gT + 
(1 - e-aT) = 0
C. -aT + 
(1 - e-aT) = 0
D. -gT + 
(1 - e-aT) = 0
Solve the problem.Find the gasoline price index for 1975 using the 1955 price as the reference value.Use the table below. ?
A. 194.8 B. 19.5 C. 175.3 D. 51.3
Change 919 to powers of ten form with an exponent of:
a. -1 b. -4 c. -2
Find the first year's depreciation, using the double-declining-balance method. Round to the nearest dollar.Cost: $1,550Est. life: 20 yearsEst. scrap: $155
A. $70 B. $140 C. $155 D. $78