Find the potential function f for the field F.F = sec2 x sin2 yi + 2 tan x sin y cos yj + 7z6k
A. f(x, y, z) = -sec x sin2 y + z7 + C
B. f(x, y, z) = sec x sin2 y + z7 + C
C. f(x, y, z) = sec x sin2 y + z + C
D. f(x, y, z) = tan x sin2 y + z7 + C
Answer: D
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Simplify the expression. Assume that variables represent nonzero numbers.(w3z)3(w5z4)
A. w45z12 B. w14z7 C. w11z7 D. w8z7
Solve.Two swimmers are swimming in opposite directions. One is swimming at a speed of 2 m/sec. and the other is swimming at a speed of 2
m/sec. If we begin a stopwatch at the time that they pass each other, then how long will it take them to get 47 m apart?
A. 20
sec.
B. 11
sec.
C. 10
sec.
D. 9
sec.
Solve the problem.Given that the polar equation r = a(1 - e2)/(1 + e cos ?) models the orbits of the planets, estimate the smallest possible distance between Earth, for which 
and 
and Venus, for which 
and 
A. Zero astronomical units B. About 0.2 astronomical units C. About 0.4 astronomical units D. About 2 astronomical units
Solve by the elimination method:
10x + 39y = 16
15x + 39y = 18
