Find parametric equations for the line described below.The line through the point P(-5, 2, 3) parallel to the vector 
A. x = -8t + 5, y =6t - 2, z = -3t - 3
B. x = 8t + 5, y = 6t - 2, z = -3t - 3
C. x = -8t - 5, y = 6t + 2, z = -3t + 3
D. x = 8t - 5, y = 6t + 2, z = -3t + 3
Answer: C
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Find T, N, and B for the given space curve.r(t) = (t2 - 9)i + (2t - 1)j + 5k
A. T = 
i - 
j; N = - 
i - 
j; B = -k
B. T = 
i + 
j; N = 
i - 
j; B = k
C. T = 
i + 
j; N = 
i - 
j; B = -k
D. T = 
i + 
j; N = 
i - 
j; B = -k
Solve the problem.A tank initially contains 140 gal of brine in which 40 lb of salt are dissolved. A brine containing 1 lb/gal of salt runs into the tank at the rate of 6 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 10 gal/min. Write, in standard form, the differential equation that models the mixing process.
A. 
= 6 - 
y
B. 
+ 
y = 10
C. 
+ 
y = 6
D. 
+ 
y = 6
Evaluate the expression.-73
A. 21 B. -21 C. -343 D. 343
Solve the problem.It costs $27 per hour plus a flat fee of $20 for a plumber to make a house call. After writing an equation for this situation, suppose the total cost to have a plumber come to a house is $290. How many hours did the plumber work?
A. 6 hr B. 10 hr C. 17 hr D. 21 hr