Evaluate the expression for the given values of the variables, if possible.x3 - (10 + x
) + 20 - 19, for x = 5, y = 25
A. 70
B. 110
C. 118
D. 114
Answer: B
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Solve the problem.The following table shows the rate of water flow (in gal/min) from a stream into a pond during a 30-minute period after a thunderstorm. Use Simpson's Rule to estimate the total amount of water flowing into the pond during this period. Round your answer to the nearest gallon.
A. 8475 gal B. 8483 gal C. 9725 gal D. 7717 gal
Graph the region described by the inequality.-3x - 5y ? 15
A. 
B. 
C. 
D. 
Solve the problem.A long strip of sheet metal 12 inches wide is to be made into a small trough by turning up two sides at right angles to the base. If the trough is to have maximum capacity, how many inches should be turned up on each side?
A. 6 in. B. 3 in. C. 4 in. D. 4 in. on one side, 5 in. on the other
If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the velocity vector.r(t) = (cot t)i + (csc t)j
A. v = (-sec2 t)i - (tan t sec t)j B. v = (-csc2 t)i - (cot t csc t)j C. v = (sec2 t)i + (tan t sec t)j D. v = (csc2 t)i + (cot t csc t)j