Solve the problem.A mechanic is testing the cooling system of a boat engine. He measures the engine's temperature over time. Use a graphing utility to fit a logistic function to the data. What is the carrying capacity of the cooling system?
A. y = , 312°F
B. y = , 315°F
C. y = , 315°F
D. y = , 307°F
Answer: C
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Solve the problem.Find the volume of the solid generated by revolving the region in the first quadrant bounded by the x-axis and the curve y = sin 2x, 0 ? x ? ?/2 about the line x = ?/2.
A.
B. ?2 - ?
C. ?
D. ?2
Solve the problem.The formula P = 0.35x - 73 models the profit, P, in dollars, for a shoe shiner when he shines x pairs of shoes. Use the formula to find this shoe shiner's profit when he shines 600 pairs of shoes.
A. $137 B. -$69.50 C. $210 D. $527
Find the formula for the function.Express the volume of a sphere as a function of its radius r.
A. V = ?r2
B. V = ?r3
C. V = ?r3
D. V = ?r3
Solve.One rope pulls a barge directly east with a force of 50 N, and another rope pulls the barge directly north with a force of 59 N. Find the magnitude of the resultant force acting on the barge. Round to the nearest N.
A. 109 N B. 9 N C. 77 N D. 3000 N