Solve the problem.Let y = -9x + 221 represent the number of students present in a large class, where x represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect to the number of hours of study?
A. -221 students per hour of study time
B. 221 students per hour of study time
C. 9 students per hour of study time
D. -9 students per hour of study time
Answer: D
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Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x.
f2(x) ? g(x), x = 3
A. 131 B. 48 C. 259 D. 35
Provide an appropriate response.To insure uniform viscosity and strength, the factory that makes hot sauce pumps two batches of the sauce into a single tank. They set the opening of the pipe from one batch so that it will fill the tank in 30 minutes. They set the opening of the pipe from the second batch so that it will fill the tank in 15 minutes. Write an equation and solve to find how long it will take to fill the tank when both pipes are used.
Fill in the blank(s) with the appropriate word(s).
Match the polynomial with its binomial factors.x2 - 8x - 33
A. (x - 3)(x + 1) B. (x - 3)(x + 11) C. (x - 3)(x - 1) D. (x + 3)(x - 11)
Solve the problem.The area A(r) = ?r2 of a circular oil spill changes with the radius. At what rate does the area change with respect to the radius when 
A. 20 ft2/ft B. 20? ft2/ft C. 100? ft2/ft D. 10? ft2/ft