Questions from General Calculus

Q: Find an expression for a cubic function f if f(1

Find an expression for a cubic function f if f(1) = 6 and f(-1) = f(0) = f(2) = 0.

Q: Recent studies indicate that the average surface temperature of the earth has

Recent studies indicate that the average surface temperature of the earth has been rising steadily. Some scientists have modeled the temperature by the linear function T = 0.02t + 8.50, where T is tem...

Q: If the recommended adult dosage for a drug is D (in

If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation c = 0.0417D(a + 1). Suppose the dosage for an adu...

Q: Determine whether the curve is the graph of a function of x

Determine whether the curve is the graph of a function of x. If it is, state the domain and range of the function.

Q: The manager of a weekend flea market knows from past experience that

The manager of a weekend flea market knows from past experience that if he charges x dollars for a rental space at the market, then the number y of spaces he can rent is given by the equation y = 200...

Q: The relationship between the Fahrenheit (F) and Celsius (C

The relationship between the Fahrenheit (F) and Celsius (C) temperature scales is given by the linear function F = 9/5 C + 32. a. Sketch a graph of this function. b. What is the slope of the graph a...

Q: Jason leaves Detroit at 2:00 pm and drives at a

Jason leaves Detroit at 2:00 pm and drives at a constant speed west along I-94. He passes Ann Arbor, 40 mi from Detroit, at 2:50 pm. a. Express the distance traveled in terms of the time elapsed. b....

Q: Biologists have noticed that the chirping rate of crickets of a certain

Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minu...

Q: The manager of a furniture factory finds that it costs $2200

The manager of a furniture factory finds that it costs $2200 to manufacture 100 chairs in one day and $4800 to produce 300 chairs in one day. a. Express the cost as a function of the number of chairs...

Q: At the surface of the ocean, the water pressure is the

At the surface of the ocean, the water pressure is the same as the air pressure above the water, 15 lb/in2. Below the surface, the water pressure increases by 4.34 lb/in2 for every 10 ft of descent....