The fuel efficiency of a car E(s), in miles per gallon, is a function of the speed of the car s, in miles per hour. Suppose that E(60) = 40 and E' (60) = –0.7. (a) What are the units of E'(s)? (b) Let C(s) be the fuel consumption, in gallons per mile, of the car when it is driving s miles per hour. Find a formula for C(s) in terms of E(s). Calculate C' (60).

Q: If a ball is thrown in the air with a velocity 48 ft/s, its height in feet t seconds later is given…

A:

Q: a.) A sphere shaped balloon is being inflated with a rate of 800 cm³ per minute. When the radius of…

A:

Q: 8 feet 9. As shown in the figure to the right, water is draining from the conical tank with height…

A: Given information: The height of the conical tank is 12 feet and the diameter is 8 feet. (a) To…

Q: 1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value…

A: To find out the average rate of change of function on the interval.

Q: The approximate rate of change in the number of design patent applications received in recent years…

A:

Q: A dam is being emptied. The amount of water remaining in the dam after t days is V = 81 (26 4t) 4…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: For a certain animal, the surface area S of the body is related to the body's weight W according to…

A:

Q: A 600 gallon tank is initially half full with pure water. A mixture containing a concentration of 1…

A: Let, the volume function be vt

Q: What is the instantaneous rate of change of the function f ( x ) = 5 /x  at x = 3 ?

A: Given,        The instantaneous rate of change of the function fx=5x at x=3.We know that,…

Q: The distance a biker has traveled after t seconds can be modeled by f(t) feet and f(50) = 64. f'(t)…

A: f'(t) > 0 imply function increase with time.  f"(t)< 0 imply function is concave downward