(d) Suppose that the satifaction received from a number of rides taken on a roller coaster200 (2*1)'2х+1Зx+40.5is given by the function S(x)where S is the satisfactionreceived and x is the number of rides taken.(i) Find the rate at which the satisfaction changes with respect to thenumber of rides taken.

Satisfaction received from a number of rides on a roller coaster is given by,

Answered: (d) Suppose that the satifaction…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

See similar textbooks

Similar questions

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Let g(x) = square root of x +3. Compute the instantaneous rate of change of g (x) at x = 4.
A tank initially contains 100 L of a well-mixed water-and-salt solution, with salt concentration of 20 kg in the solution. If the solution is exiting from the tank at a constant rate of 2 L per minute, what is the concentration of the salt (kilograms) in the solution at the point when the tank now only contains 50 L of the solution? Express your answers accurate to four decimal places.
The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is con-tinuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. a. If t represents time in years and y represents tooth size, use the condition that y = 0.99y0 when t = 1000 to find the value of k in the equation y = y0 ekt. Then use this value of k to answer the following questions. b. In about how many years will human teeth be 90% of their present size? c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?
A tank with a capacity of 25 L originally contains 15 L of brine with a concentration of 5 g/L of salt. Water containing 1 g/L of salt is entering at a rate of 5 L/min, and the mixture is allowed to flow out of the tank at a rate of 4 L/min. Find the concentration (in g/L) of salt in the tank when it is on the point of overflowing.
Compute the second derivative of f(x)=ex+x at x = 1 using a step size h = 0.2
Find the average rate of change for the function over the given interval y=-3x-x between x=5 and x=6
A particle moves on the line y = 2x + 1 in such a way that its x−coordinate changes at a constant rate of 4 units per second. A right triangle is formed by the vertical line from the particle to the x−axis, the line connecting the particle to the origin, and the x−axis. At what rate is the area of the right triangle changing when x = 4?
Find the average rate of change of the function f ( x ) = 1 x2 − 4 x + 4 , on the interval x ∈ [2,4].
Estimate the instantaneous rate of change of the function f(x)=−x2+4x−4 at x=1 using the average rate of change over successively smaller intervals.
Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional to the amount that is unconverted at any time. If 75 kg at time t = 0, 8 kg are converted during the first 30 minutes, find the amount converted in 2 hours.
A ladder 5 meters long is leaning against a vertical wall. Due to the smooth floor, the foot of the ladder is sliding away from the wall. Let x be the horizontal distance of the foot of the ladder from the wall and y be the height of the top of the ladder from the floor. Determine when will the rate of change of y with respect to x be numerically equal to the negative of the current value of x?

SEE MORE QUESTIONS

Recommended textbooks for you

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS