Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.† R(t) = 60 + 90t − t2; t = 5 Find the average rates of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates.) h 1 0.1 0.01 Avg. Rate Estimate the instantaneous rate of change of R at time t, specifying the units of measurement. R'(5) =
Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.† R(t) = 60 + 90t − t2; t = 5 Find the average rates of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates.) h 1 0.1 0.01 Avg. Rate Estimate the instantaneous rate of change of R at time t, specifying the units of measurement. R'(5) =
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.†
R(t) = 60 + 90t − t2; t = 5
Find the average rates of change of
R(t)
over the time intervals
[t, t + h],
where t is as indicated and
h = 1,
0.1, and 0.01 days. (Use smaller values of h to check your estimates.) | h | 1 | 0.1 | 0.01 |
|---|---|---|---|
| Avg. Rate |
Estimate the instantaneous rate of change of R at time t, specifying the units of measurement.
R'(5) =
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