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) = 80 + 50t − 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.) HINT [See Example 1.] 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) = (____________)($/oz, $/say, $/item, $/yr)
Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.† R(t) = 80 + 50t − t2; t = 5 Find the average rates of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates.) HINT [See Example 1.] h 1 0.1 0.01 Avg. Rate Estimate the instantaneous rate of change of R at time t, specifying the units of measurement. R'(5) = (____________)($/oz, $/say, $/item, $/yr)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
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Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.†
R(t) = 80 + 50t − t2; t = 5
Find the average rates of change of
R(t)
over the time intervals
[t, t + h],
where t is as indicated and
h = 1,
0.1, and 0.01 days. (Use smaller values of h to check your estimates.) HINT [See Example 1.]| h | 1 | 0.1 | 0.01 |
|---|---|---|---|
| Avg. Rate |
Estimate the instantaneous rate of change of R at time t, specifying the units of measurement.
R'(5) = (____________)($/oz, $/say, $/item, $/yr)
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