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) = 20 + 70t-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 Avg. Rate 1 0.1 0.01 Estimate the instantaneous rate of change of R at time t, specifying the units of measurement. R'(5)= --Select---
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) = 20 + 70t-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 Avg. Rate 1 0.1 0.01 Estimate the instantaneous rate of change of R at time t, specifying the units of measurement. R'(5)= --Select---
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
Section3.4: Definition Of The Derivative
Problem 39E
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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.t
R(t) = 20 + 70t - 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
Avg. Rate
1
0.1
0.01
Estimate the instantaneous rate of change of R at time t, specifying the units of measurement.
R'(5) =
---Select--- ✓](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e4df10b-736d-4137-83ee-4d7795b0dffe%2F2223e17f-a356-45b9-9100-716fea7586d0%2F48r5vlp_processed.png&w=3840&q=75)
Transcribed Image Text: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.t
R(t) = 20 + 70t - 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
Avg. Rate
1
0.1
0.01
Estimate the instantaneous rate of change of R at time t, specifying the units of measurement.
R'(5) =
---Select--- ✓
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