Consider the function as representing the value of an ounce of palladium in US dollars as a function of the time t in days. R(t)=60+50t-t^2;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. Average rate: 1, __ 0.1, __ 0.01, __ Estimate the instantaneous rate of change of R at time t. R’(5)=
Consider the function as representing the value of an ounce of palladium in US dollars as a function of the time t in days. R(t)=60+50t-t^2;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. Average rate: 1, __ 0.1, __ 0.01, __ Estimate the instantaneous rate of change of R at time t. R’(5)=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function as representing the value of an ounce of palladium in US dollars as a function of the time t in days.
R(t)=60+50t-t^2;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.
Average rate:
1, __
0.1, __
0.01, __
Estimate the instantaneous rate of change of R at time t.
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.t
R(t) = 60 + 50t - ; t= 5
Find the average rates of change of R(t) over the time intervals [t,t+h], wheret is as indicated and h = 1, 0o.1, and 0.01 days. (Use smaller values of h to check your estimates.) HINT (See Example 1.]
1
0.1
0.01
Avg. Rate
Estimate the instantaneous rate of change of R at time t, specifying the units of measurement.
Şiday
R'(5) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68cc5e62-1f1e-447e-86e2-72966307f0c4%2F6145ba67-bdc9-4668-80f9-4a7126a5e4bd%2Fr2zsgk9_processed.jpeg&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) = 60 + 50t - ; t= 5
Find the average rates of change of R(t) over the time intervals [t,t+h], wheret is as indicated and h = 1, 0o.1, and 0.01 days. (Use smaller values of h to check your estimates.) HINT (See Example 1.]
1
0.1
0.01
Avg. Rate
Estimate the instantaneous rate of change of R at time t, specifying the units of measurement.
Şiday
R'(5) =
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