The graph of a function is shown together with the tangent line at a point P. y 2 1 4. 3 6 Р 5 X 1 2 3 4 5 6 7 Estimate the derivative of f at the corresponding x-value. 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) 30t 212;t=3 Find the average rate 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.] (Round your answers to two decimal places.) h 1 0.1 0.01 Ave. rate × × × Estimate.the.instantaneous rate of change of R at time t, specifying the units of measurement. R'(3) S/day Enter an exact number. Need p Submit Answer Read it
The graph of a function is shown together with the tangent line at a point P. y 2 1 4. 3 6 Р 5 X 1 2 3 4 5 6 7 Estimate the derivative of f at the corresponding x-value. 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) 30t 212;t=3 Find the average rate 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.] (Round your answers to two decimal places.) h 1 0.1 0.01 Ave. rate × × × Estimate.the.instantaneous rate of change of R at time t, specifying the units of measurement. R'(3) S/day Enter an exact number. Need p Submit Answer Read it
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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Transcribed Image Text:The graph of a function is shown together with the tangent line at a point P.
y
2
1
4.
3
6
Р
5
X
1
2
3
4
5
6
7
Estimate the derivative of f at the corresponding x-value.
![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) 30t 212;t=3
Find the average rate 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.] (Round your answers to two decimal places.)
h
1
0.1
0.01
Ave. rate
×
×
×
Estimate.the.instantaneous rate of change of R at time t, specifying the units of measurement.
R'(3)
S/day
Enter an exact number.
Need p
Submit Answer
Read it](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb39c7dee-7c3f-4481-823f-1eba39ee6dcc%2Ff03f6ad8-8304-4f4c-a0f5-859e6323382b%2F16twitt_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.+
R(t) 30t 212;t=3
Find the average rate 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.] (Round your answers to two decimal places.)
h
1
0.1
0.01
Ave. rate
×
×
×
Estimate.the.instantaneous rate of change of R at time t, specifying the units of measurement.
R'(3)
S/day
Enter an exact number.
Need p
Submit Answer
Read it
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