Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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I have tried this for so long, please help
![control
I
option
H
command
Math 160
Interval
Average ROC
from the left
Interval
[1068] Average ROC
from the right
B
[5,6]
N
Average rate of change = slope of secant line over the same interval.
Instantaneous rate of change slope of tangent line at a point.
16-
The Derivative
[6,7]
M
Use the given continuous function to find the exact ROC
Answer the following questions using this function that represents the temperature over
the interval [4, 10]
T(t) ==
(t-10)² + 105
to find the exact value of the instantaneous rate of change at t = 6.
9. Find the average rate of change for each interval given in the chart. Use the table
function on your calculator to aid in your calculations. 69 101 DORA on b
[5.5,6]
V.
75
H
[6,6.5]
command
(9.8)
I
option
?
1
Worksheet
[5.9,6]
[6.6.1]
[5.99, 6]
[6,6.01]
10. Using the information from the charts above, what number does the AROC seem to be
approaching as the intervals get smaller? (Hint: Look at the last values in both charts.)
What is the instantaneous rate of change at t = 6?
shift](https://content.bartleby.com/qna-images/question/faa3be14-7f82-4920-95bd-32284dc4e75b/04f7ccdf-497c-474c-9821-499653d27fd4/w5exm3p_processed.jpeg)
Transcribed Image Text:control
I
option
H
command
Math 160
Interval
Average ROC
from the left
Interval
[1068] Average ROC
from the right
B
[5,6]
N
Average rate of change = slope of secant line over the same interval.
Instantaneous rate of change slope of tangent line at a point.
16-
The Derivative
[6,7]
M
Use the given continuous function to find the exact ROC
Answer the following questions using this function that represents the temperature over
the interval [4, 10]
T(t) ==
(t-10)² + 105
to find the exact value of the instantaneous rate of change at t = 6.
9. Find the average rate of change for each interval given in the chart. Use the table
function on your calculator to aid in your calculations. 69 101 DORA on b
[5.5,6]
V.
75
H
[6,6.5]
command
(9.8)
I
option
?
1
Worksheet
[5.9,6]
[6.6.1]
[5.99, 6]
[6,6.01]
10. Using the information from the charts above, what number does the AROC seem to be
approaching as the intervals get smaller? (Hint: Look at the last values in both charts.)
What is the instantaneous rate of change at t = 6?
shift
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