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. Interval Average ROC from the left [5,6] 10/2 [5.5,6] [5.9.6] [5.99, 6]
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. Interval Average ROC from the left [5,6] 10/2 [5.5,6] [5.9.6] [5.99, 6]
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffaa3be14-7f82-4920-95bd-32284dc4e75b%2F04f7ccdf-497c-474c-9821-499653d27fd4%2Fw5exm3p_processed.jpeg&w=3840&q=75)
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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