We are first asked to find the average rate of change of R(t) over the intervals [t, t + h] with t = 5 and h = 1, 0.1, and 0.01. Recall that the average rate of change of R over an interval [a, a + h] is the difference quotient R(a + h) − R(a) h Organize the calculations in a table. Use R(t) = 80 + 40t - t² and t = 5. First calculate the average rate of change over [5, 5 + h] for h = 1, 0.1, 0.01. Begin with h 1. R(5 + 1) - R(5) 1 R(6) - R(5) 1 80+ 40 6 - 1 ²)-(80+40.5-5²)
We are first asked to find the average rate of change of R(t) over the intervals [t, t + h] with t = 5 and h = 1, 0.1, and 0.01. Recall that the average rate of change of R over an interval [a, a + h] is the difference quotient R(a + h) − R(a) h Organize the calculations in a table. Use R(t) = 80 + 40t - t² and t = 5. First calculate the average rate of change over [5, 5 + h] for h = 1, 0.1, 0.01. Begin with h 1. R(5 + 1) - R(5) 1 R(6) - R(5) 1 80+ 40 6 - 1 ²)-(80+40.5-5²)
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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![We are first asked to find the average rate of change of R(t) over the intervals [t, t + h] with t = 5 and h = 1, 0.1, and 0.01.
Recall that the average rate of change of R over an interval [a, a + h] is the difference quotient
(a + h) − R(a)
h
Organize the calculations in a table. Use R(t) = 80 + 40t - t² and t = 5.
First calculate the average rate of change over [5, 5+ h] for h = 1, 0.1, 0.01.
Begin with h = 1.
R(5+1) R(5)
1
=
R(6) - R(5)
1
80+ 40 6 -
1
- (80+ 405-5²)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e4df10b-736d-4137-83ee-4d7795b0dffe%2Fec231e83-7103-499e-820e-c7b3507637f9%2Feslqj1p_processed.png&w=3840&q=75)
Transcribed Image Text:We are first asked to find the average rate of change of R(t) over the intervals [t, t + h] with t = 5 and h = 1, 0.1, and 0.01.
Recall that the average rate of change of R over an interval [a, a + h] is the difference quotient
(a + h) − R(a)
h
Organize the calculations in a table. Use R(t) = 80 + 40t - t² and t = 5.
First calculate the average rate of change over [5, 5+ h] for h = 1, 0.1, 0.01.
Begin with h = 1.
R(5+1) R(5)
1
=
R(6) - R(5)
1
80+ 40 6 -
1
- (80+ 405-5²)
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