Step 7 To estimate the slope of the tangent line at t = 15, we average the slopes of the adjacent secant lines for t = 10 and t = 20. As obtained in part (a), those slopes are msec = -136 and msec = -114.4, respectively. Therefore, the slope of the tangent line at t = 15 is as follows. (In the last step, round your answer to one decimal place.) -136 + If you use a graph of the function to estimate the slope of the tangent line at P(15, 1,040), you will see that it matches the above result. Submit Skin (you cannot come back)

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...
icon
Related questions
Question
Step 7
To estimate the slope of the tangent line at t = 15, we average the slopes of the adjacent secant lines for t = 10 and t = 20. As obtained in part (a), those slopes are m
respectively.
sec
Therefore, the slope of the tangent line at t = 15 is as follows. (In the last step, round your answer to one decimal place.)
-136 +
If you use a graph of the function to estimate the slope of the tangent line at P(15, 1,040), you will see that it matches the above result.
Submit Skip (you cannot come back)
= -136 and m
sec
-114.4,
Transcribed Image Text:Step 7 To estimate the slope of the tangent line at t = 15, we average the slopes of the adjacent secant lines for t = 10 and t = 20. As obtained in part (a), those slopes are m respectively. sec Therefore, the slope of the tangent line at t = 15 is as follows. (In the last step, round your answer to one decimal place.) -136 + If you use a graph of the function to estimate the slope of the tangent line at P(15, 1,040), you will see that it matches the above result. Submit Skip (you cannot come back) = -136 and m sec -114.4,
A tank holds 4,000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the
table show the volume V of water remaining in the tank (in gallons) after t minutes.
t (min)
V (gal)
5
10
2,772 1,720
15
1,040
20
25 30
468 112
0
Transcribed Image Text:A tank holds 4,000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes. t (min) V (gal) 5 10 2,772 1,720 15 1,040 20 25 30 468 112 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning