13 Oct 2021
Problem 1a
Page 132
Section 2.1: The Tangent and Velocity Problems
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
13 Oct 2021
Given information
Given :-
t (min) | 5 | 10 | 15 | 20 | 25 | 30 |
V (gal) | 694 | 444 | 250 | 111 | 28 | 0 |
To find :- find the slope of the secant line when is the point on the graph with .
Step-by-step explanation
Step 1.
Consider the table,
t (min) | 5 | 10 | 15 | 20 | 25 | 30 |
V (gal) | 694 | 444 | 250 | 111 | 28 | 0 |
Let us find the slopes of the line by using ,
First, calculate :
The given point :
Then,
Thus, the slope when is .