Concept explainers
a.
To graph:
To graph the given initial value problem
a.
Answer to Problem 47E
Explanation of Solution
Given information:
The given initial value problem is
Graph:
Now to find the general solution by finding the anti-derivative.
Now substituting the point
So the solution of the initial value problem is
Interpretation:
We are only evaluating the part of the graph that passes through the point
b.
To Show:
To show that the given graph is not the correct answer of part (a).
b.
Answer to Problem 47E
The given graph is an incorrect graph to part (a).
Explanation of Solution
Given information:
The given graph is
Proof:
The student’s graph is an incorrect graph of the function because we are only evaluating a certain portion of the graph, the portion that passes through
The actual solution graph is only the portion of the graph that passes through the point and nothing more when the graph is discontinuous.
Hence, the given graph is not correct to part (a).
Chapter 7 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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