Concept explainers
To match the slope
Answer to Problem 46E
The correct graph of the given slope
The graph of the point
Explanation of Solution
Given information :
The slope
Calculation:
Consider, the slope
It is clear that the slope is zero whenever
This shows that the graph must have horizontal line segments at all points with an x-coordinate of zero and all points with a y-coordinates of zero.
Thus, the graph of the slope field is in the form,
Therefore, from the given set of graphs option A is the correct match for the slope
Now, to find the particular solution through the above graph for the point
Consider the point
Which is the particular solution for the slope
Chapter 7 Solutions
Calculus: Graphical, Numerical, Algebraic
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