Concept explainers
To match the slope
Answer to Problem 42E
The correct graph of the given slope
The graph of the point
Explanation of Solution
Given information :
The slope
Calculation:
Consider, the slope
Using the above value it is clear that, the slope is in square root which can never be in negative.
Thus, the graphs A is eliminated since they have negative slope.
Consider,
Thus,
This ruins out the graphs B, C and E snice these graphs have slopes of Zero.
Therefore, the graph of D or F is the match for the slope
Since
This eliminates the graph D since all the points in the graph have the same slopes when the x -coordinates are the same.
Hence, the graph of the slope field is in the form,
Thus, from the given set of graphs option F 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: Solutions Manual
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