Concept explainers
(a)
To find the standard equation that describes the outer boundary of the earthquake.
(a)
Answer to Problem 91E
The standard equation that describes the outer boundary of the earthquake is
Explanation of Solution
Given:
Earthquake is felt up to 52 miles from its epicentre. Let the epicentre be at point
Concept Used:
Outer boundary of the earthquake will be in form of circle.
So,
Standard Equation of earthquake will be similar to Equation of circle
Calculation:
Given epicentre is at point
Therefore,
Hence,
Standard equation that describes earthquake is as follows
Conclusion:
(b)
To tell whether the earthquake be felt by the person who is located at 40 miles west and 30 miles south of the epicentre or not
(b)
Answer to Problem 91E
Yes, the earthquake be felt by the person who is located at 40 miles west and 30 miles south of the epicentre.
Explanation of Solution
Given:
Location of a person is 40 miles west and 30 miles south of the epicentre.
Concept Used:
Find distance between the person and epicentre. If distance is within boundary of earthquake then it will be felt.
Distance=
Calculation:
Epicentre is at origin
Distance
Conclusion:
As earthquake is felt up to 52 miles, therefore it will surely be felt by the person who is located at given coordinates.
(c)
To verify the answer of part (b) by graphing equation of outer boundary and plotting location of person and also find how far is person from boundary.
(c)
Answer to Problem 91E
Person is 2 miles away from the boundary
Explanation of Solution
Given:
Epicentre is 52 miles away from boundary of earthquake.
Concept Used:
Required distance =Distance between boundary and epicentre
Calculation:
Required graph
Conclusion:
Required distance =
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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