An earthquake was felt up to 52 miles from its epicenter. You were located 40 miles west

Chapter 10, Problem 41

(choose chapter or problem)

An earthquake was felt up to 52 miles from its epicenter. You were located 40 miles west and 30 miles south of the epicenter.

(a) Let the epicenter be at the point (0, 0). Find the standard equation that describes the outer boundary of the earthquake.

(b) Would you have felt the earthquake?

(c) Verify your answer to part (b) by graphing the equation of the outer boundary of the earthquake and plotting your location. How far were you from the outer boundary of the earthquake?

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