Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
A tour boat travels between two islands
that are 12 miles apart (see figure). For each trip between
the islands, there is enough fuel for a 20-mile trip
(a) Explain why the region in which the boat can travel
is bounded by an ellipse.
(b) Let (0, 0) represent the center of the ellipse. Find the
coordinates of the center of each island.
(c) The boat travels from Island 1, past Island 2 to one
vertex of the ellipse, and then to Island 2 (see figure).
How many miles does the boat travel? Use your
answer to find the coordinates of the vertex.
(d) Use the results of parts (b) and (c) to write an
equation of the ellipse that bounds the region in
which the boat can trave
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