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The graph of the equation
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Precalculus: Mathematics for Calculus (Standalone Book)
- Tour Boat A tour boat travels between two islands that are 12 miles apart (see figure). 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 each island. (c) The boat travels from Island 1, past Island 2 to a vertex of the ellipse, and then to Island 2. How many miles does the boat travel? Use your answer to find the coordinates of the vertex. (d) Use the results from parts (b) and (c) to write an equation of the ellipse that bounds the region in which the boat can travel.arrow_forwardThe graph of the equation x2=4py is a parabola with focus F(__, __) and directrix y = ____. So the graph of x2=12y is a parabola with focus F(__, __) and directrix y = ____.arrow_forwardThe graph of the equation x2a2+y2b2=1 with a >b > 0 is an ellipse with vertices ( __, __ ) and ( __, __ ) and foci (c,0) , where c = ___. So the graph of x252+y242=1 is an ellipse with vertices ( __, __ ) and ( __, __ ) and foci ( __, __ ) and ( __, __ ).arrow_forward
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