Two dogs are swimming after a ball that was thrown in a pond as shown in the figure. To the nearest tenth, how far from the ball is Molly?
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Answer:
where is that figure? You forgot to upload picture ,i think.
Step-by-step explanation:
a. Assume the dog runs at speed r and swims at speed s, where r > s and both are measured in meters/second. Also assume the lengths of BC, CD, and AC are x, y, and z, respectively. Find a function T(y) representing the total time it takes the dog to get to the ball.
b. Verify that the value of y that minimizes the time it takes to retrieve the ball is .
c. If the dog runs at 8 m/s and swims at 1 m/s, what ratio y/x produces the fastest retrieving time?
d. A dog named Elvis who runs at 6.4 m/s and swims at 0.910 m/s was found to use an average ratio y/x of 0.144 to retrieve his ball. Does Elvis appear to know calculus? (Source: Do Dogs Know Calculus? T. Pennings, The College Mathematics Journal, 34, 3, May 2003)
Step-by-step solution:
Step 1 of 5
The speed of the dog is r m/s.
The swimming speed is s m/s.
Let us draw the scenario given in the question.
Picture 1
Chapter 4.4, Problem 62E is solved.
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Corresponding Textbook
Calculus Plus NEW MyMathLab with Pearson EText -- Access Card Package (2nd) edition 9780321963635 321963636
Calculus Plus NEW MyMathLab with Pearson eText -- Access Card Package | 2nd Edition
9780321963635ISBN-13: 0321963636ISBN: William L Briggs, Bill Briggs, Bernard Gillett, Lyle CochranAuthors: Rent | Buy
Calculus Plus NEW MyMathLab with Pearson eText -- Access Card Package
(2nd Edition)
Solutions for Chapter 4.4 Problem 62E
Problem 62E: Do dogs know calculus? A mathematician stands on a beach wit...
Solutions for Problems in Chapter 4.4 is solved
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