A graphing calculator is recommended. A man stands at a point A on the bank of a straight river, 4 mi wide. To reach point B, L = 9 mi downstream on the opposite bank, he first rows his boat to point P on the opposite bank and then walks the remaining distance x to B, as shown in the figure. He can row at a speed of 2 mi/h and walk at a speed of 5 mi/h. mi (a) Find function that models the time T needed for the trip. T(x) = (b) Where should he land so that he reaches B as soon as possible? (Round your answer to two decimal places.) mi from point B
A graphing calculator is recommended. A man stands at a point A on the bank of a straight river, 4 mi wide. To reach point B, L = 9 mi downstream on the opposite bank, he first rows his boat to point P on the opposite bank and then walks the remaining distance x to B, as shown in the figure. He can row at a speed of 2 mi/h and walk at a speed of 5 mi/h. mi (a) Find function that models the time T needed for the trip. T(x) = (b) Where should he land so that he reaches B as soon as possible? (Round your answer to two decimal places.) mi from point B
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Only answer part A please.
Transcribed Image Text:A graphing calculator is recommended.
A man stands at a point A on the bank of a straight river, 4 mi wide. To reach point B, L = 9 mi downstream on the opposite bank, he first rows his boat to point P on the opposite bank and then walks
the remaining distance x to B, as shown in the figure. He can row at a speed of 2 mi/h and walk at a speed of 5 mi/h.
L mi
=
323
B
(a) Find a function that models the time T needed for the trip.
T(x):
(b) Where should he land so that he reaches B as soon as possible? (Round your answer to two decimal places.)
mi from point B
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