26. Walking and swimming A man wishes to get from an initial point on the shore of a circular pond with radius 1 mi to apoint on the shore directly opposite (on the other end of the diameter). He plans to swim from the initial point toanother point on the shore and then walk along the shore to the terminal point.a. If he swims at 2 mi/hr and walks at 4 mi/hr, what are the maximum and minimum times for the trip?b. If he swims at 2 mi/hr and walks at 1.5 mi/hr, what are the maximum and minimum times for the trip?c. If he swims at 2 mi/hr, what is the minimum walking speed for which it is quickest to walk the entire distance?

Consider the diagram as per given information, It can be observed from the diagram,…

Answered: 26. Walking and swimming A man wishes…

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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In the figure below (not drawn in scale), the points A, B, and C represent the locations of threehospitals on the shore of a peninsula. These hospitals use drones to safely send medicines fromone hospital to another.A drone departs from A in direction to C, travels at 35 km per hour, and takes 45 minutes untilit arrives at C. Another drone, departing from B to C, traveling at 40 km per hour takes 30minutes until it arrives at C. The drones’ paths are indicated in the Figure below as segmentsb(from A to C) anda(from B to C), respectively. The angle ACB (at the tip of the peninsulain the picture) is85◦. Deduce the distance between the towns A and B and. Express your finalanswer in 3 decimal places.
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