30 Oct 2021
Problem 59d
Page 309
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
30 Oct 2021
Given information
Note that given,
A bird with these tendencies is released from an island that is 5 km from the nearest point B on a straight shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. Points B and D are 13 km apart.
Step-by-step explanation
Step 1.
Draw the required diagram,
Let the distance from to .
Know that Pythagorean Theorem, the sum of the squares on the legs of the right-angled triangle is equal to the square on the side opposite to the right angle triangle. That is: