30 Oct 2021
Problem 51
Page 308
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
30 Oct 2021
Given information
Note that given,
Let 
be the velocity of light in air and 
the velocity of light in water. According to Fermat’s Principle, a ray of light will travel from a point 
in the air to a point 
in the water by a
be the velocity of light in air and the velocity of light in water. According to Fermat’s Principle, a ray of light will travel from a point in the air to a point in the water by apath 
that minimizes the time taken.
that minimizes the time taken.
Step-by-step explanation
Step 1.
Draw the required diagram according to the given problem.
Apply Pythagorean Theorem in right-angled 
.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
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