1 Nov 2021
Problem 61c
Page 310
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
1 Nov 2021
Given information
Note that given,
The speeds of sound in an upper layer and in a lower layer of rock and the thickness h of the upper layer can be determined by seismic exploration if the speed of sound in the lower layer is greater than the speed in the upper layer. A dynamite charge is detonated at a point P and the transmitted signals are recorded at a point Q, which is a distance D from P. The first signal to arrive at Q travels along the surface and takes seconds. The next signal travels from P to a point R, from R to S in the lower layer, and then to Q, taking seconds. The third signal is reflected off the lower layer at the midpoint O of RS and takes seconds to reach Q.
Step-by-step explanation
Step 1.
Draw the required diagram,
Know that