Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases exponentially as shown in the graph below. The engineers measure the depth adter 1 hour to be 64 feet and after 4 hours to be 28 feet. Develop an exponential equation in y=a(b)^2 to predict the depth as a function of hours draining. Round a to the nearest integer and b to the nearest hundredth. The, graph the horizontal line y = 10 and find its intersection to determine the time, to the nearest tenth of an hour, when will the reservoir reach a depth of 10 feet? 100(1, 64)50(4, 28)Time (hrs)Water Depth (n) 5. Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases exponentially asshown in the graph below. The engineers measure the depth after I hour to be 64 feet and after 4 hours to be28 feet. Develop an exponential equation in y=a(b) to predict the depth as a function of hours draining.Round a to the nearest integer and b to the nearest hundredth. Then, graph the horizontal line y 10 andfind its intersection to determine the time, to the nearest tenth of an hour, when the reservoir will reach adepth of 10 feet.100

Answered: Engineers are draining a water…

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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Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases exponentially as shown in the graph below. The engineers measure the depth adter 1 hour to be 64 feet and after 4 hours to be 28 feet. Develop an exponential equation in y=a(b)^2 to predict the depth as a function of hours draining. Round a to the nearest integer and b to the nearest hundredth. The, graph the horizontal line y = 10 and find its intersection to determine the time, to the nearest tenth of an hour, when will the reservoir reach a depth of 10 feet?

100
(1, 64)
50
(4, 28)
Time (hrs)
Water Depth (n)

5. Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases exponentially as
shown in the graph below. The engineers measure the depth after I hour to be 64 feet and after 4 hours to be
28 feet. Develop an exponential equation in y=a(b) to predict the depth as a function of hours draining.
Round a to the nearest integer and b to the nearest hundredth. Then, graph the horizontal line y 10 and
find its intersection to determine the time, to the nearest tenth of an hour, when the reservoir will reach a
depth of 10 feet.
100

Expert Solution

Step 1: Given.

Given: Depth after 1 hour is 64 feet and depth after 4 hour is 28 feet.

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