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To develop strategies to manage water quality in polluted lakes, biologists must determine the depths of sediments D(t) and the rate of sedimentation. It has been determined that the depth of sediment (in centimeters) with respect to time (in years before 1990) for a lake can be estimated by the equation D(t)=151 (1-e -0.01371). a. Find D(20) and interpret. b. Find lim D(t) and interpret.

To develop strategies to manage water quality in polluted lakes, biologists must determine the depths of sediments D(t) and the rate of sedimentation. It has been determined that the depth of sediment (in centimeters) with respect to time (in years before 1990) for a lake can be estimated by the equation D(t)=151 (1-e -0.01371). a. Find D(20) and interpret. b. Find lim D(t) and interpret.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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To develop strategies to manage water quality in polluted lakes, biologists must determine the depths of sediments D(t) and the rate of sedimentation. It has been determined that the depth of K sediment (in centimeters) with respect to time (in years before 1990) for a lake can be estimated by the equation D(t) = 151 (1 - e -0.0137t). a. Find D(20) and interpret. b. Find lim D(t) and interpret. 1-00 a. Find D(20). D(20) = (Round to one decimal place as needed.) 20 F3 200 F4 F5 SEP 28 MacBook Air F7 A DII F8 F9 O J F10 4) O F11 F12 swer
Transcribed Image Text:To develop strategies to manage water quality in polluted lakes, biologists must determine the depths of sediments D(t) and the rate of sedimentation. It has been determined that the depth of K sediment (in centimeters) with respect to time (in years before 1990) for a lake can be estimated by the equation D(t) = 151 (1 - e -0.0137t). a. Find D(20) and interpret. b. Find lim D(t) and interpret. 1-00 a. Find D(20). D(20) = (Round to one decimal place as needed.) 20 F3 200 F4 F5 SEP 28 MacBook Air F7 A DII F8 F9 O J F10 4) O F11 F12 swer
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