The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function ㅠ 4 sin =t+ 6 D(t) = 4 sin 7π 755) 6 +3 where t is the number of hours after midnight. Find the rate at which the depth is changing at 1 a.m. Round your answer to 4 decimal places.
The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function ㅠ 4 sin =t+ 6 D(t) = 4 sin 7π 755) 6 +3 where t is the number of hours after midnight. Find the rate at which the depth is changing at 1 a.m. Round your answer to 4 decimal places.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
Related questions
Question
![The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the
function
π
D(t) = 4 sin -t +
7π
6
+3
where t is the number of hours after midnight. Find the rate at which the depth is changing at 1 a.m.
Round your answer to 4 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff58ebad7-4c7d-4972-95d3-7aed2bc3d9e0%2F392bc919-b1ea-4937-9f88-a3e5727cfc5b%2F06b74a6_processed.png&w=3840&q=75)
Transcribed Image Text:The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the
function
π
D(t) = 4 sin -t +
7π
6
+3
where t is the number of hours after midnight. Find the rate at which the depth is changing at 1 a.m.
Round your answer to 4 decimal places.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652224/9781305652224_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652224/9781305652224_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning