The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) - π 5 sin -t + 6 7π 7T) + 6 +4 where t is the number of hours after midnight. Find the rate at which the depth is changing at 5 a.m. Round your answer to 4 decimal places. ft/hr
The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) - π 5 sin -t + 6 7π 7T) + 6 +4 where t is the number of hours after midnight. Find the rate at which the depth is changing at 5 a.m. Round your answer to 4 decimal places. ft/hr
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 36E: Find all points on the graph of fx=x3+9x2+19x-10 where the slope of the tangent line is -5.
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
D(t)
π
= 5 sin =t+
6
7π
6
+4
where t is the number of hours after midnight. Find the rate at which the depth is changing at 5 a.m.
Round your answer to 4 decimal places.
ft/hr](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e51674d-3d29-4cb4-94ad-529601d10286%2F62c11849-db73-4707-9377-49d374c2da74%2F89mp35m_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
D(t)
π
= 5 sin =t+
6
7π
6
+4
where t is the number of hours after midnight. Find the rate at which the depth is changing at 5 a.m.
Round your answer to 4 decimal places.
ft/hr
![Find the following using the table below.
X
1 2 3
f(x) 4 1 2 3
f'(x) 4
g(x)
g'(x) 4 1 2
NW
1 2
h' (3) if h(x) =
433
W|N
3
4 1 3 2
W|N
3
h' (3) if h(x) = f(x) · g(x)
f(x)
g(x)
h'(3) if h(x) = f(g(x))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e51674d-3d29-4cb4-94ad-529601d10286%2F62c11849-db73-4707-9377-49d374c2da74%2F0zwj1y_processed.png&w=3840&q=75)
Transcribed Image Text:Find the following using the table below.
X
1 2 3
f(x) 4 1 2 3
f'(x) 4
g(x)
g'(x) 4 1 2
NW
1 2
h' (3) if h(x) =
433
W|N
3
4 1 3 2
W|N
3
h' (3) if h(x) = f(x) · g(x)
f(x)
g(x)
h'(3) if h(x) = f(g(x))
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