Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![Let F(x) = f(f(x)) and G(x) =
=
(F(x))² .
You also know that f(9) = 10, ƒ(10) = 3, ƒ'(10) = 10, ƒ'′(9) = 3
and G'(9)
Find F'(9)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff58ebad7-4c7d-4972-95d3-7aed2bc3d9e0%2F59f2b98b-efeb-4302-932e-c4342d839ce9%2F7o3lmzk_processed.png&w=3840&q=75)
Transcribed Image Text:Let F(x) = f(f(x)) and G(x) =
=
(F(x))² .
You also know that f(9) = 10, ƒ(10) = 3, ƒ'(10) = 10, ƒ'′(9) = 3
and G'(9)
Find F'(9)
=
![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%2F59f2b98b-efeb-4302-932e-c4342d839ce9%2Fvuyvy44_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.
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