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Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(9) = 10, ƒ(10) = 3, ƒ'(10) = 10, ƒ′(9) = 3 Find F'(9) = = and G'(9) =

Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(9) = 10, ƒ(10) = 3, ƒ'(10) = 10, ƒ′(9) = 3 Find F'(9) = = and G'(9) =

Calculus: Early Transcendentals
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...
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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) =
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.
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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