4. DETAILS SCALCET9M 3.10.001.MI. Find the linearization L(x) of the function at a. f(x) = x - x² + 7, a = -3 L(x) =

Calculus: Early Transcendentals
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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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4.
DETAILS
SCALCET9M 3.10.001.MI.
Find the linearization L(x) of the function at a.
f(x) = x³ – x² + 7, a = -3
L(x) =
Transcribed Image Text:4. DETAILS SCALCET9M 3.10.001.MI. Find the linearization L(x) of the function at a. f(x) = x³ – x² + 7, a = -3 L(x) =
3.
DETAILS
SCALCETOM 3.9.002.
MY NOTES
ASK YOUR TEACHER
dA
in terms of
dt
dr
(a) If A is the area of a circle with radius r and the circle expands as time passes, find
dt
dA
dr
dt
dt
(b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oll spill increases at a constant rate of 2 m/s, exactly how fast (in m/s) is the area of
the spill Increasing when the radius is 35 m?
m/s
Transcribed Image Text:3. DETAILS SCALCETOM 3.9.002. MY NOTES ASK YOUR TEACHER dA in terms of dt dr (a) If A is the area of a circle with radius r and the circle expands as time passes, find dt dA dr dt dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oll spill increases at a constant rate of 2 m/s, exactly how fast (in m/s) is the area of the spill Increasing when the radius is 35 m? m/s
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