For fiddler crabs, the weight of the claw can be modeled as f(w) 0.11w1.54 pounds when the weight of the body is w pounds.t Note that f(w) is increasing and concave up for all w> 0. For positive values of w, will a linearization of foverestimate or underestimate the function values? Explain the function output a line tangent to the curve. Since f is concave down the curve except at the y-intercept , the tangent line at any point on fwill lie above A linearization follows Therefore, a linearization will overestimate values
For fiddler crabs, the weight of the claw can be modeled as f(w) 0.11w1.54 pounds when the weight of the body is w pounds.t Note that f(w) is increasing and concave up for all w> 0. For positive values of w, will a linearization of foverestimate or underestimate the function values? Explain the function output a line tangent to the curve. Since f is concave down the curve except at the y-intercept , the tangent line at any point on fwill lie above A linearization follows Therefore, a linearization will overestimate values
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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
Transcribed Image Text:For fiddler crabs, the weight of the claw can be modeled as
f(w) 0.11w1.54 pounds
when the weight of the body is w pounds.t
Note that f(w) is increasing and concave up for all w> 0.
For positive values of w, will a linearization of foverestimate or underestimate the function values? Explain
the function output
a line tangent to the curve. Since f is concave down
the curve except at the y-intercept
, the tangent line at any point on fwill lie above
A linearization follows
Therefore, a linearization will overestimate
values
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