Use linear approximation, i.e. the tangent line, to approximate 1/0.251 as follows: Let f(x)= 1/x and find the equation of the tangent line in slope-intercept form to f(x) at a "nice" point near 0.251. Then use this to approximate 1/0.251 ?
Use linear approximation, i.e. the tangent line, to approximate 1/0.251 as follows: Let f(x)= 1/x and find the equation of the tangent line in slope-intercept form to f(x) at a "nice" point near 0.251. Then use this to approximate 1/0.251 ?
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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Hi there! I have a couple of questions about some calculus problems I am working on. I was hoping someone could help me and show their work since I actually want to learn this. I will be upvoting all correct answers. I really appreciate any help you can provide.
1. Use linear approximation, i.e. the tangent line, to approximate 1/0.251 as follows:
Let f(x)= 1/x and find the equation of the tangent line in slope-intercept form to f(x) at a "nice" point near 0.251.
Then use this to approximate 1/0.251
?
2. Let y=4√x.
Find the change in y, Δy when x=3 and Δx=0.1 ?
Find the differential dy when x=3 and dx=0.1 ?
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