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
Transcribed Image Text:### Linear Approximation Exercise
**Objective:** Use linear approximation to estimate \(\sqrt{69}\).
**Task:** Calculate \(\sqrt{69} \approx ?\) (rounded to 4 decimal places).
Make sure to follow the steps for linear approximation and verify your result with a calculator if possible for accuracy.
Expert Solution
Step 1
We want to find the approximate value of √69.
According to linear approximation,
L(x) = f(a) + f'(a)(x—a)
a is the any point near 69 whose square root is a whole number.
Step by step
Solved in 2 steps with 1 images
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