7 ☐ 1. Find the local linear approximation of y = tan x at x = πT 4 О L(x) = 1.117+2.248 x -ㅠ) 7 4 О L(x) = − 1 + 2 ( x 120-17) О L(x) = 1.117 (2 17 (2-1) 7 +2.248 О L(x) = −1 ( 2 --=—177) + +2 ☐ ☐ 2. Find the local linear approximation of y = x + x³ at x = 0 ○ L(x) = 3(x − 3) ○ L(x) = x ○ L(x) = 3x ○ L(x) = 3x² ☐ ☐ 3. Solve x² - 9 = 0 using Newton's method. Show the first four iterations. Round to 4 decimal places for your answer but use all decimals in your calculator to get the next iteration value. = = 9 x1 = X2 x3 x4 =

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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Question
7
☐
1. Find the local linear approximation of y = tan x at x =
πT
4
О
L(x) = 1.117+2.248 x -ㅠ)
7
4
О
L(x) = − 1 + 2 ( x
120-17)
О
L(x) = 1.117 (2
17 (2-1)
7
+2.248
О
L(x) = −1 ( 2 --=—177) +
+2
☐
☐ 2. Find the local linear approximation of y = x + x³ at x = 0
○ L(x) = 3(x − 3)
○ L(x) = x
○ L(x) = 3x
○ L(x) = 3x²
☐
☐ 3. Solve x² - 9 = 0 using Newton's method. Show the first four iterations. Round to
4 decimal places for your answer but use all decimals in your calculator to get the
next iteration value.
=
= 9
x1 =
X2
x3
x4
=
Transcribed Image Text:7 ☐ 1. Find the local linear approximation of y = tan x at x = πT 4 О L(x) = 1.117+2.248 x -ㅠ) 7 4 О L(x) = − 1 + 2 ( x 120-17) О L(x) = 1.117 (2 17 (2-1) 7 +2.248 О L(x) = −1 ( 2 --=—177) + +2 ☐ ☐ 2. Find the local linear approximation of y = x + x³ at x = 0 ○ L(x) = 3(x − 3) ○ L(x) = x ○ L(x) = 3x ○ L(x) = 3x² ☐ ☐ 3. Solve x² - 9 = 0 using Newton's method. Show the first four iterations. Round to 4 decimal places for your answer but use all decimals in your calculator to get the next iteration value. = = 9 x1 = X2 x3 x4 =
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