Q3 Let f(x)= 1 8-6x (i) Find the local linearization (tangent line approximation) of the function f for a near 0. 1 (ii) Use the local linearization from part (i) to approximate (Keep 5 decimal places of 37.7 = accuracy in your calculation.) (iii) Determine if your answer in part (ii) is an over or under-estimate of the true value.

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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Q3
Let f(x)
8- 6x
(i) Find the local linearization (tangent line approximation) of the function f for a near 0.
1
(ii) Use the local linearization from part (i) to approximate
(Keep 5 decimal places of
7.7
accuracy in your calculation.)
(iii) Determine if your answer in part (ii) is an over or under-estimate of the true value.
Transcribed Image Text:Q3 Let f(x) 8- 6x (i) Find the local linearization (tangent line approximation) of the function f for a near 0. 1 (ii) Use the local linearization from part (i) to approximate (Keep 5 decimal places of 7.7 accuracy in your calculation.) (iii) Determine if your answer in part (ii) is an over or under-estimate of the true value.
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