Q9 1 Let f(x)= 38- - 6x (i) Find the local linearization (tangent line approximation) of the function f for x 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q9
Let f(x) =
=
1
38-6x
(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.
Transcribed Image Text:Q9 Let f(x) = = 1 38-6x (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.
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