For each of the following functions: (a) Find the linearization L at a = 4. (b) Use the linearization to approximate f(4.1). (c) Using technology, plot f and L on the same set of axes and from the plot indicate whether the estimate is greater than or less than the actual value. i. f(x) = x2 x −3 ii. f(x) = 1√3x + 4
For each of the following functions: (a) Find the linearization L at a = 4. (b) Use the linearization to approximate f(4.1). (c) Using technology, plot f and L on the same set of axes and from the plot indicate whether the estimate is greater than or less than the actual value. i. f(x) = x2 x −3 ii. f(x) = 1√3x + 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For each of the following functions:
(a) Find the linearization L at a = 4.
(b) Use the linearization to approximate f(4.1).
(c) Using technology, plot f and L on the same set of axes and from the plot indicate whether the
estimate is greater than or less than the actual value.
i. f(x) = x2
x −3
ii. f(x) = 1√3x + 4
iii. f(x) = ex2
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