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Define f by where h is some continuos function Moreover, suppose that f(0,0) = 5. approximate the value of f(x, y) = 2* *h(t) dt, of one variable such that h(0) = 3 and h(1) = 1. Find the local linear approximation of f at (0,0), and use it to 1.04 J0.01 h(t) dt.

Define f by where h is some continuos function Moreover, suppose that f(0,0) = 5. approximate the value of f(x, y) = 2* *h(t) dt, of one variable such that h(0) = 3 and h(1) = 1. Find the local linear approximation of f at (0,0), and use it to 1.04 J0.01 h(t) dt.

Advanced Engineering Mathematics
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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Define f by 2y+1 f(x,y) = 2** h(t) dt, where h is some continuos function of one variable such that h(0) = 3 and h(1) = 1. Moreover, suppose that f(0,0) = 5. Find the local linear approximation of f at (0,0), and use it to approximate the value of 1.04 J0.01 h(t) dt.
Transcribed Image Text:Define f by 2y+1 f(x,y) = 2** h(t) dt, where h is some continuos function of one variable such that h(0) = 3 and h(1) = 1. Moreover, suppose that f(0,0) = 5. Find the local linear approximation of f at (0,0), and use it to approximate the value of 1.04 J0.01 h(t) dt.
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