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1. Here we consider f(x)=√x near x = 8. (a) Find T₁(x), T₂(x) and T3(x) centered at x = 8. (b) Use each of T₁(x), T₂(x), and T3(x) to approximate v7.8. (c) Use a calculator to find the size of the errors |ƒ(7.8) — T₁(7.8)|, |ƒ (7.8) — T₂(7.8)|, and |f(7.8) - T3(7.8)|.

1. Here we consider f(x)=√x near x = 8. (a) Find T₁(x), T₂(x) and T3(x) centered at x = 8. (b) Use each of T₁(x), T₂(x), and T3(x) to approximate v7.8. (c) Use a calculator to find the size of the errors |ƒ(7.8) — T₁(7.8)|, |ƒ (7.8) — T₂(7.8)|, and |f(7.8) - T3(7.8)|.

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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1. Here we consider f(x)=√x near x = 8. (a) Find T₁(x), T₂(x) and T3(x) centered at x = = 8. (b) Use each of T₁(x), T₂(x), and T3(x) to approximate 7.8. (c) Use a calculator to find the size of the errors f(7.8) — T₁ (7.8)|, |ƒ(7.8) — T₂(7.8)], and |f(7.8) T3 (7.8)|.
Transcribed Image Text:1. Here we consider f(x)=√x near x = 8. (a) Find T₁(x), T₂(x) and T3(x) centered at x = = 8. (b) Use each of T₁(x), T₂(x), and T3(x) to approximate 7.8. (c) Use a calculator to find the size of the errors f(7.8) — T₁ (7.8)|, |ƒ(7.8) — T₂(7.8)], and |f(7.8) T3 (7.8)|.
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