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
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)|.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e9b89df-c7d2-4fa7-b4a5-32520659af16%2Fbe1b3e49-3715-4879-83c3-a5fdbf2e3589%2F8qzf0xm_processed.png&w=3840&q=75)
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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