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Consider the function 1 36 – x2 – y2* - (a) Find the domain and range. (b) Sketch the domain. (c) On a separate graph, draw three level curves. (d) Write down the linearization centred at the point (x, y) = (3,2). (e) How close is the linearization to the actual value at the point (3. 01, 1. 99)? Give your answer in terms of the number of decimal places of accuracy.

Consider the function 1 36 – x2 – y2* - (a) Find the domain and range. (b) Sketch the domain. (c) On a separate graph, draw three level curves. (d) Write down the linearization centred at the point (x, y) = (3,2). (e) How close is the linearization to the actual value at the point (3. 01, 1. 99)? Give your answer in terms of the number of decimal places of accuracy.

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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Consider the function 1 36— х2 — у? (a) Find the domain and range. (b) Sketch the domain. (c) On a separate graph, draw three level curves. (d) Write down the linearization centred at the point (x, y) = (3,2). (e) How close is the linearization to the actual value at the point (3. 01, 1.99)? Give your answer in terms of the number of decimal places of accuracy.
Transcribed Image Text:Consider the function 1 36— х2 — у? (a) Find the domain and range. (b) Sketch the domain. (c) On a separate graph, draw three level curves. (d) Write down the linearization centred at the point (x, y) = (3,2). (e) How close is the linearization to the actual value at the point (3. 01, 1.99)? Give your answer in terms of the number of decimal places of accuracy.
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