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Use Linear Approximation to estimate the change, Az, in z = 8x2 + y? as (x, y) changes from (2, 3) to (2.03, 3.06). 1. Az a 1.62 2. Az a 1.32 3. Az 2 1.72

Use Linear Approximation to estimate the change, Az, in z = 8x2 + y? as (x, y) changes from (2, 3) to (2.03, 3.06). 1. Az a 1.62 2. Az a 1.32 3. Az 2 1.72

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. \( \Delta z \approx 1.42 \) 5. \( \Delta z \approx 1.52 \)
Transcribed Image Text:4. \( \Delta z \approx 1.42 \) 5. \( \Delta z \approx 1.52 \)
**Linear Approximation to Estimate Change** Objective: Use Linear Approximation to estimate the change, \( \Delta z \), in the function: \[ z = 8x^2 + y^2 \] as the point \((x, y)\) changes from \((2, 3)\) to \((2.03, 3.06)\). Estimate Options: 1. \( \Delta z \approx 1.62 \) 2. \( \Delta z \approx 1.32 \) 3. \( \Delta z \approx 1.72 \)
Transcribed Image Text:**Linear Approximation to Estimate Change** Objective: Use Linear Approximation to estimate the change, \( \Delta z \), in the function: \[ z = 8x^2 + y^2 \] as the point \((x, y)\) changes from \((2, 3)\) to \((2.03, 3.06)\). Estimate Options: 1. \( \Delta z \approx 1.62 \) 2. \( \Delta z \approx 1.32 \) 3. \( \Delta z \approx 1.72 \)
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