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1. (a) Find the differential of g(u, v) = u² + uv. (b) Use your answer to part (a) to estimate the change in g as you move from (1,2) to (1.2, 2.1).

1. (a) Find the differential of g(u, v) = u² + uv. (b) Use your answer to part (a) to estimate the change in g as you move from (1,2) to (1.2, 2.1).

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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**Exercises:** 1. (a) Find the differential of \( g(u, v) = u^2 + uv \). (b) Use your answer to part (a) to estimate the change in \( g \) as you move from \( (1, 2) \) to \( (1.2, 2.1) \).
Transcribed Image Text:**Exercises:** 1. (a) Find the differential of \( g(u, v) = u^2 + uv \). (b) Use your answer to part (a) to estimate the change in \( g \) as you move from \( (1, 2) \) to \( (1.2, 2.1) \).
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