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Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

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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Question
**Problem:** Find \(\lim_{(x, y) \to (12, 3)} xy \cos(x - 4y)\). **Options:** 1. \(-36\) 2. \(36\) 3. \(3\) 4. \(0\) **Explanation:** The problem presents a calculus question involving limits of a multivariable function. The task is to determine the limit of the expression as \(x\) approaches 12 and \(y\) approaches 3. Consider evaluating the function at the point \((x, y) = (12, 3)\) using the cosine function and substituting the values into the expression.
Transcribed Image Text:**Problem:** Find \(\lim_{(x, y) \to (12, 3)} xy \cos(x - 4y)\). **Options:** 1. \(-36\) 2. \(36\) 3. \(3\) 4. \(0\) **Explanation:** The problem presents a calculus question involving limits of a multivariable function. The task is to determine the limit of the expression as \(x\) approaches 12 and \(y\) approaches 3. Consider evaluating the function at the point \((x, y) = (12, 3)\) using the cosine function and substituting the values into the expression.
The text in the image is "5.12." This could represent a section or chapter number, or it might indicate numerical data such as a measurement or statistic. Without additional context, it's unclear what the number specifically refers to.
Transcribed Image Text:The text in the image is "5.12." This could represent a section or chapter number, or it might indicate numerical data such as a measurement or statistic. Without additional context, it's unclear what the number specifically refers to.
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