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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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The image contains a mathematical expression written on a whiteboard: \[ \ln \left( \frac{1}{6e^2} \right) \] ### Explanation: This expression represents the natural logarithm of the fraction \(\frac{1}{6e^2}\). - **\(\ln\)** denotes the natural logarithm, which is the logarithm to the base \(e\), where \(e\) is approximately equal to 2.71828. - **\(6e^2\)** is the denominator of the fraction inside the logarithm. \(e^2\) indicates that the mathematical constant \(e\) is raised to the power of 2, and the entire expression is multiplied by 6. This is often used in mathematical contexts, especially in calculus and exponential growth/decay problems.
Transcribed Image Text:The image contains a mathematical expression written on a whiteboard: \[ \ln \left( \frac{1}{6e^2} \right) \] ### Explanation: This expression represents the natural logarithm of the fraction \(\frac{1}{6e^2}\). - **\(\ln\)** denotes the natural logarithm, which is the logarithm to the base \(e\), where \(e\) is approximately equal to 2.71828. - **\(6e^2\)** is the denominator of the fraction inside the logarithm. \(e^2\) indicates that the mathematical constant \(e\) is raised to the power of 2, and the entire expression is multiplied by 6. This is often used in mathematical contexts, especially in calculus and exponential growth/decay problems.
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