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Find an equation of the tangent line to the curve at the given point. x? (3,9) (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.) equation of the tangent line:

Find an equation of the tangent line to the curve at the given point. x? (3,9) (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.) equation of the tangent line:

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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**Problem Statement:** Find an equation of the tangent line to the curve at the given point. \[ e^{x^2 - y} = \frac{x^2}{y}, \quad (3, 9) \] (Express numbers in exact form. Use symbolic notation and fractions where needed. Let \( y = f(x) \) and give the equation in terms of \( y \) and \( x \).) **Solution:** [Box for answer input] **Note:** This problem involves finding the equation of a tangent line to a given curve at a specific point. The curve is described by the equation \( e^{x^2 - y} = \frac{x^2}{y} \), and the specific point of interest is \((3, 9)\). The task requires expressing the numbers in exact form using symbolic notation and fractions, providing the resulting tangent line equation in terms of \( y \) and \( x \).
Transcribed Image Text:**Problem Statement:** Find an equation of the tangent line to the curve at the given point. \[ e^{x^2 - y} = \frac{x^2}{y}, \quad (3, 9) \] (Express numbers in exact form. Use symbolic notation and fractions where needed. Let \( y = f(x) \) and give the equation in terms of \( y \) and \( x \).) **Solution:** [Box for answer input] **Note:** This problem involves finding the equation of a tangent line to a given curve at a specific point. The curve is described by the equation \( e^{x^2 - y} = \frac{x^2}{y} \), and the specific point of interest is \((3, 9)\). The task requires expressing the numbers in exact form using symbolic notation and fractions, providing the resulting tangent line equation in terms of \( y \) and \( x \).
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