3. For the curve x – xy² = 8e²4, do the following | a) Verify that the point (2,0) is on this curve.

Calculus: Early Transcendentals
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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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**3. For the curve \(x^3 - xy^2 = 8e^{2y}\), do the following.**

a) Verify that the point \((2, 0)\) is on this curve.

b) Find an expression for \(\frac{dy}{dx}\) on this curve.

c) Find an equation for the tangent line to the curve at \((2, 0)\).
Transcribed Image Text:**3. For the curve \(x^3 - xy^2 = 8e^{2y}\), do the following.** a) Verify that the point \((2, 0)\) is on this curve. b) Find an expression for \(\frac{dy}{dx}\) on this curve. c) Find an equation for the tangent line to the curve at \((2, 0)\).
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