Let sin 3x сos 13лу = sin 3x + cos 13Ty = T(x) of the tangent line at (0, 2), then evaluate T(13). be the equation of a curve in the xy-plane. Find the equation y = T(13) =

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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Let 

\[
\sin 3\pi x \cos 13\pi y = \sin 3\pi x + \cos 13\pi y
\]

be the equation of a curve in the \(xy\)-plane. Find the equation \(y = T(x)\) of the tangent line at \(\left(0, \frac{1}{26}\right)\), then evaluate \(T'(13)\).

\(T(13) = \_\).
Transcribed Image Text:Let \[ \sin 3\pi x \cos 13\pi y = \sin 3\pi x + \cos 13\pi y \] be the equation of a curve in the \(xy\)-plane. Find the equation \(y = T(x)\) of the tangent line at \(\left(0, \frac{1}{26}\right)\), then evaluate \(T'(13)\). \(T(13) = \_\).
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