Assuming that the equations define x and y implicitly as differentiable functions x = f(t), y = g(t), find the slope of the curve x = f(t), y = g(t) at the given value of t. x=t+t, y + 3t = 3x +t², t=3 The slope of the curve at t=3 is (Type an integer or a simplified fraction.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 39E
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Assuming that the equations define x and y implicitly as differentiable functions x = f(t). y = g(t), find the slope of the curve x = f(t), y = g(t) at the given value of t.
x=t+t₁ y + 3t = 3x+t², t=3
The slope of the curve at t= 3 is
(Type an integer or a simplified fraction.)
Transcribed Image Text:Assuming that the equations define x and y implicitly as differentiable functions x = f(t). y = g(t), find the slope of the curve x = f(t), y = g(t) at the given value of t. x=t+t₁ y + 3t = 3x+t², t=3 The slope of the curve at t= 3 is (Type an integer or a simplified fraction.)
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