Assuming that the equation defines 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. x³ + 31? = 49, 2y° - 31? = 6, t = 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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HW #17

Assuming that the equation defines 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.
%3D
x° + 3t = 49, 2y - 31 = 6, t= 4
.....
The slope of the curve at t= 4 is
(Type an integer or simplified fraction.)
Transcribed Image Text:Assuming that the equation defines 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. %3D x° + 3t = 49, 2y - 31 = 6, t= 4 ..... The slope of the curve at t= 4 is (Type an integer or simplified fraction.)
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