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.)

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.)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 45E

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Question

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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