thể cur dy w that dx 2y - 2х Зу - 2х %3D d the slope of the line tangent to the curve at each point on the curve where x = 6.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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6. Consider the curve defined by 2x+ 3y-4ry 36.
dy
2y - 2х
(a) Show that
%3D
dx
Зу - 2х
(b) Find the slope of the line tangent to the curve at each point on the curve where x = 6.
Transcribed Image Text:6. Consider the curve defined by 2x+ 3y-4ry 36. dy 2y - 2х (a) Show that %3D dx Зу - 2х (b) Find the slope of the line tangent to the curve at each point on the curve where x = 6.
NO CALCULATOR ALLOWED
(c) Find the positive value of x at which the curve has a vertical tangent line. Show the work that leads to yo
answer.
(d) Let x and y be functions of time t that are related by the equation 2x + 3y
- 4xy = 36. At time t = 1,
dy
is 4. Find the value of
dt
dx
at time t = 1.
dt
the value of x is 2, the value of y is -2, and the value of
Unauthorized copying or reuse of
any part of this page is Ulegal
-21-
GO ON TO THE NEYT RAGE
Transcribed Image Text:NO CALCULATOR ALLOWED (c) Find the positive value of x at which the curve has a vertical tangent line. Show the work that leads to yo answer. (d) Let x and y be functions of time t that are related by the equation 2x + 3y - 4xy = 36. At time t = 1, dy is 4. Find the value of dt dx at time t = 1. dt the value of x is 2, the value of y is -2, and the value of Unauthorized copying or reuse of any part of this page is Ulegal -21- GO ON TO THE NEYT RAGE
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