The equation below defines y implicitly as a function of x: 2x2 + xy = 3y2 Use the equation to answer the questions below. A) Find dy/dx using implicit differentiation. SHOW WORK. B) What is the slope of the tangent line at the point (1, 1)? SHOW WORK. C) What is the equation of the tangent line to the graph at the point (1, 1)? Put answer in the form y = mx + b and SHOW WORK.

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
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Problem 18A: For each exercise, functions of two angles are given. Which of the functions of the two angles is...
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The equation below defines y implicitly as a function of x:
2x2 + xy = 3y2
Use the equation to answer the questions below.
A) Find dy/dx using implicit differentiation. SHOW WORK.
B) What is the slope of the tangent line at the point (1, 1)? SHOW WORK.
C) What is the equation of the tangent line to the graph at the point (1, 1)? Put answer in the form y = mx + b and SHOW WORK.
Transcribed Image Text:The equation below defines y implicitly as a function of x: 2x2 + xy = 3y2 Use the equation to answer the questions below. A) Find dy/dx using implicit differentiation. SHOW WORK. B) What is the slope of the tangent line at the point (1, 1)? SHOW WORK. C) What is the equation of the tangent line to the graph at the point (1, 1)? Put answer in the form y = mx + b and SHOW WORK.
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