There are two tangent lines to the curve y %3D x+ 1 that are parallel to the line x - 2y = 2. Find either one of the them and put it in the form y = mx + b. Ente- the valu. | the ansver bov belew.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 35E
icon
Related questions
Question
There are two tangent lines to the curve
y
%3D
x+ 1
that are parallel to the line x - 2y = 2. Find either one of the them and put it in the form y = mx + b. Ente- the
valu.
|
the ansver bov belew.
Transcribed Image Text:There are two tangent lines to the curve y %3D x+ 1 that are parallel to the line x - 2y = 2. Find either one of the them and put it in the form y = mx + b. Ente- the valu. | the ansver bov belew.
Expert Solution
Step 1

We first find dy/dx suing quotient rule

Calculus homework question answer, step 1, image 1

 

 

Step 2

If the tangent is parallel to x-2y=2 then the slope of the tangent will be equal to the slope of x-2y=2

Calculus homework question answer, step 2, image 1

Slope of x-2y=2 is =1/2

 

Step 3

Then we equate the slopes and find x

Calculus homework question answer, step 3, image 1

 

steps

Step by step

Solved in 5 steps with 7 images

Blurred answer
Knowledge Booster
Implicit Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage