of a, b, c, and d. 77. For what values of a and b is the line 2x + y = b tangent to the parabola y = ax' when x = 2? %D 85,

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a, b, c, and d.
77. For what values of a and b is the line 2x + y = b tangent to the
parabola y = ax' when x =
2?
%D
85,
Transcribed Image Text:of a, b, c, and d. 77. For what values of a and b is the line 2x + y = b tangent to the parabola y = ax' when x = 2? %D 85,
Expert Solution
Step 1

Given curve is 

Calculus homework question answer, step 1, image 1

We know that slope of tangent to curve y=f(x) at x=a is value of dy/dx at x=a

Therefore, slope of tangent to given curve at x=2 is 

Calculus homework question answer, step 1, image 2

Step 2

Now equation of tangent to given curve at x=2 is 

Calculus homework question answer, step 2, image 1

By comparing it with equation y=mx+c, we get

m=-2

Step 3

By equating both slopes of tangent ,we get

Calculus homework question answer, step 3, image 1

Now, we will y-coordinate of point whose x-coordinate is 2

Calculus homework question answer, step 3, image 2

 

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