Answered: of a, b, c, and d. 77. For what values…

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,

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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Question

100%

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

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

Step 2

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

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

m=-2

Step 3

By equating both slopes of tangent ,we get

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

Step by step

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