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(a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is also tangent to a circle with center (18, 0) at x = 4. Find the equation of this circle. Recall that equations of circles have the form (x-a)2 + (y-b)² = ₁².

(a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is also tangent to a circle with center (18, 0) at x = 4. Find the equation of this circle. Recall that equations of circles have the form (x-a)2 + (y-b)² = ₁².

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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(a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is also tangent to a circle with center (18, 0) at x = 4. Find the equation of this circle. Recall that equations of circles have the form (x-a)² + (y−b)² = ².
Transcribed Image Text:(a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is also tangent to a circle with center (18, 0) at x = 4. Find the equation of this circle. Recall that equations of circles have the form (x-a)² + (y−b)² = ².
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