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Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Answered: Find the equations of the tangent lines…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 28E

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An interesting geometric model arises when one tries to determine the path of a pursuer chasing its prey. This path is called a curve of pursuit. These problems were analyzed using methods of calculus circa 1730 (more than two centuries after Leonardo da Vinci had considered them). The simplest problem is to find the curve along which a vessel moves in pursuing another vessel that flees along a straight line, assuming the speeds of the two vessels are constant.Let’s assume that vessel A, traveling at a speed a, is pursuing vessel B, which is traveling at a speed b. In addition, assume that vessel A begins (at time t = 0) at the origin and pursues vessel B, which begins at the point (1, 0) and travels up the line x = 1. After t hours, vessel A is located at the point P = 1x, y2, and vessel B is located at the point Q = 11, bt2 (see Figure 3.18). The goal is to describe the locus of points P; that is, to find y as a function of x. Please look at images for questions. The formatting isn't…
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Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and sketch this graph and the tangent lines. UnaUnaUnaUnaUnal П □