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Consider the set C = {(x, y) E R | x-xy 2). (a) Show that C is a curve. (b) Find a parametrisation of C whose image includes the point (-1,1). Be sure to specify the domain of your parametrisation. (c) Find the tangent line to C at (-1,1).

Consider the set C = {(x, y) E R | x-xy 2). (a) Show that C is a curve. (b) Find a parametrisation of C whose image includes the point (-1,1). Be sure to specify the domain of your parametrisation. (c) Find the tangent line to C at (-1,1).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Consider the set C = {(x, y) e R x² - xy = 2). (a) Show that C is a curve. (b) Find a parametrisation of C whose image includes the point (-1, 1). Be sure to specify the domain of your parametrisation. (c) Find the tangent line to C at (-1, 1).
Transcribed Image Text:Consider the set C = {(x, y) e R x² - xy = 2). (a) Show that C is a curve. (b) Find a parametrisation of C whose image includes the point (-1, 1). Be sure to specify the domain of your parametrisation. (c) Find the tangent line to C at (-1, 1).
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