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Find an equation for the line in the xy-plane that is tangent and normal to the curve x³y² + y² = x + y at the points (1, 1) and (1,-1). Also, find the value of d'y/dx² at this point.

Find an equation for the line in the xy-plane that is tangent and normal to the curve x³y² + y² = x + y at the points (1, 1) and (1,-1). Also, find the value of d'y/dx² at this point.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Find an equation for the line in the xy-plane that is tangent and normal to the curve x³y² + y² = x + y at the points (1, 1) and (1, -1). Also, find the value of dy/dx² at this point.
Transcribed Image Text:Find an equation for the line in the xy-plane that is tangent and normal to the curve x³y² + y² = x + y at the points (1, 1) and (1, -1). Also, find the value of dy/dx² at this point.
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