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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
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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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