In Exercises 111–116, find equations for the lines that are tangent and normal to the curve at the given point. 111. x2 + 2y2 = 9, (1, 2) 112. ex + y2 = 2, (0, 1) 113. xy + 2x - 5y = 2, (3, 2) 114. (y - x)2 = 2x + 4, (6, 2) 115. x + sqrt(xy) = 6, (4, 1) 116. x^(3/2) + 2y^(3/2) = 17, (1, 4)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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In Exercises 111–116, find equations for the lines that are tangent and normal to the curve at the given point.

111. x2 + 2y2 = 9, (1, 2)

112. ex + y2 = 2, (0, 1)

113. xy + 2x - 5y = 2, (3, 2)

114. (y - x)2 = 2x + 4, (6, 2)

115. x + sqrt(xy) = 6, (4, 1)

116. x^(3/2) + 2y^(3/2) = 17, (1, 4)

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