7. A curve in the zy-plane is described by the equation 2y(x − 1)² – xy² + 1 = 0. (a) Determine whether any of the points (x,y) = (1,0), (2,0), (1, 1), (2, 1) and (2,2) lie on the graph of this function. (b) For which of the points determined in (a) does the equation define y as an implicit dy function of r? Justify your answer. Evaluate the slope of this implicit function at dx these points.
7. A curve in the zy-plane is described by the equation 2y(x − 1)² – xy² + 1 = 0. (a) Determine whether any of the points (x,y) = (1,0), (2,0), (1, 1), (2, 1) and (2,2) lie on the graph of this function. (b) For which of the points determined in (a) does the equation define y as an implicit dy function of r? Justify your answer. Evaluate the slope of this implicit function at dx these points.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Need part B.
Transcribed Image Text:7. A curve in the xy-plane is described by the equation 2y(x - 1) - xy² + 1 = 0.
(a) Determine whether any of the points (x, y) = (1,0), (2,0), (1, 1), (2, 1) and (2,2) lie
on the graph of this function.
(b) For which of the points determined in (a) does the equation define y as an implicit
dy
function of a? Justify your answer. Evaluate the slope of this implicit function at
dx
these points.
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