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The following implicit function describes the equation of an ellipse centered at the origin: 92 + 92 6² = 1 If we assume that a= 2 and that b=5, calculate the numerical value of the gradient of the tangent (i.e. the instantaneous rate of change) for the ellipse at point x = 1 and when the corresponding coordinate on the y-axis is positive. Give your answer using 2 decimal places.

The following implicit function describes the equation of an ellipse centered at the origin: 92 + 92 6² = 1 If we assume that a= 2 and that b=5, calculate the numerical value of the gradient of the tangent (i.e. the instantaneous rate of change) for the ellipse at point x = 1 and when the corresponding coordinate on the y-axis is positive. Give your answer using 2 decimal places.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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The following implicit function describes the equation of an ellipse centered at the origin: 92 + 92 6² = 1 If we assume that a= 2 and that b=5, calculate the numerical value of the gradient of the tangent (i.e. the instantaneous rate of change) for the ellipse at point x = 1 and when the corresponding coordinate on the y-axis is positive. Give your answer using 2 decimal places.
Transcribed Image Text:The following implicit function describes the equation of an ellipse centered at the origin: 92 + 92 6² = 1 If we assume that a= 2 and that b=5, calculate the numerical value of the gradient of the tangent (i.e. the instantaneous rate of change) for the ellipse at point x = 1 and when the corresponding coordinate on the y-axis is positive. Give your answer using 2 decimal places.
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