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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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