Suppose we follow Sir Isaac Barrow's method of finding the tangent implicitly for the circle with equation x² + y²2 = 9. That is, we replace (x, y) by (x - e, y -a), use the fact that (x, y) belongs to the circle, and then treat certain expressions as "infinitely small" and hence discard them in the equation. After having done all of these, you must arrive at which equation? Ox²2ex + y² - 2ay=0 O-2ex - 2ay = 9 -2ex - 2ay = 0 e² 2ex + a² - 2ay = 0

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 31E: Suppose that the circle with center 0, 0 and radius length r contains the point a,b. Find the slope...
Question
Suppose we follow Sir Isaac Barrow's method of finding the tangent implicitly for the circle with
equation x² + y² = 9. That is, we replace (x, y) by (x — e, y — a), use the fact that (x, y)
belongs to the circle, and then treat certain expressions as "infinitely small" and hence discard
them in the equation. After having done all of these, you must arrive at which equation?
Ox²2ex + y² - 2ay = 0
-2ex - 2ay=9
-2ex - 2ay=0
O e² 2ex + a²
- 2ay = 0
-
Transcribed Image Text:Suppose we follow Sir Isaac Barrow's method of finding the tangent implicitly for the circle with equation x² + y² = 9. That is, we replace (x, y) by (x — e, y — a), use the fact that (x, y) belongs to the circle, and then treat certain expressions as "infinitely small" and hence discard them in the equation. After having done all of these, you must arrive at which equation? Ox²2ex + y² - 2ay = 0 -2ex - 2ay=9 -2ex - 2ay=0 O e² 2ex + a² - 2ay = 0 -
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