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Which point or points on the ellipse x?+4y² = 4 are furthest away from the point (0, 1)? [Hint 1: "furthest away from" means "at maximal distance from" – so this question is about maximizing something.] [Hint 2: a varying positive quantity d(x) achieves its maximum and minimum values in the same locations as (d(x))² does – and sometimes it's easier to work with the second expression.]

Which point or points on the ellipse x?+4y² = 4 are furthest away from the point (0, 1)? [Hint 1: "furthest away from" means "at maximal distance from" – so this question is about maximizing something.] [Hint 2: a varying positive quantity d(x) achieves its maximum and minimum values in the same locations as (d(x))² does – and sometimes it's easier to work with the second expression.]

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 17RE
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Which point or points on the ellipse x?+4y? = 4 are furthest away from the point (0, 1)? [Hint 1: "furthest away from" means "at maximal distance from" – so this question is about maximizing something.] [Hint 2: a varying positive quantity d(x) achieves its maximum and minimum values in the same locations as (d(x))2 does – and sometimes it's easier to work with the second expression.] |
Transcribed Image Text:Which point or points on the ellipse x?+4y? = 4 are furthest away from the point (0, 1)? [Hint 1: "furthest away from" means "at maximal distance from" – so this question is about maximizing something.] [Hint 2: a varying positive quantity d(x) achieves its maximum and minimum values in the same locations as (d(x))2 does – and sometimes it's easier to work with the second expression.] |
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