Find the coordinates of the point(s) on the curve 2y = 10 – a² that are closest to the origin. а) О (0, 5), (2V2, 1) and (-2/2, 1) (1.2) b) О с) О (2/2, 1) and (-2/2, 1) d) O (2/2, 1)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question 7**

Find the coordinates of the point(s) on the curve \(2y = 10 - x^2\) that are closest to the origin.

a) \( (0, 5), (2\sqrt{2}, 1) \) and \( (-2\sqrt{2}, 1) \)

b) \( \left(1, \frac{9}{2}\right) \)

c) \( (2\sqrt{2}, 1) \) and \( (-2\sqrt{2}, 1) \)

d) \( (2\sqrt{2}, 1) \)

e) \( (-2\sqrt{2}, 1) \)
Transcribed Image Text:**Question 7** Find the coordinates of the point(s) on the curve \(2y = 10 - x^2\) that are closest to the origin. a) \( (0, 5), (2\sqrt{2}, 1) \) and \( (-2\sqrt{2}, 1) \) b) \( \left(1, \frac{9}{2}\right) \) c) \( (2\sqrt{2}, 1) \) and \( (-2\sqrt{2}, 1) \) d) \( (2\sqrt{2}, 1) \) e) \( (-2\sqrt{2}, 1) \)
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