Question 8 Find the coordinates of the point(s) on the curve y = Va + 4 that are closest to the point (5, 0). (:) а) О (0, 2) and b) О (1, у5) V38 11 c) O 2 2 /34 d) O 2 e) О (9, V13)

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 8**

Find the coordinates of the point(s) on the curve \( y = \sqrt{x + 4} \) that are closest to the point \( (5, 0) \).

a) \( (0, 2) \) and \( \left( \frac{9}{4}, \frac{5}{2} \right) \)

b) \( (1, \sqrt{5}) \)

c) \( \left( \frac{11}{2}, \frac{\sqrt{38}}{2} \right) \)

d) \( \left( \frac{9}{2}, \frac{\sqrt{34}}{2} \right) \)

e) \( (9, \sqrt{13}) \)
Transcribed Image Text:**Question 8** Find the coordinates of the point(s) on the curve \( y = \sqrt{x + 4} \) that are closest to the point \( (5, 0) \). a) \( (0, 2) \) and \( \left( \frac{9}{4}, \frac{5}{2} \right) \) b) \( (1, \sqrt{5}) \) c) \( \left( \frac{11}{2}, \frac{\sqrt{38}}{2} \right) \) d) \( \left( \frac{9}{2}, \frac{\sqrt{34}}{2} \right) \) e) \( (9, \sqrt{13}) \)
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