Consider the function. f(x) = 12 – x² on the closed interval [0, v12]. %3D The curve y = f(x) is drawn on the figure below (blue). A point (x, y) is on the curve. 13 y=f{x) (x, y) (8,6) 110 4,0 F1 -1 Write a function to compute the distance d from the point (0, 6) to the point (x, y) as a function of x. What point (x, y) on the curve y = f(x) is closest to the point (0, 6)? Y =

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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Consider the function.
f(x) = 12 – on the closed interval [0, v12].
The curve y =
f(x) is drawn on the figure below (blue). A point (x, y) is on the curve.
13
y=f{x)
(x, y)
(8,6)
110
F1
4,0
-1
Write a function to compute the distance d from the point (0, 6) to the point (x, y) as
a function of x.
What point (x, y) on the curve y = f(x) is closest to the point (0, 6)?
y =
Transcribed Image Text:Consider the function. f(x) = 12 – on the closed interval [0, v12]. The curve y = f(x) is drawn on the figure below (blue). A point (x, y) is on the curve. 13 y=f{x) (x, y) (8,6) 110 F1 4,0 -1 Write a function to compute the distance d from the point (0, 6) to the point (x, y) as a function of x. What point (x, y) on the curve y = f(x) is closest to the point (0, 6)? y =
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