5) Find the points on the graph of y=9-x² that are closest to (0, 3). (Hint: If you are stumped take a look at this video https://www.youtube.com/watch?v=UGIOHXM_tfE to see a problem of this type.)
5) Find the points on the graph of y=9-x² that are closest to (0, 3). (Hint: If you are stumped take a look at this video https://www.youtube.com/watch?v=UGIOHXM_tfE to see a problem of this type.)
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
![plug
S) Find the points on the graph of y=9-x² that are closest to (0, 3). (Hint: If you are stumped take a look at
this video https://www.youtube.com/watch?v=uGIOHXm tfE to see a problem of this type.)
roA)
Primary equation:
d%=DVrx-0)²+(y-3)
constraint
secondary equation
2.
C0.3)
Subfor y
pnt
BO
Pn.
%D
d=V Cx-0)-+(9-x²)- 3 )²
(7)
d=V x2+ (6-x²)2
%3D
d=DVx4_11x²+36
closest to Co3
need to be minimuum
f(X)= x4-11x²+36
3
FI(X)=4X- 22X3D0
2x ( 2x²-11)=0
2×3D0
2x²-113D0
X-0
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc82b0f05-2033-4339-b314-7c627e3238ac%2Fbc15e2ad-7b15-4939-88b8-7189bd394847%2Fub2c6aa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:plug
S) Find the points on the graph of y=9-x² that are closest to (0, 3). (Hint: If you are stumped take a look at
this video https://www.youtube.com/watch?v=uGIOHXm tfE to see a problem of this type.)
roA)
Primary equation:
d%=DVrx-0)²+(y-3)
constraint
secondary equation
2.
C0.3)
Subfor y
pnt
BO
Pn.
%D
d=V Cx-0)-+(9-x²)- 3 )²
(7)
d=V x2+ (6-x²)2
%3D
d=DVx4_11x²+36
closest to Co3
need to be minimuum
f(X)= x4-11x²+36
3
FI(X)=4X- 22X3D0
2x ( 2x²-11)=0
2×3D0
2x²-113D0
X-0
2.
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