PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Maximization
Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.
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Chapter 10, Problem 15CR

a.

To determine

Tofind :the xy -trace of the equation.

a.

Expert Solution
Check Mark

Answer to Problem 15CR

The xy -trace of the equation is x2+(y−3)2=16 .

Explanation of Solution

Given information:

The equation is x2+(y−3)2+z2=16 .

Calculation:to find the xy -trace of the plane, substitute z=0 in the equation,

  x2+(y−3)2+z2=16x2+(y−3)2+(0)2=16    [substitute]x2+(y−3)2=16               [simplify]

From this xy -trace, the graph can be obtained as:

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 10, Problem 15CR , additional homework tip 1

b.

To determine

To find :the yz -trace of the equation.

b.

Expert Solution
Check Mark

Answer to Problem 15CR

The yz -trace of the equation is (y−3)2+z2=16 .

Explanation of Solution

Given information:

The equation is x2+(y−3)2+z2=16 .

Calculation: to find the yz -trace of the plane, substitute x=0 in the equation,

  x2+(y−3)2+z2=16(0)2+(y−3)2+z2=16    [substitute](y−3)2+z2=16               [simplify]

From this xy -trace, the graph can be obtained as:

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 10, Problem 15CR , additional homework tip 2

c.

To determine

To find :the xz -trace of the equation.

c.

Expert Solution
Check Mark

Answer to Problem 15CR

The xz -trace of the equation is x2+z2=7 .

Explanation of Solution

Given information:

The equation is x2+(y−3)2+z2=16 .

Calculation: to find the xz -trace of the plane, substitute y=0 in the equation,

  x2+(y−3)2+z2=16x2+(0−3)2+z2=16    [substitute]x2+z2=7               [simplify]

From this xy -trace, the graph can be obtained as:

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 10, Problem 15CR , additional homework tip 3

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Chapter 10, Problem 14CR
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Chapter 10, Problem 16CR

Chapter 10 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10E
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