Precalculus with Limits: A Graphing Approach
Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Chapter 9, Problem 33RE

a.

To determine

Calculate the standard form of the equation of the ellipse.

a.

Expert Solution
Check Mark

Answer to Problem 33RE

The standard form of equation is (x+2)225+(y150)24=1 .

Explanation of Solution

Given:

It is given in the question that the expression is 3x2+8y2+12x112y+403=0 .

Concept Used:

In this, use the concept of ellipse and the standard equation be (xh)2b2+(yk)2a2=1 .

Calculation: Here, the expression is 4x2+25y2+16x150y+141=0

Now,

  (xh)2b2+(yk)2a2=1(x+2)213+(y7)218=1

Conclusion:

The standard form of equation is (x+2)213+(y7)218=1 .

b.

To determine

Calculate the center, vertices, foci and eccentricity of the ellipse.

b.

Expert Solution
Check Mark

Answer to Problem 33RE

The centre, vertices, foci and eccentricity are (2,7),(2±33,7),(2±3012,7)and104 .

Explanation of Solution

Given: It is given in the question that the standard form is (x+2)225+(y150)24=1 .

Concept Used:

In this, use the concept of ellipse and understanding the standard equation and get the result.

Calculation: Here, the equation is (x+2)225+(y150)24=1 .

Here, centre = (2,7)

Since, it a horizontal major axis with a=(1/3)(1/2),b=(1/8)(1/2)

Now, the vertices will be (h±a,k)=(2±33,7) .

Now, c will be c=a2b2=(13)2(18)2=524=3012

Now, the foci will be (h±c,k)=(2±3012,7) .

And the eccentricity is e=ca=301213=104 .

Conclusion:

The centre, vertices, foci and eccentricity are (2,7),(2±33,7),(2±3012,7)and104 .

c.

To determine

Draw the graph of the ellipse.

c.

Expert Solution
Check Mark

Explanation of Solution

Given: It is given in the question that the expression is 3x2+8y2+12x112y+403=0 .

Graph:

  Precalculus with Limits: A Graphing Approach, Chapter 9, Problem 33RE

Interpretation:

Here, the expression is 3x2+8y2+12x112y+403=0 ,Put that expression in the graphing calculator, it will give the required graph in right way and in the figure it is shown that the centre will be (2,7) .

Chapter 9 Solutions

Precalculus with Limits: A Graphing Approach

Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Prob. 39ECh. 9.1 - Prob. 40ECh. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Prob. 54ECh. 9.1 - Prob. 55ECh. 9.1 - Prob. 56ECh. 9.1 - Prob. 57ECh. 9.1 - Prob. 58ECh. 9.1 - Prob. 59ECh. 9.1 - Prob. 60ECh. 9.1 - Prob. 61ECh. 9.1 - Prob. 62ECh. 9.1 - Prob. 63ECh. 9.1 - 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Prob. 77ECh. 9.7 - Prob. 78ECh. 9.7 - Prob. 79ECh. 9.7 - Prob. 80ECh. 9.7 - Prob. 81ECh. 9.7 - Prob. 82ECh. 9.7 - Prob. 83ECh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - Prob. 38RECh. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - Prob. 46RECh. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 - Prob. 51RECh. 9 - Prob. 52RECh. 9 - Prob. 53RECh. 9 - Prob. 54RECh. 9 - Prob. 55RECh. 9 - Prob. 56RECh. 9 - Prob. 57RECh. 9 - Prob. 58RECh. 9 - Prob. 59RECh. 9 - Prob. 60RECh. 9 - Prob. 61RECh. 9 - Prob. 62RECh. 9 - Prob. 63RECh. 9 - Prob. 64RECh. 9 - Prob. 65RECh. 9 - Prob. 66RECh. 9 - Prob. 67RECh. 9 - Prob. 68RECh. 9 - Prob. 69RECh. 9 - Prob. 70RECh. 9 - Prob. 71RECh. 9 - Prob. 72RECh. 9 - Prob. 73RECh. 9 - Prob. 74RECh. 9 - Prob. 75RECh. 9 - Prob. 76RECh. 9 - Prob. 77RECh. 9 - Prob. 78RECh. 9 - Prob. 79RECh. 9 - Prob. 80RECh. 9 - Prob. 81RECh. 9 - Prob. 82RECh. 9 - Prob. 83RECh. 9 - Prob. 84RECh. 9 - Prob. 85RECh. 9 - Prob. 86RECh. 9 - Prob. 87RECh. 9 - Prob. 88RECh. 9 - Prob. 89RECh. 9 - Prob. 90RECh. 9 - Prob. 91RECh. 9 - Prob. 92RECh. 9 - Prob. 93RECh. 9 - Prob. 94RECh. 9 - Prob. 95RECh. 9 - Prob. 96RECh. 9 - Prob. 97RECh. 9 - Prob. 98RECh. 9 - Prob. 99RECh. 9 - Prob. 100RECh. 9 - Prob. 101RECh. 9 - Prob. 102RECh. 9 - Prob. 103RECh. 9 - Prob. 104RECh. 9 - Prob. 105RECh. 9 - Prob. 106RECh. 9 - Prob. 107RECh. 9 - Prob. 108RECh. 9 - Prob. 109RECh. 9 - Prob. 110RECh. 9 - Prob. 111RECh. 9 - Prob. 112RECh. 9 - Prob. 113RECh. 9 - Prob. 114RECh. 9 - Prob. 115RECh. 9 - Prob. 116RECh. 9 - Prob. 117RECh. 9 - Prob. 118RECh. 9 - Prob. 119RECh. 9 - Prob. 120RECh. 9 - Prob. 121RECh. 9 - Prob. 122RECh. 9 - Prob. 123RECh. 9 - Prob. 124RECh. 9 - Prob. 125RECh. 9 - Prob. 126RECh. 9 - Prob. 127RECh. 9 - Prob. 128RECh. 9 - Prob. 129RECh. 9 - Prob. 130RECh. 9 - Prob. 131RECh. 9 - Prob. 132RECh. 9 - Prob. 133RECh. 9 - Prob. 134RECh. 9 - Prob. 135RECh. 9 - Prob. 136RECh. 9 - Prob. 137RECh. 9 - Prob. 138RECh. 9 - Prob. 139RECh. 9 - Prob. 140RECh. 9 - Prob. 141RECh. 9 - Prob. 142RECh. 9 - Prob. 143RECh. 9 - Prob. 144RECh. 9 - Prob. 145RECh. 9 - Prob. 146RECh. 9 - Prob. 147RECh. 9 - Prob. 148RECh. 9 - Prob. 149RECh. 9 - Prob. 150RECh. 9 - Prob. 151RECh. 9 - Prob. 152RECh. 9 - Prob. 153RECh. 9 - Prob. 154RECh. 9 - Prob. 155RECh. 9 - Prob. 156RECh. 9 - Prob. 157RECh. 9 - Prob. 158RECh. 9 - Prob. 1CTCh. 9 - Prob. 2CTCh. 9 - Prob. 3CTCh. 9 - Prob. 4CTCh. 9 - Prob. 5CTCh. 9 - Prob. 6CTCh. 9 - Prob. 7CTCh. 9 - Prob. 8CTCh. 9 - Prob. 9CTCh. 9 - Prob. 10CTCh. 9 - Prob. 11CTCh. 9 - Prob. 12CTCh. 9 - Prob. 13CTCh. 9 - Prob. 14CTCh. 9 - Prob. 15CTCh. 9 - Prob. 16CTCh. 9 - Prob. 17CTCh. 9 - Prob. 18CTCh. 9 - Prob. 19CTCh. 9 - Prob. 20CTCh. 9 - Prob. 21CTCh. 9 - Prob. 22CTCh. 9 - Prob. 23CTCh. 9 - Prob. 24CTCh. 9 - Prob. 25CTCh. 9 - Prob. 1CLTCh. 9 - Prob. 2CLTCh. 9 - Prob. 3CLTCh. 9 - Prob. 4CLTCh. 9 - Prob. 5CLTCh. 9 - Prob. 6CLTCh. 9 - Prob. 7CLTCh. 9 - Prob. 8CLTCh. 9 - Prob. 9CLTCh. 9 - Prob. 10CLTCh. 9 - Prob. 11CLTCh. 9 - Prob. 12CLTCh. 9 - Prob. 13CLTCh. 9 - Prob. 14CLTCh. 9 - Prob. 15CLTCh. 9 - Prob. 16CLTCh. 9 - Prob. 17CLTCh. 9 - Prob. 18CLTCh. 9 - Prob. 19CLTCh. 9 - Prob. 20CLTCh. 9 - Prob. 21CLTCh. 9 - Prob. 22CLTCh. 9 - Prob. 23CLTCh. 9 - Prob. 24CLTCh. 9 - Prob. 25CLTCh. 9 - Prob. 26CLTCh. 9 - Prob. 27CLTCh. 9 - Prob. 28CLTCh. 9 - Prob. 29CLTCh. 9 - Prob. 30CLTCh. 9 - Prob. 31CLTCh. 9 - Prob. 32CLTCh. 9 - Prob. 33CLTCh. 9 - Prob. 34CLTCh. 9 - Prob. 35CLTCh. 9 - Prob. 36CLTCh. 9 - Prob. 37CLTCh. 9 - Prob. 38CLTCh. 9 - Prob. 39CLTCh. 9 - Prob. 40CLTCh. 9 - Prob. 41CLTCh. 9 - Prob. 42CLTCh. 9 - Prob. 43CLTCh. 9 - Prob. 44CLTCh. 9 - Prob. 45CLTCh. 9 - Prob. 46CLTCh. 9 - Prob. 47CLTCh. 9 - Prob. 48CLTCh. 9 - Prob. 49CLTCh. 9 - Prob. 50CLTCh. 9 - Prob. 51CLTCh. 9 - Prob. 52CLTCh. 9 - Prob. 53CLTCh. 9 - Prob. 54CLTCh. 9 - Prob. 55CLT
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