Explanation Given: The equation of ellipse: ( x − 3.6 ) 2 14.98 + ( y − 5.3 ) 2 28.98 = 1 Formula used: Equation of an ellipse with center at ( h , k ) is: ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 Where, a and b are greater than zero. Calculation: Consider the equation, ( x − 3.6 ) 2 14.98 + ( y − 5.3 ) 2 28.98 = 1 To use the graphing utility, first solve the given equation for y as below: ( y − 5.3 ) 2 28.98 = 1 − ( x − 3.6 ) 2 14.98 ( y − 5.3 ) 2 = 28.98 ( 1 − ( x − 3.6 ) 2 14.98 ) y − 5.3 = ± 28.98 ( 1 − ( x − 3.6 ) 2 14

8th Edition

ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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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 9.3, Problem 33E

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To calculate: The four intercepts for ellipse (x−3.6)214.98+(y−5.3)228.98=1 by graphing utility.

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Chapter 9.3, Problem 32E

Chapter 9.3, Problem 34E

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Answer the number questions with the following answers +/- 2 sqrt(2) +/- i sqrt(6) (-3 +/-3 i sqrt(3))/4 +/-1 +/- sqrt(6) +/- 2/3 sqrt(3) 4 -3 +/- 3 i sqrt(3)

1 Matching 10 points Factor and Solve 1)x3-216 0, x = {6,[B]} 2) 16x3 = 54 x-[3/2,[D]] 3)x4x2-42 0 x= [ +/-isqrt(7), [F] } 4)x+3-13-9x x=[+/-1.[H]] 5)x38x2+16x=0, x = {0,[K}} 6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3)) 7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}} 8) 5x³-3x²+32x=2x+18 x = {3/5, [S]} [B] [D] [F] [H] [K] [M] [Q] +/-2 sqrt(2) +/- i sqrt(6) (-3+/-3 i sqrt(3))/4 +/- 1 +/-sqrt(6) +/- 2/3 sqrt(3) 4 -3 +/- 3 i sqrt(3) [S]

The only problems I need help with ae the last 8 ones, Thanks

Chapter 9 Solutions

Intermediate Algebra (8th Edition)

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The four intercepts for ellipse ( x − 3.6 ) 2 14.98 + ( y − 5.3 ) 2 28.98 = 1 by graphing utility.

Solution Summary: The author explains how to calculate the four intercepts for an ellipse by graphing utility.

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To calculate: The four intercepts for ellipse (x−3.6)214.98+(y−5.3)228.98=1 by graphing utility.

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Chapter 9 Solutions