To determine The center and foci of the ellipse 2 x 2 + 3 y 2 − 8 x + 18 y + 29 = 0 . Explanation Definition used: The ellipse with center ( h , k ) and whose major axis parallel to x axis is ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 . The ellipse with center ( h , k ) and whose major axis parallel to y axis is ( y − k ) 2 a 2 + ( x − h ) 2 b 2 = 1 . Calculation: Rewrite 2 x 2 + 3 y 2 − 8 x + 18 y + 29 = 0 as, 2 x 2 − 8 x + 3 y 2 + 18 y + 29 = 0 2 ( x 2 − 4 x ) + 3 ( y 2 + 6 y ) = − 29 2 ( x 2 − 4 x + 4 ) + 3 ( y 2 + 6 y + 9 ) = 6 2 ( x − 2 ) 2 + 3 ( y + 3 ) 2 = 6 Simplify further as, 2 ( x − 2 ) 2 6 + 3 ( y + 3 ) 2 6 = 6 6 ( x − 2 ) 2 3 + ( y + 3 ) 2 2 = 1

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 21.7, Problem 1PE

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The center and foci of the ellipse 2x2+3y2−8x+18y+29=0.

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Chapter 21.6, Problem 54E

Chapter 21.7, Problem 1E

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The managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c. Question content area bottom Part 1 a. Develop a simple linear regression model between billable hours and overhead costs. Overhead Costsequals=212495.2212495.2plus+left parenthesis 42.4857 right parenthesis42.485742.4857times×Billable Hours (Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed. Do not include the $ symbol in your answers.) Part 2 b. Interpret the coefficients of your regression model. Specifically, what does the fixed component of the model mean to the consulting firm? Interpret the fixed term, b 0b0, if appropriate. Choose the correct answer below. A. The value of b 0b0 is the predicted billable hours for an overhead cost of 0 dollars. B. It is not appropriate to interpret b 0b0, because its value…

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Chapter 21 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

Ch. 21.1 - Find the distance between (−2, 6) and (5, −3). Ch. 21.1 - Prob. 2PE Ch. 21.1 - Prob. 1E Ch. 21.1 - Prob. 2E Ch. 21.1 - Prob. 5E Ch. 21.1 - In Exercises 5–14, find the distance between the...Ch. 21.1 - Prob. 7E Ch. 21.1 - Prob. 8E Ch. 21.1 - Prob. 9E Ch. 21.1 - Prob. 10E

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