Explanation Definition used: Identifying a Conic Section from the Second-degree Equation: The second degree equation is of the form A x 2 + B x y + C y 2 + D x + E y + F = 0 . 1. If A = C , B = 0 , a circle . 2. If A ≠ C ( Same sign ) , B = 0 , an ellipse . 3. If A and C have different signs , B = 0 , a hyperbola . 4. If A = 0 , C = 0 , B ≠ 0 , a hyperbola . 5. If either A = 0 or C = 0 ( both not both ) , B = 0 , a parabola . Calculation: Rewrite x 2 = 8 ( y − x − 2 ) as, x 2 = 8 y − 8 x − 16 x 2 − 8 y + 8 x + 16 = 0 Note that, x 2 − 8 y + 8 x + 16 = 0 is of the form A x 2 + B x y + C y 2 + D x + E y + F = 0 where A = 1 , B = 0 , C = 0 , D = 8 , E = − 8 , F = 16 . It can be observed that A = 1 , C = 0 and B = 0 . From the above definition, it can be concluded that the equation x 2 = 8 ( y − x − 2 ) represents a parabola

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780134434636

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 21.8, Problem 25E

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The type of curve represented by the equation x2=8(y−x−2) and sketch the curve.

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Chapter 21.8, Problem 24E

Chapter 21.8, Problem 26E

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Chapter 21 Solutions

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

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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The type of curve represented by the equation x 2 = 8 ( y − x − 2 ) and sketch the curve.

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The type of curve represented by the equation x2=8(y−x−2) and sketch the curve.

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Chapter 21 Solutions