Explanation Given: The parametric equations of a plane curve are x = 3 t and y = t − 1 and the interval for t is ( − ∞ , ∞ ) if t ≠ − 2 . Concept used: “Parametric Equations of a Plane Curve: A plane curve is a set of points ( x , y ) such that x = f ( t ) , y = g ( t ) , and f and g are both continuous on an interval I . The equations x = f ( t ) and y = g ( t ) are parametric equations with parameter t .” Calculation: The given equations are as below: x = t + 2 ( 1 ) y = 1 t + 2 ( 2 ) The value of t is calculated from equation (1)

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ISBN: 9780134696522

Author: HORNSBY, John, Lial, Margaret L., Rockswold, Gary K.

Publisher: Pearson Education, Inc.,

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Chapter 8.4, Problem 37E

To determine

The rectangular equation for the curve given by the parametric equations $x=t+2 and y=1t+2$ and also state the appropriate interval for $x$ or $y$ if t lies in the interval $(−∞,∞)$ .

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Chapter 8.4, Problem 36E

Chapter 8.4, Problem 38E

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Chapter 8 Solutions

Graphical Approach To College Algebra

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Orbit of the Comet Swift-Tuttle Comet Swift–Tuttle...Ch. 8 - Prob. 61RE Ch. 8 - Prob. 62RE Ch. 8 - Prob. 63RE Ch. 8 - Prob. 64RE Ch. 8 - Prob. 1T Ch. 8 - Prob. 2T Ch. 8 - Prob. 3T Ch. 8 - Prob. 4T Ch. 8 - Prob. 5T Ch. 8 - Prob. 6T Ch. 8 - Prob. 7T Ch. 8 - Prob. 8T Ch. 8 - Graph each relation by hand. Identify the graph,...Ch. 8 - Prob. 10T Ch. 8 - Prob. 11T Ch. 8 - Prob. 12T Ch. 8 - Prob. 13T Ch. 8 - Prob. 14T Ch. 8 - Prob. 15T Ch. 8 - Prob. 16T

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The rectangular equation for the curve given by the parametric equations x = t + 2 and y = 1 t + 2 and also state the appropriate interval for x or y if t lies in the interval ( − ∞ , ∞ ) .

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