Consider the following. x = sinh(t), y = cosh(t) (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. y -2 -1 1 X 1 y y -2 -1 1 4 -2 -1 1 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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Consider the following.
x = sinh(t),
y = cosh(t)
(a) Eliminate the parameter to find a Cartesian equation of the curve.
(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.
y
y
-2
-1
1
2
- 3
-1
2
y
y
-2
-1
4
-1
1
2
Transcribed Image Text:Consider the following. x = sinh(t), y = cosh(t) (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. y y -2 -1 1 2 - 3 -1 2 y y -2 -1 4 -1 1 2
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