James Stewart Calculus_ Early Transcendentals 8th Edition. 8.pdf (page 677 of 1.404) Nicomedes. He called them conchoids because the resembles that of a conch shell or mussel shell. 10.1 EXERCISES 9. x = /t, y= 1 – t 1-4 Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is 10. x = t², y = t' traced as t increases. 1. x = 1 - t2, y= 2t – t2, -1

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James Stewart Calculus_ Early Transcendentals 8th Edition. 8.pdf (page 677 of 1.404)
Nicomedes. He called them conchoids because the
resembles that of a conch shell or mussel shell.
10.1 EXERCISES
9. x = /t, y= 1 – t
1-4 Sketch the curve by using the parametric equations to plot
points. Indicate with an arrow the direction in which the curve is
10. x = t², y = t'
traced as t increases.
1. x = 1 - t2, y= 2t – t2, -1 <t<2
2. x = t + t, y =t² + 2, -2 <1<2
11-18
(a) Eliminate the parameter
3. x = t + sin t, y =
cos t,
curve.
4. x = e + t, y e'- t, -2 <t<2
(b) Sketch the curve and ind
which the curve is traced
11. x = sin 0, y
cos 0
5-10
= cos
(a) Sketch the curve by using the parametric equations to plot
points. Indicate with an arrow the direction in which the
12. x = cos 0, y 2 sin 6
||
13. x = sin t, y csc t, 0
curve is traced as t increases.
%3D
(b) Eliminate the parameter to find a Cartesian equation of the
14. x = e', y = e 2
-2t
%3D
curve.
15. x = t2, y = In t
5. x = 2t – 1, y=t+ 1
6. x = 3t + 2, y= 2t + 3
||
17. x = sinh t, y cosht
7. x = t2 - 3, y =t+ 2, -3 <t<3
18. x = tan 0, -
y = sec 0,
8. x = sin t, y= 1- cos t, 0<t< 2T
Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppres
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any timr
CHAPTER 10 Parametric Equations and Polar Coordinates
Describe the motion of a particle with position (x, y) as t
n the given interval.
25-27 Use the graphs of x f(t) and y =g
%3D
parametric curve x = f() Y=
=5+2 cos TTt,
y = 3 + sin
Transcribed Image Text:James Stewart Calculus_ Early Transcendentals 8th Edition. 8.pdf (page 677 of 1.404) Nicomedes. He called them conchoids because the resembles that of a conch shell or mussel shell. 10.1 EXERCISES 9. x = /t, y= 1 – t 1-4 Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is 10. x = t², y = t' traced as t increases. 1. x = 1 - t2, y= 2t – t2, -1 <t<2 2. x = t + t, y =t² + 2, -2 <1<2 11-18 (a) Eliminate the parameter 3. x = t + sin t, y = cos t, curve. 4. x = e + t, y e'- t, -2 <t<2 (b) Sketch the curve and ind which the curve is traced 11. x = sin 0, y cos 0 5-10 = cos (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the 12. x = cos 0, y 2 sin 6 || 13. x = sin t, y csc t, 0 curve is traced as t increases. %3D (b) Eliminate the parameter to find a Cartesian equation of the 14. x = e', y = e 2 -2t %3D curve. 15. x = t2, y = In t 5. x = 2t – 1, y=t+ 1 6. x = 3t + 2, y= 2t + 3 || 17. x = sinh t, y cosht 7. x = t2 - 3, y =t+ 2, -3 <t<3 18. x = tan 0, - y = sec 0, 8. x = sin t, y= 1- cos t, 0<t< 2T Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppres Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any timr CHAPTER 10 Parametric Equations and Polar Coordinates Describe the motion of a particle with position (x, y) as t n the given interval. 25-27 Use the graphs of x f(t) and y =g %3D parametric curve x = f() Y= =5+2 cos TTt, y = 3 + sin
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