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15.1 Parametric Equations of a Curve

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$Page 1: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

15.1 Parametric Equations of a Curve

$Page 2: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 3: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 4: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

15.2 The Cycloid

$Page 5: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 6: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 7: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 8: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 9: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

15.3 Functions Defined By Parametric Equations

$Page 10: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 11: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 12: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 13: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

15.4 Arc Length in Parametric Equations

$Page 14: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 15: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 16: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 17: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 18: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 19: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

15.5 Vectors in the Plane

$Page 20: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

15.6 Scalars, Dot Products, and Basis Vectors

$Page 21: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 22: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 23: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 24: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 25: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 26: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

15.8 Curvilinear Motion. Vector Arc Length

$Page 27: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

$Page 28: 15.1 Parametric Equations of a Curve - American River Chapter 15 Paramet… · a > b, A point P on the circumference of the circie traces out a curve cat\ed a hypocycloid. Find parametric$

PARAMETRIC EQUATIONS AND POLAR COORDINATESfac.ksu.edu.sa/sites/default/files/chap10_sec2.pdf · A curve C is defined by the parametric equations x = t2, y = t3 ± 3t. a. Show that

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