NorthWest University Ü�Æ
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Figure 1: VÚ rθ = a
Figure 2: CÄ�Ú r = aθ(q¡�Ú)
Figure 3: CÄ�Ú r = aθ(q¡�Ú)
Dept. of Math. 1 êÆX
NorthWest University Ü�Æ
Figure 4: éêÚ r = aeθ(q¡��Ú)
Figure 5: (/x
2
3 + y
2
3 = a
2
3
½
x = a cos3 t
y = a sin3 t
Figure 6: ��Ô
√
x +
√
y =
√
a
Figure 7: �y =
8a3
x2 + 4a2
Dept. of Math. 2 êÆX
NorthWest University Ü�Æ
½
x = 2a tan θ
y = 2a cos2 θ
Figure 8: np4r = a cos 3θ
Figure 9: np4r = a sin 3θ
Dept. of Math. 3 êÆX
NorthWest University Ü�Æ
Figure 10: op4r = a cos 2θ
0
0
1
1
2
2
30
60
90
120
150
180
210
240
270
300
330
360
Figure 11: op4r = a sin 2θ
Figure 12: %9r = a(1 − cos θ)½x2 + y2 + ax = a
√
x2 + y2 %9
r = a(1 + cos θ)
Figure 13: VÛ r2 = a2 cos 2θ½(x2 + y2)2 = a2(x2 − y2)
Dept. of Math. 4 êÆX
NorthWest University Ü�Æ
Figure 14: VÇ y = e−x
2
Figure 15: (k�/ (x3 + y3) = 3axy
½
x =
3at
1 + t3
y =
3at2
1 + t3
= tx
ìC x + y + a = 0, ùp�a=4/3
Figure 16: ]ó y = a cosh
x
a
½y =
a
2
(e
x
a + e−
x
a )
Dept. of Math. 5 êÆX
NorthWest University Ü�Æ
Figure 17: ø y2(2a− x) = x3, (ìC x = 2a)
Figure 18: ��ìm
x = a(cos t + t sin t)
y = a(sin t− t cos t)
Dept. of Math. 6 êÆX
NorthWest University Ü�Æ
Figure 19: {(q¡^Ó)
x = a(t− sin t)
y = a(1− cos t)
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Dept. of Math. 7 êÆX
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