13. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
14. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
15. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
h
b
2
1
16. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
h
b
2
1
h - z
x
17. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
h
b
2
1
h - z
x
x
zh
b
h
2
1
18. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
h
b
2
1
h - z
x
x
zh
b
h
2
1
h
zhb
x
x
zh
b
h
2
2
19. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
h
b
2
1
h - z
x
x
zh
b
h
2
1
h
zhb
x
x
zh
b
h
2
2
geometrycoordinateusing:2Method
20. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
h
b
2
1
h - z
x
x
zh
b
h
2
1
h
zhb
x
x
zh
b
h
2
2
geometrycoordinateusing:2Method
(0,h)
21. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
h
b
2
1
h - z
x
x
zh
b
h
2
1
h
zhb
x
x
zh
b
h
2
2
geometrycoordinateusing:2Method
(0,h)
0,
2
1
b
22. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
h
b
2
1
h - z
x
x
zh
b
h
2
1
h
zhb
x
x
zh
b
h
2
2
geometrycoordinateusing:2Method
b
h
b
h
m
2
2
1
0
0
(0,h)
0,
2
1
b
23. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
h
b
2
1
h - z
x
x
zh
b
h
2
1
h
zhb
x
x
zh
b
h
2
2
geometrycoordinateusing:2Method
b
h
b
h
m
2
2
1
0
0
0
2
x
b
h
hz
(0,h)
0,
2
1
b
24. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
h
b
2
1
h - z
x
x
zh
b
h
2
1
h
zhb
x
x
zh
b
h
2
2
geometrycoordinateusing:2Method
b
h
b
h
m
2
2
1
0
0
0
2
x
b
h
hz
h
zhb
x
hxhzb
2
2
(0,h)
0,
2
1
b
25. Find x in terms of z
x
z
h
b
2
1
b
2
1
x (x,z)
ssimilarusing:1Method
h
b
2
1
h - z
x
x
zh
b
h
2
1
h
zhb
x
x
zh
b
h
2
2
geometrycoordinateusing:2Method
b
h
b
h
m
2
2
1
0
0
0
2
x
b
h
hz
h
zhb
x
hxhzb
2
2
h
zha
y
2
Similarly;
(0,h)
0,
2
1
b
26.
h
zha
h
zhb
zA
22
4
27.
h
zha
h
zhb
zA
22
4
2
2
h
zhab
28.
h
zha
h
zhb
zA
22
4
2
2
h
zhab
z
h
zhab
V
2
2
29.
h
zha
h
zhb
zA
22
4
2
2
h
zhab
z
h
zhab
V
2
2
h
z
z
z
h
zhab
V
0
2
2
0
lim
30.
h
zha
h
zhb
zA
22
4
2
2
h
zhab
z
h
zhab
V
2
2
h
z
z
z
h
zhab
V
0
2
2
0
lim
h
dzzh
h
ab
0
2
2
31.
h
zha
h
zhb
zA
22
4
2
2
h
zhab
z
h
zhab
V
2
2
h
z
z
z
h
zhab
V
0
2
2
0
lim
h
dzzh
h
ab
0
2
2
h
zh
h
ab
0
3
2
3
32.
h
zha
h
zhb
zA
22
4
2
2
h
zhab
z
h
zhab
V
2
2
h
z
z
z
h
zhab
V
0
2
2
0
lim
h
dzzh
h
ab
0
2
2
h
zh
h
ab
0
3
2
3
3
3
2
units
3
3
0
abh
h
h
ab
33. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
34. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x-2
-2
2
2
35. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
36. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
37. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
38. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
39. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
40. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
41. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
42. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
43. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
44. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
45. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
46. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
x
47. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
x
y2
y2
48. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
x
y2
y2
2
4yxA
49. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
x
y2
y2
2
4yxA
2
44 x
50. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
x
y2
y2
2
4yxA
2
44 x
xxV 2
44
51. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
x
y2
y2
2
4yxA
2
44 x
xxV 2
44
2
2
2
0
44lim
x
x
xxV
52. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
x
y2
y2
2
4yxA
2
44 x
xxV 2
44
2
2
2
0
44lim
x
x
xxV
2
0
2
48 dxx
53. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
x
y2
y2
2
4yxA
2
44 x
xxV 2
44
2
2
2
0
44lim
x
x
xxV
2
0
2
48 dxx
2
0
3
3
1
48
xx
54. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
x
y2
y2
2
4yxA
2
44 x
xxV 2
44
2
2
2
0
44lim
x
x
xxV
2
0
2
48 dxx
2
0
3
3
1
48
xx
3
units
3
128
0
3
8
88
55. (ii) A solid has a circular base, , and each cross section is
a square perpendicular to the base.
422
yx
y
x2
2
-2
-2
x
y2
y2
2
4yxA
2
44 x
xxV 2
44
2
2
2
0
44lim
x
x
xxV
2
0
2
48 dxx
2
0
3
3
1
48
xx
3
units
3
128
0
3
8
88
Exercise 3A; 16ade, 19
Exercise 3C; 2, 7, 8