Re: Implicitize

On Oct 26, 2:28 am, KY <wkfkh...@xxxxxxxxxxx> wrote:
x=(2*t^3 - 18*t^2*s + 18*t*s^2 + 4*s^3)
y=(39*t^3 - 69*t^2*s + 33*t*s^2 + s^3)
z=(-3*t^2*s + 3*t*s^2 + s^3)

(1) Implicitize this surface; f(x,y,z) = 0
 f(x,y,z)=____________________________________.

(2) dual surface;___________________________

Name __________________________________ Date
___________________________
Tools Test
1. A ____________________ hammer has a flat face for general striking
and a round peen for shaping metal.
2. Brass or lead hammer makes heavy blows without __________ the metal
surface.
3. A plastic hammer makes light blows where parts can be easily
_______________.
4. ___________________ hammer has a metal or plastic face filled with
lead shot to prevent rebounding.
5. Rubber ________ gently bumps sheet metal without damaging the
painted finish.
6. Body hammers are used with _______________ metal.
7. Picking hammers have a sharply pointed head and will remove many
_____ dents.
8. Bumping hammers bump out __________________ dents.
9. _______________________________ hammers are for final sheet metal
contour.
10. Shrinking hammers ____________ spots that have been stretched by
excessive hammering.
11. Dolly or dolly block is used like a small portable
_______________.
12. Dollies are held on the back side of a ___________ being struck
with a hammer.
13. Body __________ are sometimes used like a hammer and sometimes
like a dolly.
14. Flat surfaces of a spoon distribute the striking force over a wide
area to prevent hammer _______________.
15. ______________________ loosen or tighten nuts and bolts.
16. Wrench size is the distance across the wrench jaws, and wrenches
come in both standard and ________________________.
17. SAE wrench sets include sizes 3/16 to 1 inch. True or False?
______________
18. Metric sets include 6 – 19 _______________________ wrenches.
19. Metric and SAE are not interchangeable. True or False?
__________________
20. When using a wrench ____________ on the wrench, and do not extend
it with a pipe for leverage.
21. A slide hammer uses a ______________________ action.
22. A ________________ puller is a slide hammer that accepts various
pulling tips.
23. Pull ________________ have a handle and curved end for light
pulling of dents.
24. Pry picks reach into ________________ spaces for removing tiny
dents or dings.
25. ______________ tools use electrical energy, compressed air, or
hydraulic power.
26. Power tools and equipment can be very ________________ if not used
correctly.
27. The use of air-driven or electric power tools requires safety
glasses, goggles or a face ______________________.
28. Never wear ________________ clothing that could get caught in a
tool.
29. _________________include hand-held spray guns, impact guns, and
other tools used in the collision repair shop.
30. An air blow ______________ blows dust and dirt off a vehicle.
31. Impact wrenches are hand-held, reversible air tools used for rapid
____________ of bolts and nuts.
32. Only impact sockets and impact adapters should be used with
_______________.
33. 1/2-inch impact wrench s shaped like a _______ with a hand grip
hanging down.
34. 3/8-inch impact wrench is used with fastener heads under
___________ inch.
35. An air ____________ wrench works in hard to reach places.
36. An air ____________ works like a conventional hammer and chisel or
punch but much quicker.
37. An air chisel often has a ______________ chisel type cutter.
38. Make sure air hammer or chisel is held _____ the work before
pulling the trigger.
39. An air ____________ is used to cut sheet metal.
40. An air cutoff tool cuts or grinds metal and an air saw moves like
a ____________ but cuts more quickly.
41. An air sander smoothes and __________________ body surfaces.
42. Safety trigger has a spring-loaded arm that ____________ trigger
off and keeps it from being pushed down.
43. An air sander includes oscillating sanders, orbital or dual-action
sanders, and may use a _______________________ pad.
44. Grinders come in various sizes and shapes. True or False?
___________________
45. Disc-type is the most commonly used grinder. True or False?
________________
46. Use air grinders ________________ because they can quickly thin
down and cut through body panels.
47. Always wear leather ________________ and a full-face shield when
grinding.
48. Bench grinders sharpen chisels and _________________ and to shape
other tools.
49. Spray guns apply sealer, primer, ___________________, and other
materials.
50. Spray guns ________________ the liquid so that it flows onto the
vehicle smoothly and evenly.
51. Gun body holds parts that meter air and _____________ and the cup
holds the material to be sprayed.
52. Fluid control valve adjusts the ____________ of paint or other
material emitted.
53. __________ control valve controls how much air flows out of the
air cap side jets.
54. Spray gun air cap works with the air valve to control the
_____________ pattern.
55. Mount the cup on the top of the gravity gun head so that gravity
helps the material ______________ out of the cup.
56. Spray booths isolate painting operation from dirt and dust to keep
____________ out of the paint.
57. Spray booths confine ______________ fumes and removes them from
shop area.
58. Downdraft spray booths force air from the ceiling ____ through the
exhaust vents.
59. Downdraft booths prevent contamination and ______________ from
settling on the vehicle surface.
60. Side draft or crossflow spray booth moves air _______________ over
the vehicle.
61. Volatile organic compounds (VOCs) are harmful _______________
produced by many painting materials.
62. High-efficiency spray guns _______________ VOC emission.
63. Transfer efficiency is the percentage of spray material a spray
gun is capable of ____________________.
64. High transfer efficiency cuts VOC emissions and _____________ the
atmosphere.
Name __________________________________ Date
___________________________
Hand Tools Notes
General Hammers:
65. ____________________________ has a flat face for general striking
and a round peen for shaping metal
66. Brass or lead hammer makes heavy blows without marring the metal
surface
67. Plastic hammer makes light blows where parts can be easily damaged
68. Dead blow hammer has a metal or plastic face filled with lead shot
to prevent rebounding
69. _____________________________ gently bumps sheet metal without
damaging the painted finish
Body Hammers:
70. Body hammers are used with sheet metal
71. ____________________________ have a sharply pointed head and will
remove many small dents
72. Bumping hammers bump out large dents
73. Finishing hammers for final sheet metal contour
74. __________________ hammers shrink spots that have been stretched
by excessive hammering
Dollies and Spoons:
75. Dolly or dolly block is used like a small portable anvil
• Generally held on the back side of a panel being struck with a
hammer
76. Body spoons are sometimes used like a hammer and sometimes like a
dolly
77. Flat surfaces of a spoon distribute the striking force over a wide
area to prevent hammer dents
Wrenches:
78. Wrenches loosen or tighten nuts and bolts
79. Wrench size is the distance across the wrench jaws, and come in
both standard and metric
80. SAE wrench sets include sizes 3/16 to 1 inch
81. Metric sets include 6 – 19 millimeter wrenches
• Metric and SAE are not interchangeable
82. When using a wrench ___________________ on the wrench, and do not
extend it with a pipe for leverage
Picks:
83. Slide hammer uses a hammering action
• Dent puller is a slide hammer that accepts various pulling tips
84. Pull rods have a handle and curved end for light pulling of dents
85. __________________reach into confined spaces for removing tiny
dents or dings
Name ___________________________________ Date
__________________________
Power Tools Notes
86. Power tools use electrical energy, compressed air, or hydraulic
power
87. Power tools and equipment can be very _________________ if not
used correctly
88. The use of air-driven or electric power tools requires safety
glasses, goggles or a face shield
89. Never wear loose clothing that could get caught in a tool
Air Tools:
90. Includes hand-held ______________________, impact guns, and other
tools used in the collision repair shop
91. Air blow gun blows dust and dirt off vehicle
92. Impact wrenches are hand-held, reversible air tools used for rapid
turning of bolts and nuts
93. Only impact sockets and impact adapters are used
94. 1/2-inch impact wrench is shaped like a pistol with a hand grip
hanging down
95. 3/8-inch impact wrench is used with fastener heads under 9/16 inch
96. Air ratchet wrench works in hard to reach places
97. Air __________________ works like a conventional hammer and chisel
or punch but much quicker
98. Air __________________ often has cold chisel type cutter
99. Make sure air hammer or chisel is held against the work before
pulling the trigger
Air Cutters:
100. Air nibbler is used to cut sheet metal
101. Air cutoff tool cuts or grinds metal and an air saw moves like a
hacksaw but cuts more quickly
102. Air sander smoothes and ____________________ body surfaces
103. Safety trigger has a spring-loaded arm that locks trigger off and
keeps it from being pushed down
104. Air sanders include oscillating sanders, orbital or dual-action
sanders, and may use a sander pad
Grinders:
105. Grinders come in various sizes and shapes
106. Disc-type is the most commonly used
107. Use air grinders carefully because they can quickly thin down and
cut through body panels
108. ___________________ wear leather gloves and a full-face shield
when grinding
109. Bench grinders sharpen chisels and punches and to shape other
tools
Name ___________________________________ Date
__________________________
Spray Gun & Spray Booth Notes
Spray Guns:
110. Apply sealer, primer, paint, and other materials
111. Spray guns _____________________ the liquid so that it flows onto
the vehicle smoothly and evenly
112. Gun body holds parts that meter air and liquid and the cup holds
the material to be sprayed
113. Fluid control valve adjusts the amount of paint or other material
emitted
114. Air control valve controls how much air flows out of the air cap
side jets
115. Spray gun air cap works with the air valve to control the spray
pattern
116. Gravity-feed spray guns
• Mount the cup on the top of the head so that gravity helps the
material flow out of the cup
• Eliminate spitting
Spray Booths:
117. Spray booth isolates painting operation from dirt and dust to
keep ___________________ out of the paint
• Confines volatile fumes and removes them from shop area
118. Downdraft spray booth forces air from the ceiling down through
the exhaust vents
• Downdraft prevents contamination and overspray from settling on the
vehicle surface
119. Side draft or crossflow spray booth moves air sideways over the
vehicle
VOC Emissions:
120. Volatile organic compounds (VOCs) are harmful pollutants produced
by many ___________________________ materials
121. High-efficiency spray guns reduce VOC emission
122. Transfer efficiency is the percentage of spray material a spray
gun is capable of depositing
123. High transfer efficiency cuts VOC emissions and protects the
atmosphere
.

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