Nick (coyote96)

Race #4152

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Official speed 93.37 wpm (111.04 seconds elapsed during race)
Without ending ping 93.51 wpm (168 ms delay sending score to TypeRacer’s server)
Timerless 93.74 wpm (275 ms elapsed before first character typed; 110.60 seconds elapsed during race)
Timerless minus one 93.64 wpm, ignoring the first character typed
Race Start December 8, 2023 6:20:44pm UTC
Race Finish December 8, 2023 6:22:35pm UTC
Outcome Win (1 of 4)
Opponents 2. lucykiana (91.19 wpm)
3. naruxen (83.74 wpm)
Accuracy 97.4%
Points 252.10
Text #4940058 (Length: 864 characters)

Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the speed of a falling object change as a function of time? How does the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Characters typed Calculus is a tool that helps us understand how a chance ge in one quantity is related to a change in antoherother. How does the speed of a falling object change as a function o ff time? how How does the level of waer ter in a barrel cangehange as a function of the amount of liquid poured into it? We see change occurring in nearly evertyything we bosobserve in the world and universe, and powerful modern instrucmments help us see more and more. In Tthis section we intruoduce the ideas of average and instantaneous rates of achange, and show taht that they are closely related to the clslope of a curve at a point p on tP on the cuvrrve. WE gie give peresccise developments of these important concepts in the next chapter, but for now e we use an informal rpprapproach so you stillwill see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 275 143 66 134 155 166 85 145 55 48 131 70 132 65 115 84 177 124 92 62 106 29 61 76 91
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 94 96 159 89 48 104 47 129 62 174 28 134 97 129 120 165 195 114 114 69 135 0 145 64 99
Character c h a n c e - -e -c g e i n o n e q u a n t
Milliseconds 191 189 89 118 69 188 70 292 135 133 83 130 65 107 55 88 180 65 78 122 90 117 96 114 122
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 64 87 72 67 117 73 94 68 43 90 98 73 105 175 64 110 54 69 83 122 147 112 60 125 70
Character e i n a n t o h e r -r -e -h -o -t o t h e r . H
Milliseconds 125 52 80 90 83 34 117 105 0 149 26 134 304 128 131 153 133 205 127 80 72 101 83 81 276
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 77 129 73 124 56 105 88 67 95 108 54 91 95 264 91 137 154 53 283 85 85 93 73 161 152
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 93 134 108 114 82 63 87 102 102 80 146 186 98 125 127 68 143 57 100 139 94 100 54 113 86
Character f u n c t i o n o f -f - f t i m e ? h o w
Milliseconds 64 85 175 64 154 86 54 66 118 93 198 45 336 127 86 78 76 65 95 114 217 102 214 126 128
Character - -w -o -h H o w d o e s t h e l e v e l o
Milliseconds 102 247 130 162 99 213 114 131 93 78 94 63 120 67 100 99 50 90 82 60 109 118 93 72 96
Character f w a e r - -r -e t e r i n a b a r r e l
Milliseconds 51 132 68 105 194 115 185 264 135 143 70 86 101 67 64 69 128 67 40 192 147 53 162 97 123
Character c a n g e -e -g -n -a h a n g e a s a f u n c
Milliseconds 77 85 167 115 76 87 334 135 141 118 219 66 106 62 115 117 65 65 88 96 76 59 110 181 67
Character t i o n o f t h e a m o u n t o f l i q
Milliseconds 174 85 101 64 78 62 90 97 98 53 83 137 125 72 186 75 180 57 92 25 147 49 123 88 158
Character u i d p o u r e d i n t o i t ? W e s e
Milliseconds 107 105 118 90 134 43 157 116 61 182 86 70 140 84 81 78 47 70 264 127 169 111 120 122 69
Character e c h a n g e o c c u r r i n g i n n e a
Milliseconds 157 89 88 91 93 123 62 110 71 85 107 165 80 139 130 83 88 149 82 127 117 65 108 50 100
Character r l y e v e r t y -y -t y t h i n g w e b o s
Milliseconds 53 109 173 37 86 247 131 85 229 229 272 101 201 70 97 199 6 53 139 113 122 109 152 60 176
Character -s -o -b o b s e r v e i n t h e w o r l d a
Milliseconds 264 139 121 170 47 182 103 109 185 132 75 45 116 100 189 79 68 116 58 109 61 146 56 89 48
Character n d u n i v e r s e , a n d p o w e r f u l
Milliseconds 153 56 59 168 211 70 91 141 76 71 99 78 119 42 124 71 85 146 36 92 41 135 263 66 174
Character m o d e r n i n s t r u c m -m -c m e n t s h
Milliseconds 93 181 81 87 159 86 58 89 68 76 97 57 163 76 177 292 223 128 184 93 71 72 109 52 54
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 127 105 128 104 62 143 85 67 94 181 110 96 58 132 27 65 86 89 78 68 77 79 88 40 168
Character I n T -T t h i s s e c t i o n w e i n t
Milliseconds 81 207 139 136 232 429 129 47 113 117 63 104 87 199 190 80 46 78 75 45 59 161 105 94 77
Character r u -u o d u c e t h e i d e a s o f a v e
Milliseconds 147 103 415 216 92 180 265 180 75 109 52 73 53 95 51 125 79 76 62 64 105 93 91 109 140
Character r a g e a n d i n s t a n t a n e o u s r a
Milliseconds 101 104 82 122 39 120 86 67 93 125 88 135 86 126 108 572 217 384 155 166 91 181 142 161 338
Character t e s o f a -a c h a n g e , a n d s h o w
Milliseconds 148 115 103 98 55 97 65 106 403 70 118 83 117 55 86 73 69 65 86 79 123 90 60 82 80
Character t a h t t -t - -t -h -a h a t t h e y a r e
Milliseconds 88 62 107 0 89 85 91 366 159 139 140 143 197 65 89 91 95 91 78 117 69 199 82 76 109
Character c l o s e l y r e l a t e d t o t h e c l
Milliseconds 405 62 115 60 73 111 169 59 80 91 38 151 51 87 189 98 89 82 98 42 99 67 116 178 217
Character -l -c s l o p e o f a c u r v e a t a p
Milliseconds 284 126 117 99 161 102 123 15 112 124 82 91 62 147 186 87 178 126 107 95 236 121 42 123 121
Character o i n t p o n t -t - -n -o - -p P o n t h e
Milliseconds 67 113 122 45 167 196 74 104 91 61 46 271 127 153 117 140 135 227 150 97 98 136 0 128 54
Character c u v r -r -v r v e . W E g i -i -g - -E e g i
Milliseconds 114 119 113 134 307 180 129 70 179 190 126 121 193 35 125 118 104 221 143 136 122 115 80 85 59
Character v e p e -e r e s c -c -s c i s e d e v e l o p m
Milliseconds 145 116 52 123 114 336 119 74 119 253 224 108 95 131 136 114 153 131 130 136 118 115 158 80 201
Character e n t s o f t h e s e i m p o r t a n t c
Milliseconds 81 87 75 107 238 160 102 82 82 70 85 160 83 18 170 67 167 52 115 137 129 66 98 93 171
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 62 54 56 184 84 81 153 52 172 93 43 100 57 50 130 66 89 160 150 90 140 88 88 93 73
Character e r , b u t f o r n o w e - -e w e u s
Milliseconds 144 121 80 73 186 79 106 122 74 92 83 81 107 86 46 110 94 189 285 120 71 51 85 108 84
Character e a n i n f o r m a l r p p r -r -p -p -r a p p
Milliseconds 87 104 213 76 76 144 130 128 129 121 113 162 74 94 109 55 146 140 271 122 145 137 104 131 134
Character r o a c h s o y o u s t i l l -l -l -i -t -s w i
Milliseconds 94 81 90 162 62 63 126 66 89 83 137 72 30 73 95 34 106 124 304 128 152 126 151 119 90
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 109 204 112 108 117 159 97 84 73 84 83 78 100 89 74 72 101 69 120 123 70 198 79 123 89
Character r a l l y t o t h e m a i n i d e a o f
Milliseconds 116 118 46 160 146 89 119 62 152 0 152 26 182 322 97 95 96 83 104 42 126 86 53 77 80
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 99 71 57 95 100 89 139 127 92 106 52 147 100 57 45 131 67 44 117 184 153 95 126 178 113
Character T h e i d e a o f a l i m i t p l a y
Milliseconds 60 200 149 84 43 71 65 131 115 0 72 107 80 108 56 123 86 59 172 114 91 122 138 99 79
Character s a f o u n d a t i o n a l r o l e t h r
Milliseconds 107 90 175 95 113 85 86 160 33 119 79 38 116 40 127 67 77 91 102 159 61 123 146 59 95
Character o u g h o u t c a l c u l u s .
Milliseconds 56 50 132 77 103 78 57 90 152 41 122 173 93 185 133 146 76
WPM Timing
Seconds WPM
2.22 97.26
4.44 110.77
6.66 97.26
8.88 102.66
11.1 108.07
13.33 97.26
15.55 98.8
17.77 99.96
19.99 101.46
22.21 95.64
24.43 96.28
26.65 94.56
28.87 91.03
31.09 93.79
33.31 95.1
35.53 95.91
37.75 96.94
39.98 95.46
42.2 93.56
44.42 94.83
46.64 95.72
48.86 95.05
51.08 96.32
53.3 95.68
55.52 95.75
57.74 96.22
59.96 96.06
62.18 94.94
64.4 95.58
66.63 94.02
68.85 94.47
71.07 93.88
73.29 94.15
75.51 92.17
77.73 91.7
79.95 90.66
82.17 89.67
84.39 90.01
86.61 90.75
88.83 91.32
91.05 91.33
93.28 90.57
95.5 90.47
97.72 90.01
99.94 90.66
102.16 91.27
104.38 91.74
106.6 92.42
108.82 93.07
111.04 93.37