Christiaan (fireice7072)

Race #386

View Pit Stop page for race #386 by fireice7072 — Ghost race

View profile for Christiaan (fireice7072)

Official speed 76.18 wpm (136.10 seconds elapsed during race)
Without ending ping 76.27 wpm (159 ms delay sending score to TypeRacer’s server)
Timerless 76.49 wpm (388 ms elapsed before first character typed; 135.55 seconds elapsed during race)
Timerless minus one 76.40 wpm, ignoring the first character typed
Race Start January 8, 2024 7:29:48am UTC
Race Finish January 8, 2024 7:32:04am UTC
Outcome No win (4 of 5)
Opponents 1. denec (84.77 wpm)
2. nilthedev (82.93 wpm)
5. nebs_2ge (68.70 wpm)
Accuracy 97.4%
Points 205.68
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 change in one quantity is related to the a change in nanohther. How does the speed of a falling object change asa 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 occuring inoccuriring in rnearly everything we observe in the world and universe, and powerful modern instruments hlep help us see more and more. I thiIN thiIn this section we sintroduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slpope of a curve at a point P on the curve. We give previscise developments of these important concetpts in the next chapter, but of for now we use an informal approach so you will see how thye ey lead naturally oto the minain idea of this chaper, chapter, the limit. The idea of a limit plays a foundational role throughougt clacalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 388 202 102 132 251 183 88 165 86 97 147 64 136 32 454 106 131 198 91 55 152 0 106 55 104
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 135 29 115 101 102 106 84 134 60 332 141 163 92 140 97 80 180 66 116 129 97 82 117 363 148
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 133 96 101 87 90 137 70 102 98 56 122 111 313 132 211 101 123 81 122 99 116 149 79 172 97
Character r e l a t e d t o t h e - -e -h -t a c h a
Milliseconds 102 251 119 194 24 103 150 178 146 153 77 69 64 141 64 106 432 165 158 134 69 92 122 103 125
Character n g e i n n -n a n o h -h t h e r . H o w d
Milliseconds 74 71 121 148 190 91 75 185 407 314 119 92 239 442 145 87 131 102 70 103 295 104 147 115 107
Character o e s t h e s p e e d o f a f a l l i n
Milliseconds 127 73 65 118 112 72 96 79 148 94 175 142 184 115 104 79 115 52 112 128 67 105 194 186 146
Character g o b j e c t c h a n g e a s a -a a f u
Milliseconds 130 102 254 433 148 124 199 218 134 107 91 147 117 67 106 101 114 174 200 355 119 133 99 134 131
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 195 96 252 15 92 91 44 146 114 105 79 73 102 74 234 213 559 154 109 102 120 97 88 92 99
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 67 100 117 44 156 54 148 97 57 75 146 36 168 103 117 150 171 103 103 136 87 51 70 94 653
Character a r r e l c h a n g e a s a f u n c t i o
Milliseconds 186 232 155 164 123 63 173 102 125 130 107 110 160 73 207 127 98 64 104 105 201 78 269 0 87
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 79 29 159 138 62 114 79 98 68 130 61 95 99 242 116 93 123 216 88 224 210 429 108 94 285
Character p o u r e d i n t o i t ? W e s e e c
Milliseconds 147 308 213 102 487 146 178 135 84 83 146 35 94 150 85 267 361 279 257 142 110 205 145 81 117
Character h a n g e o c c u r i n g i n -i -n -o -c -c -u -r -i
Milliseconds 112 100 101 103 107 179 205 211 157 144 115 79 83 79 94 120 61 664 0 161 0 0 0 0 0
Character -n -g - o c c u r i -i r i n g i n r -r n e a r l
Milliseconds 0 0 0 504 133 541 160 146 108 615 179 138 43 131 95 124 78 72 208 446 208 73 70 101 72
Character y e v e r y t h i n g w e o b s e r v e i
Milliseconds 160 84 150 218 129 81 165 308 43 285 109 76 127 68 86 107 151 129 172 116 67 251 120 134 78
Character n t h e w o r l d a n d u n i v e r s e ,
Milliseconds 76 74 30 107 59 118 84 82 111 232 158 111 82 71 112 61 138 202 101 112 101 103 150 61 129
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 24 95 101 89 87 312 233 41 97 95 183 97 138 87 191 104 125 158 103 114 59 239 100 88 132
Character r u m e n t s h l e p -h -l -e -p - h e l p u s
Milliseconds 173 108 191 99 97 59 164 16 177 117 45 116 103 530 0 0 0 0 583 123 78 156 81 134 116
Character s e e m o r e a n d m o r e . I t h i
Milliseconds 98 141 214 134 88 128 82 61 105 46 73 122 93 80 142 79 48 105 201 176 185 119 136 77 67
Character -t -h -i -I - I N t h i -t -h -i -I -N - I n t h i s
Milliseconds 586 0 0 166 0 594 120 87 118 65 89 472 0 0 208 0 0 667 267 77 148 53 80 121 69
Character s e c t i o n w e s -s i n t r o d u c e t h
Milliseconds 119 91 236 236 46 81 58 53 90 74 99 215 370 221 110 118 188 100 147 122 100 218 98 101 81
Character e i d e a s o f a v e r a g e a n d i n
Milliseconds 97 75 90 190 666 114 212 96 76 510 193 125 148 136 99 143 96 109 125 78 145 83 102 111 78
Character s t a n t a n e o u s r a t e s o f c h a n
Milliseconds 70 126 101 782 177 111 704 145 113 75 129 90 114 93 130 117 193 132 78 108 53 197 92 101 99
Character g e , a n d s h o w t h a t t h e y a r
Milliseconds 102 129 74 100 82 116 101 62 141 49 100 120 125 174 105 63 97 61 131 50 139 53 87 49 101
Character e c l o s e l y r e l a t e d t o t h e
Milliseconds 88 91 157 164 150 115 84 131 151 27 159 80 105 65 100 113 219 139 151 0 100 118 100 104 78
Character s l p -p o p e o f a c u r v e a t a p
Milliseconds 127 59 177 528 268 136 167 55 124 392 125 114 74 205 151 99 237 74 144 129 196 192 68 107 279
Character o i n t P o n t h e c u r v e . W e g
Milliseconds 167 121 20 131 151 167 117 146 83 73 100 74 113 101 128 147 63 229 62 128 102 192 308 149 101
Character i v e p r e v i s -s -i -v c i s e d e v e l o p
Milliseconds 133 112 53 70 106 66 91 205 156 86 436 153 190 133 129 94 84 103 284 192 141 107 54 187 129
Character m e n t s o f t h e s e i m p o r t a n t
Milliseconds 220 125 86 78 185 63 92 113 70 111 73 145 119 87 140 59 170 112 50 130 162 92 149 97 93
Character c o n c e t -t p t s i n t h e n e x t c h
Milliseconds 185 77 80 77 210 260 375 255 72 140 64 101 92 39 81 108 127 126 240 38 289 505 163 204 133
Character a p t e r , b u t o f - -f -o f o r n o w
Milliseconds 94 171 150 199 87 40 87 121 64 151 52 203 134 191 300 172 121 108 117 92 106 120 46 123 189
Character w e u s e a n i n f o r m a l a p p r o a
Milliseconds 105 98 124 164 84 56 634 136 85 110 286 141 86 81 104 172 280 86 102 223 128 152 113 128 78
Character c h s o y o u w i l l s e e h o w t h
Milliseconds 255 111 86 193 108 86 191 120 71 65 132 38 165 134 133 101 209 170 90 145 100 182 117 140 77
Character y e - -e -y e y l e a d n a t u r a l l y o
Milliseconds 142 30 90 669 162 137 176 117 68 200 69 110 285 121 135 98 134 146 100 104 44 141 198 69 199
Character -o t o t h e m i n -n -i a i n i d e a o f
Milliseconds 416 118 115 46 86 120 78 106 172 215 78 353 163 133 125 59 85 198 126 187 73 162 171 70 129
Character t h i s c h a p e r , -, - -c -h -a -p -e -r c h a p
Milliseconds 87 78 73 80 122 136 96 183 110 150 126 100 91 528 0 152 0 0 0 0 0 324 128 99 102
Character t e r , t h e l i m i t . T h e i d e a
Milliseconds 198 188 83 70 70 97 60 124 48 132 166 183 88 194 64 112 209 152 123 58 161 404 158 96 144
Character o f a l i m i t p l a y s a f o u n d a
Milliseconds 138 164 120 115 109 466 144 167 120 175 112 116 201 90 443 264 138 107 78 207 124 46 231 43 118
Character t i o n a l r o l e t h r o u g h o u g -g t
Milliseconds 135 65 88 68 157 50 91 106 77 171 104 106 143 73 122 25 64 159 825 212 77 164 516 125 97
Character c l a c -c -a -l a l c u l u s .
Milliseconds 244 102 103 181 371 182 149 138 140 125 113 152 76 126 136
WPM Timing
Seconds WPM
2.72 70.54
5.44 90.38
8.17 91.11
10.89 91.48
13.61 84.64
16.33 79.35
19.05 82.5
21.78 81.01
24.5 80.82
27.22 82
29.94 84.16
32.66 83.76
35.39 85.8
38.11 83.45
40.83 82.88
43.55 80.46
46.27 77.02
49 76.66
51.72 77.27
54.44 79.13
57.16 79.98
59.88 78.75
62.61 79.74
65.33 77.15
68.05 75.83
70.77 75.79
73.49 75.44
76.22 75.58
78.94 75.86
81.66 77.44
84.38 78.36
87.1 77.84
89.83 78.15
92.55 78.58
95.27 77.84
97.99 78.62
100.71 78.52
103.44 78.54
106.16 78.11
108.88 78.03
111.6 78.39
114.32 77.78
117.04 77.82
119.77 77.65
122.49 76.61
125.21 76.96
127.93 76.92
130.65 77.24
133.38 76.75
136.1 76.18