みとま (bababooei)

Race #7

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Official speed 97.19 wpm (106.68 seconds elapsed during race)
Without ending ping 97.40 wpm (231 ms delay sending score to TypeRacer’s server)
Timerless 97.61 wpm (223 ms elapsed before first character typed; 106.22 seconds elapsed during race)
Timerless minus one 97.49 wpm, ignoring the first character typed
Race Start May 9, 2024 9:20:47am UTC
Race Finish May 9, 2024 9:22:33am UTC
Outcome Win (1 of 5)
Accuracy 97.7%
Points 262.41
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 toooll that helps us understand how a change in one quantity is related to a change ina not another. How does the speed of a falling object change a ss a funciontion of time? How does the level of water ina 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 esection we introduce the ideas of average and isnnstantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on the cruve.urve. We give prescise developments o fth ff these imprtatortant concepts int e the next chapter, but for now we use an informal approach so youw will see how they lead naturally to the main idea of this hachapter, the limit. The idea of a limit palays a foundationa rolel role throughout calculus.
Timing
Character C a l c u l u s i s a t o o o l -l -o l t h
Milliseconds 223 465 155 118 132 226 296 110 82 106 63 127 60 125 142 66 132 109 190 247 124 186 156 77 80
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 79 33 29 155 63 139 93 141 50 124 62 100 86 172 63 220 96 142 137 76 83 36 101 123 125
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 48 107 51 89 77 79 63 92 78 50 92 77 141 126 65 152 63 111 73 67 122 78 252 95 78
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 139 66 136 48 107 79 63 66 154 93 63 140 64 125 46 140 79 114 118 111 61 108 31 53 71
Character i n a n o t -t -o -n - -a a n o t h e r . H o w
Milliseconds 47 140 112 47 90 109 32 251 110 110 121 235 374 110 77 113 73 111 64 46 62 174 142 122 62
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 114 74 96 77 125 94 78 92 46 83 60 124 125 141 124 62 113 57 80 77 63 110 77 51 120
Character i n g o b j e c t c h a n g e a s -s - s
Milliseconds 235 140 62 65 109 174 139 47 61 171 78 111 94 61 110 109 56 116 92 156 86 181 95 126 94
Character a f u n c i o n -n -o -i t i o n o f t i m e ?
Milliseconds 95 95 108 232 150 40 236 141 138 192 93 178 88 93 157 127 144 155 77 79 76 50 124 56 227
Character H o w d o e s t h e l e v e l o f w a
Milliseconds 314 278 130 98 90 78 95 95 76 146 41 97 42 99 141 76 79 77 92 111 126 94 31 372 48
Character t e r i n a - - -a a b a r r e l c h a
Milliseconds 97 121 52 0 121 114 110 30 142 351 88 125 325 160 141 203 79 125 126 281 64 155 81 77 77
Character n g e a s a f u n c t i o n o f t h e
Milliseconds 95 77 32 77 108 79 98 76 95 124 127 124 95 187 62 124 108 142 111 67 73 78 63 93 64
Character a m o u n t o f l i q u i d p o u r e d i
Milliseconds 130 42 143 177 121 88 86 114 75 16 267 184 118 69 153 97 47 142 174 172 62 65 140 64 110
Character n t o i t ? W e s e e c h a n g e o c c
Milliseconds 124 79 49 124 111 95 157 299 158 236 143 64 171 127 77 110 96 59 125 17 61 78 79 80 140
Character u r r i n g i n n e a r l y e v e r y t h i
Milliseconds 190 254 140 110 125 80 65 156 125 157 172 62 93 70 166 79 94 96 174 93 61 108 126 94 123
Character n g w e o b s e r v e i n t h e w o r l
Milliseconds 129 62 157 61 63 92 112 200 62 156 64 178 73 107 92 158 63 125 91 62 80 94 45 116 89
Character d a n d u n i v e r s e , a n d p o w e r
Milliseconds 124 61 69 70 65 92 106 124 132 42 116 86 105 161 31 158 62 92 94 46 125 158 0 77 46
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 173 45 162 135 126 108 110 140 63 63 140 93 124 63 63 140 107 181 42 119 32 80 121 160 54
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 147 61 220 174 61 95 97 155 142 74 141 109 94 32 100 72 78 91 48 124 110 81 60 67 184
Character I n t h i s e -e s e c t i o n w e i n t r
Milliseconds 141 141 95 78 63 125 45 78 105 321 60 158 92 218 31 109 156 173 82 60 63 155 124 62 140
Character o d u c e t h e i d e a s o f a v e r a g
Milliseconds 61 111 93 94 94 108 111 60 78 79 77 63 95 108 125 62 391 66 57 92 111 175 55 125 100
Character e a n d i s n -n -s n s t a n t a n e o u s r
Milliseconds 43 61 113 73 79 68 86 109 18 373 109 204 65 123 91 140 452 78 140 281 148 213 63 79 139
Character a t e s o f c h a n g e , a n d s h o w
Milliseconds 63 123 48 154 62 93 96 31 168 95 61 109 70 23 93 139 63 109 46 63 110 64 121 47 93
Character t h a t t h e y a r e c l o s e l y r e l
Milliseconds 78 84 74 61 35 129 71 92 65 153 81 60 63 30 170 94 140 79 186 98 105 95 186 111 127
Character a t e d t o t h e s l o p e o f a c u
Milliseconds 118 111 64 154 78 109 32 125 91 80 78 61 98 124 172 114 101 51 106 93 84 74 64 102 112
Character r v e a t a p o i n t P o n t h e c
Milliseconds 83 153 76 109 98 73 63 100 62 247 158 141 139 64 95 109 144 73 156 140 82 72 47 93 108
Character r u v e . -. -e -v -u -r u r v e . W e g i v e p
Milliseconds 179 18 183 78 59 201 110 134 163 109 374 62 281 62 78 419 217 96 511 51 112 52 66 45 124
Character r e s -s c i s e d e v e l o p m e n t s o f
Milliseconds 112 63 143 276 101 121 76 127 111 67 88 110 66 44 169 138 205 62 111 89 77 63 141 138 18
Character t h -h -t -f - f -f - f t h e s e i m p r t a t
Milliseconds 185 47 236 112 117 96 176 26 437 95 108 108 109 64 77 139 142 92 328 156 112 78 185 108 98
Character -t -a -t -r o r t a n t c o n c e p t s i n t e
Milliseconds 199 95 108 109 203 78 139 81 90 31 163 72 62 404 110 57 133 185 180 134 120 170 124 101 132
Character -e - -t t h e n e x t c h a p t e r , b u t
Milliseconds 269 99 124 180 95 66 73 78 108 32 175 122 78 298 92 79 84 121 93 70 55 160 168 97 89
Character f o r n o w w e u s e a n i n f o r m
Milliseconds 62 92 64 92 33 93 141 54 86 133 83 44 116 11 174 76 106 58 144 32 141 30 109 64 47
Character a l a p p r o a c h s o y o u w -w w i l l
Milliseconds 126 19 105 79 53 132 78 141 108 77 49 157 124 80 123 79 92 63 162 249 167 101 52 180 101
Character s e e h o w t h e y l e a d n a t u r a
Milliseconds 159 30 175 122 47 138 127 64 76 125 60 93 62 141 142 43 79 94 79 125 63 79 94 94 48
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 91 110 45 154 79 94 129 90 76 64 77 146 13 78 138 108 96 78 60 63 31 109 95 31 156
Character h i s h a -a -h c h a p t e r , t h e l i m i
Milliseconds 46 127 75 49 432 82 277 95 81 100 65 114 92 124 67 56 146 73 110 80 29 139 172 144 120
Character t . T h e i d e a o f a l i m i t p a
Milliseconds 81 120 180 305 94 93 95 104 109 48 62 93 130 91 160 333 132 123 156 124 127 61 63 138 187
Character -a l a y s a f o u n d a t i o n a r o l e -e
Milliseconds 483 189 82 138 93 92 64 111 136 82 183 109 16 77 109 32 125 107 93 155 77 57 147 47 156
Character -l -o -r - l r o l e t h r o u g h o u t c a l
Milliseconds 103 98 113 105 210 152 48 123 144 75 80 187 45 249 113 142 88 47 157 138 47 94 93 78 53
Character c u l u s .
Milliseconds 117 111 202 157 97 589
WPM Timing
Seconds WPM
2.13 67.49
4.27 73.12
6.4 88.12
8.53 97.02
10.67 103.49
12.8 92.8
14.93 98.83
17.07 100.54
19.2 99.99
21.34 94.49
23.47 95.1
25.6 97.02
27.74 92.59
29.87 94.81
32 95.99
34.14 97.02
36.27 97.27
38.4 97.18
40.54 97.98
42.67 99.27
44.8 100.44
46.94 101.24
49.07 101.97
51.21 101.47
53.34 102.36
55.47 102.75
57.61 100.82
59.74 101.64
61.87 103.18
64.01 103.49
66.14 103.96
68.27 103.52
70.41 101.41
72.54 100.74
74.67 100.44
76.81 98.9
78.94 97.59
81.07 96.8
83.21 96.34
85.34 97.3
87.48 98.08
89.61 97.89
91.74 98.75
93.88 99.45
96.01 99.11
98.14 99.04
100.28 98.25
102.41 98.08
104.54 97.68
106.68 97.19