nic (rainbowarsenal)

Race #3143

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Official speed 95.62 wpm (108.43 seconds elapsed during race)
Without ending ping 96.10 wpm (545 ms delay sending score to TypeRacer’s server)
Timerless 96.83 wpm (812 ms elapsed before first character typed; 107.07 seconds elapsed during race)
Timerless minus one 96.72 wpm, ignoring the first character typed
Race Start September 27, 2023 7:41:52pm UTC
Race Finish September 27, 2023 7:43:40pm UTC
Outcome No win (2 of 4)
Opponents 1. risns (110.19 wpm)
3. staltmors (83.14 wpm)
Accuracy 97.0%
Points 258.17
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 took that tool that elphelps usun undwersterstand how a change in one quantity is related to a chnage change in another. How does the speed of a falling orjbject chnage ange as a function of time? How does the level of water in a barrel chnage ahanchachange as a function of the amount of liquid poeured into it. ? We see change occuring ioccurring in nearly everything we observe in the world and univers, ae, and powerful modern instruments helps us help us see more and more. In this section we introduce the ideas of average and instantaneous rates of chnage, change, adn dn shoand show that they are closely related to the slope of a scurve at a point P on the curbve. veve. WE ge give precise deveolopments of these important concepts in the next chapter, fbut for now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the mlimit. THe idhe idea oaf a limit laysplay as a foundational role throughout caluccuyluslus.
Timing
Character C a l c u l u s i s a t o o k t h a t -
Milliseconds 812 148 96 108 85 98 110 99 82 139 490 96 100 123 116 70 151 83 64 75 81 52 79 55 556
Character -t -o -o -k - -t -h -a -t t o o l t h a t e l p -p -l -e
Milliseconds 398 0 0 0 0 0 0 0 0 139 84 141 132 64 66 70 62 57 39 189 103 68 271 133 149
Character h e l p s u s u n -n -u u n d w e r s t -t -s -r -e
Milliseconds 175 65 78 35 58 44 72 95 100 206 234 132 80 93 141 56 180 22 4 144 108 209 125 138 144
Character -w e r s t a n d h o w a c h a n g e i n
Milliseconds 133 86 58 112 82 103 42 85 72 73 72 37 110 86 104 116 74 154 0 123 45 99 117 41 115
Character o n e q u a n t i t y i s r e l a t e d t
Milliseconds 154 73 70 87 137 79 128 58 143 69 76 134 66 68 79 102 82 111 28 229 117 93 85 72 92
Character o a c h n a g e -c -h -n -a -g -e - c h a n g e
Milliseconds 42 82 88 82 116 52 146 45 93 72 51 389 0 0 0 0 0 0 464 56 88 103 45 40 93
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 78 68 67 93 77 71 58 81 76 73 71 38 192 196 56 94 104 82 85 65 72 59 101 66 106
Character s p e e d o f a f a l l i n g o r j -j -r b
Milliseconds 68 92 100 139 98 66 84 65 102 52 121 76 55 70 136 104 48 79 60 80 68 123 358 115 106
Character j e c t c h n a g e - -e -g -a -n a n g e a s
Milliseconds 95 72 97 152 57 157 48 172 20 115 77 52 222 137 145 136 148 86 86 70 70 77 59 106 69
Character a f u n c t i o n o f t i m e ? H o w d
Milliseconds 117 75 90 113 141 50 149 86 17 47 104 64 108 79 88 70 77 58 295 0 209 197 72 98 67
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 91 81 63 61 62 91 103 51 64 83 95 105 36 95 110 82 81 121 78 59 91 77 72 110 67
Character a b a r r e l c h n a g e -c -h -n -a -g -e - a
Milliseconds 62 81 102 109 135 88 128 169 90 71 82 74 187 0 130 49 92 365 0 0 0 0 0 0 363
Character h a n -n -a -h c h a -a -h -c -a c h a n g e a s a
Milliseconds 85 153 48 223 143 136 167 91 132 190 144 122 142 92 91 110 29 91 37 101 31 103 78 108 88
Character f u n c t i o n o f t h e a m o u n t o f
Milliseconds 104 99 132 53 150 38 40 41 89 75 108 78 116 76 89 65 203 118 126 90 120 79 62 80 139
Character l i q u i d p o e -e u r e d i n t o i t .
Milliseconds 18 96 83 100 105 76 64 92 170 139 297 312 122 53 78 61 38 79 71 61 64 114 47 112 105
Character - -. ? W e s e e c h a n g e o c c u r i
Milliseconds 62 279 124 203 105 151 137 112 70 50 184 48 214 84 134 39 88 46 138 94 70 138 93 92 120
Character n g i -o -c -c -u -r -i -n -g - -i o c c u r r i n g i
Milliseconds 48 51 84 91 384 0 0 0 0 0 0 0 0 0 476 84 114 126 89 143 101 52 82 75 105
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 55 81 111 67 45 40 105 53 88 113 82 104 94 92 101 130 113 62 78 99 59 61 85 62 60
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 484 73 94 163 67 70 81 97 76 19 125 49 113 63 102 60 95 106 97 107 61 67 58 98 128
Character i v e r s , a -a - -, e , a n d p o w e r f u
Milliseconds 60 91 93 147 0 496 104 95 248 148 134 118 109 59 64 89 39 104 63 137 63 32 70 119 93
Character l m o d e r n i n s t r u m e n t s h e l p
Milliseconds 53 75 119 35 82 146 58 92 0 192 47 70 52 143 77 172 192 61 158 77 115 95 124 119 33
Character s u s -h -e -l -p -s - -u -s - h e l p u s s e e
Milliseconds 119 8 108 99 93 381 0 0 0 0 0 0 0 0 161 121 58 46 254 77 123 96 94 79 168
Character m o r e a n d m o r e . I n t h i s s
Milliseconds 76 63 83 9 57 51 111 58 64 38 78 58 37 47 86 52 166 137 89 64 69 33 50 71 98
Character e c t i o n w e i n t r o d u c e t h e i
Milliseconds 27 143 164 40 52 27 73 92 27 85 72 58 43 120 84 69 103 126 122 271 132 77 88 35 97
Character d e a s o f a v e r a g e a n d i n s t a
Milliseconds 68 168 71 84 122 45 94 149 124 172 263 129 130 65 36 75 105 87 16 63 94 56 67 23 138
Character n t a n e o u s r a t e s o f c h n a g e ,
Milliseconds 85 130 143 111 295 185 104 141 46 157 108 83 30 100 55 69 66 94 112 91 141 0 95 54 66
Character -c -h -n -a -g -e -, - c h a n g e , a d n - -n -d d
Milliseconds 52 503 0 0 0 0 0 0 0 203 57 128 95 59 56 78 54 30 126 30 150 298 128 136 179
Character n s h o -a -d -n - -s -h -o a n d s h o w t h a t
Milliseconds 0 103 82 76 50 338 0 0 0 0 0 0 162 99 22 127 92 76 46 98 58 90 97 60 58
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 80 79 96 69 114 37 25 65 40 77 111 44 142 57 51 70 77 78 114 50 85 310 153 63 64
Character t o t h e s l o p e o f a s -s c u r v
Milliseconds 121 45 64 76 28 81 69 63 81 71 164 47 89 41 79 105 69 77 91 112 246 93 77 85 148
Character e a t a p o i n t P o n t h e c u r
Milliseconds 40 81 102 64 106 278 146 109 179 91 32 24 96 133 131 83 87 70 50 82 65 74 101 85 61
Character b v e . - -. -e -v v e -e -v -b v e . W E g -g - -E
Milliseconds 168 0 28 79 52 297 128 145 136 96 50 323 136 134 79 41 138 53 152 89 142 76 323 152 137
Character e g i v e p r e c i s e d e v e o -o l o p m
Milliseconds 85 66 93 69 100 50 36 43 107 41 205 56 111 57 70 120 148 80 88 275 401 166 155 33 161
Character e n t s o f t h e s e i m p o r t a n t c
Milliseconds 43 141 69 97 51 79 62 82 74 88 24 134 65 81 67 84 98 147 73 155 90 33 80 79 106
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 114 98 112 43 131 82 115 24 107 52 95 37 89 93 47 68 71 160 40 67 152 61 107 85 85
Character e r , f -f b u t f o r n o w w e u s e
Milliseconds 51 92 79 101 48 284 94 97 77 73 95 75 94 23 111 62 59 91 115 136 141 164 80 36 88
Character a n i n f o r m a l a p p r o a c h s o y
Milliseconds 89 90 61 93 81 33 171 46 182 107 85 111 16 152 143 98 76 102 71 63 56 80 73 69 153
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 98 105 32 141 24 52 144 57 84 50 144 53 69 54 45 79 53 110 70 88 71 61 63 49 60
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 83 115 88 79 157 21 153 110 157 70 102 174 85 100 59 96 64 93 39 132 51 60 103 40 55
Character e a o f t h i s c h a p t e r , t h e m
Milliseconds 145 57 65 97 56 111 394 39 85 32 103 87 89 98 78 90 85 89 48 107 90 60 91 67 111
Character -m l i m i t . T H e i d -d -i - -e -H h e i d e
Milliseconds 490 181 103 60 137 108 80 71 130 44 113 77 63 30 289 137 128 150 129 161 72 56 54 59 130
Character a o a -a f a l i m i t l a y s -s -y -a -l p l
Milliseconds 46 72 42 301 257 57 107 52 153 29 103 51 176 96 84 149 80 86 131 204 145 135 132 188 157
Character a y a -a - s a f o u n d a t i o n a l r o
Milliseconds 41 66 149 31 411 138 86 60 98 93 65 91 45 119 63 127 80 35 41 40 67 97 86 151 53
Character l e t h r o u g h o u t c a l u c -c -u c u y l
Milliseconds 106 97 45 110 110 218 99 95 147 124 117 122 114 93 133 108 68 126 212 325 129 111 52 0 115
Character u s -s -u -l -y l u s .
Milliseconds 77 76 202 136 134 137 218 47 90 100
WPM Timing
Seconds WPM
2.17 55.34
4.34 38.73
6.51 51.65
8.67 49.8
10.84 63.08
13.01 73.78
15.18 71.15
17.35 80.24
19.52 86.69
21.69 82.45
23.85 85.02
26.02 88.54
28.19 91.94
30.36 85.77
32.53 85.22
34.7 87.85
36.87 88.54
39.03 87.92
41.2 85.04
43.37 87.71
45.54 89.06
47.71 90.05
49.88 90.46
52.05 90.61
54.21 89.87
56.38 92.79
58.55 93.87
60.72 95.06
62.89 94.83
65.06 93.15
67.23 92.64
69.39 93.9
71.56 95.08
73.73 95.7
75.9 93.75
78.07 93.46
80.24 93.17
82.41 94.36
84.57 95.49
86.74 96.15
88.91 96.9
91.08 98.29
93.25 99.09
95.42 99.48
97.59 98.25
99.75 98.04
101.92 96.78
104.09 97.41
106.26 96.89
108.43 95.62