Helen (28promises)

Race #280

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Official speed 107.98 wpm (96.02 seconds elapsed during race)
Without ending ping 108.23 wpm (224 ms delay sending score to TypeRacer’s server)
Timerless 108.92 wpm (603 ms elapsed before first character typed; 95.19 seconds elapsed during race)
Timerless minus one 108.79 wpm, ignoring the first character typed
Race Start December 27, 2023 11:12:35am UTC
Race Finish December 27, 2023 11:14:11am UTC
Outcome No win (3 of 5)
Opponents 1. ramble (111.61 wpm)
2. kamikamigod (110.42 wpm)
Accuracy 98.0%
Points 291.53
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 tht at 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 ab ar barrel change as a function of the amount of liquid poured inot itnto it? We csee change occurring in nearly everything we observe in the world an ud unnd unigerverse, and powerful modern instruments help us see more and more. I nthn this section, we introucduce the ideas of average and instantaneous rates of change, an sd show that they are closley relosely related to the slope of a curve at a point P on the curve. We give precise developments of these importants concmportant concepts in the next chapter, but for now we use an informal approach so you wills see how they lead naturally to th e main idea of this chapter, the limit. The idea of alimit 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 t - -t
Milliseconds 603 175 0 127 50 185 125 122 71 31 94 47 85 74 85 53 100 155 59 56 64 192 82 578 151
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 332 145 65 113 76 31 139 40 70 79 76 50 51 113 65 97 46 123 126 121 80 43 54 71 144
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 0 46 111 49 72 69 68 86 44 38 73 45 123 61 124 97 40 70 74 135 0 125 103 62 46
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 121 48 100 50 99 49 94 133 88 99 163 135 36 120 46 87 103 31 100 57 83 60 61 86 47
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 52 127 41 78 54 138 32 130 0 60 140 112 125 164 0 84 95 62 48 171 58 199 0 0 47
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 106 63 112 146 161 0 84 80 48 86 42 83 127 46 124 140 158 0 52 126 0 105 95 114 158
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 51 141 33 42 113 54 67 54 142 59 52 77 95 0 89 133 23 189 51 111 134 56 76 48 73
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 53 77 117 56 240 119 174 150 54 76 79 108 34 133 82 52 63 114 0 106 49 142 62 48 105
Character o f w a t e r i n a b a r -r -a - -b b a r
Milliseconds 74 34 50 50 156 135 107 85 80 0 118 59 113 126 0 78 171 301 142 101 139 156 112 55 167
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 118 118 42 79 92 47 80 80 68 79 62 163 67 54 32 79 56 67 134 49 174 36 137 106 95
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 53 44 99 54 97 34 53 127 39 137 133 129 49 47 81 88 0 123 99 113 46 173 119 35 79
Character o u r e d i n o t i t -n -o -t - -i -t n t o i t
Milliseconds 145 135 48 122 134 47 47 119 190 0 96 78 53 1134 0 0 0 0 0 122 46 107 50 125 0
Character ? W e c -c s e e c h a n g e o c c u r r i
Milliseconds 219 114 137 155 48 360 234 85 152 140 42 99 65 60 86 76 37 33 85 79 124 64 121 125 63
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 97 64 46 71 129 46 97 33 134 143 118 0 107 57 110 113 87 145 114 60 88 144 0 67 100
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 40 88 109 51 140 154 47 184 116 51 57 136 44 0 123 97 0 95 44 0 139 44 56 104 55
Character u -u - -n d u n -n -u - -d n d u n i g e r -r -e -g
Milliseconds 150 116 378 128 111 94 0 113 156 345 131 134 108 215 63 51 67 162 128 110 77 83 322 142 133
Character v e r s e , a n d p o w e r f u l m o d e r
Milliseconds 270 131 55 157 142 78 83 76 75 73 0 191 128 0 106 123 150 0 155 75 75 153 55 82 69
Character n i n s t r u m e n t s h e l p u s s e e
Milliseconds 47 52 87 111 68 125 163 47 139 97 49 0 151 70 61 112 42 140 42 115 40 89 107 142 125
Character m o r e a n d m o r e . I n t h -h -t -n -
Milliseconds 79 53 180 0 69 46 150 54 44 0 158 120 64 142 74 81 135 99 34 215 98 274 126 124 125
Character n t h i s s e c t i o n , -, w e i n t r o
Milliseconds 192 59 165 57 124 109 0 129 165 147 199 0 113 138 188 292 94 128 59 47 181 122 29 158 115
Character u c -c -u d u c e t h e i d e a s o f a v e
Milliseconds 112 99 226 122 198 51 116 111 45 67 48 75 45 85 84 99 141 68 70 84 47 48 103 125 126
Character r a g e a n d i n s t a n t a n e o u s r a
Milliseconds 54 149 98 109 42 144 0 137 0 73 96 50 174 135 140 49 419 109 101 103 109 74 102 77 110
Character t e s o f c h a n g e , a n s -s - d s h
Milliseconds 183 108 138 51 100 0 55 143 65 56 63 45 138 56 92 80 105 96 73 444 124 102 55 114 48
Character o w t h a t t h e y a r e c l o s l e y
Milliseconds 155 43 82 46 78 74 79 96 74 50 69 89 45 123 115 94 48 116 65 120 50 133 0 139 56
Character r e -l -o -s -l -e -y - -r -e l o s e l y r e l a t e d
Milliseconds 107 116 683 0 0 0 0 0 0 0 0 50 121 49 132 44 87 115 103 63 75 110 151 149 135
Character t o t h e s l o p e o f a c u r v e
Milliseconds 99 77 69 54 55 53 61 32 120 59 148 143 45 44 52 78 62 68 65 99 93 94 139 136 56
Character a t a p o i n t P o n t h e c u r v e
Milliseconds 116 188 81 122 111 246 167 142 115 49 30 191 89 76 110 25 83 45 110 0 126 46 140 139 113
Character . W e g i v e p r e c i s e d e v e l o p
Milliseconds 60 84 165 148 59 76 78 114 91 64 59 51 88 158 64 77 172 62 115 116 60 130 0 125 143
Character m e n t s o f t h e s e i m p o r t a n t s
Milliseconds 130 98 60 33 139 68 108 71 67 58 112 46 157 397 145 0 149 166 127 52 106 153 114 63 153
Character c o n c -m -p -o -r -t -a -n -t -s - -c -o -n -c m p o r t a
Milliseconds 48 99 85 122 81 559 0 0 0 0 0 0 0 0 0 0 0 0 0 143 189 126 65 94 155
Character n t c o n c e p t s i n t h e n e x t c
Milliseconds 71 195 111 139 78 116 109 88 105 0 159 45 83 121 32 30 115 97 0 90 60 135 207 33 122
Character h a p t e r , b u t f o r n o w w e u s
Milliseconds 80 82 118 157 178 89 95 76 138 97 61 82 122 28 123 55 44 142 51 96 103 28 51 153 111
Character e a n i n f o r m a l a p p r o a c h s o
Milliseconds 329 137 101 88 100 105 132 47 88 39 118 78 28 104 90 56 153 122 0 143 96 49 96 111 119
Character y o u w i l l s -s s e e h o w t h e y
Milliseconds 0 125 82 46 59 147 34 166 105 198 426 72 151 275 267 204 88 164 99 49 51 32 76 129 96
Character l e a d n a t u r a l l y t o t h - e m
Milliseconds 42 59 146 69 71 68 26 143 109 65 106 62 112 84 50 112 0 90 47 92 394 371 140 63 113
Character a i n i d e a o f t h i s c h a p t e r ,
Milliseconds 93 61 127 67 119 63 164 137 57 65 61 85 106 61 124 48 46 81 88 83 99 76 77 94 48
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 71 37 81 54 60 76 136 189 91 82 149 85 196 102 35 69 64 94 168 117 74 77 0 129 45
Character l i m i t -l -i -m -i -t l i m i t p l a y s a
Milliseconds 145 117 237 147 64 599 0 0 0 0 138 203 139 160 126 113 0 111 110 54 172 187 47 109 0
Character f o u n d a t i o n a l r o l e t h r o u g h
Milliseconds 96 42 124 129 47 98 147 47 130 120 176 0 147 43 80 133 60 48 108 146 108 51 102 91 105
Character o u t c a l c u l u s .
Milliseconds 0 119 51 48 135 107 40 106 73 136 140 85 99
WPM Timing
Seconds WPM
1.92 93.73
3.84 68.74
5.76 99.98
7.68 114.04
9.6 119.98
11.52 121.85
13.44 126.76
15.36 128.88
17.28 128.45
19.2 130.6
21.12 123.27
23.04 125.5
24.96 126.42
26.88 120.51
28.81 117.06
30.73 117.95
32.65 119.1
34.57 120.81
36.49 114.45
38.41 110.92
40.33 111.59
42.25 113.05
44.17 113.84
46.09 110.92
48.01 109.98
49.93 109.35
51.85 110.4
53.77 109.8
55.69 109.25
57.61 110.19
59.53 107.84
61.45 108.96
63.37 108.88
65.29 109.35
67.21 110.16
69.13 110.05
71.05 107.07
72.97 106.89
74.89 107.35
76.81 107.79
78.73 108.21
80.65 107.87
82.58 107.83
84.5 107.65
86.42 108.04
88.34 108.54
90.26 107.83
92.18 107.27
94.1 107.76
96.02 107.98