Van (cloudblue)

Race #7

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Official speed 104.36 wpm (99.35 seconds elapsed during race)
Without ending ping 104.51 wpm (143 ms delay sending score to TypeRacer’s server)
Timerless 104.71 wpm (193 ms elapsed before first character typed; 99.01 seconds elapsed during race)
Timerless minus one 104.59 wpm, ignoring the first character typed
Race Start October 5, 2023 2:14:38pm UTC
Race Finish October 5, 2023 2:16:18pm UTC
Outcome Win (1 of 3)
Opponents 2. azeem838 (79.21 wpm)
Accuracy 97.1%
Points 281.76
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 thea tool that helps us understand how a change in one quantttity is related to a change in another. How codoes a the speed of a falling objecti ve change as a function of time? How does the level of water in a barrel change as functa function of the amount of liquid poured into it? We see change occurring in nearly everyhing tything we observe in teh worlhe 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 teh slhe slope of a curve at a appoin Pt P on the curve. We give precise developments of these important concepts in the next chapter, ut fbu fot for now we use an informal approach so you will how tsee how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role thourhgroughtouout calculus.
Timing
Character C a l c u l u s i s t h e -e -h -t a t o o l
Milliseconds 193 553 116 99 68 240 45 150 78 103 121 110 38 89 16 302 105 119 75 79 55 92 105 151 44
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 106 75 74 42 47 105 73 93 120 74 76 75 120 105 150 45 57 138 61 104 65 52 62 106 104
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 60 60 58 77 60 91 104 61 45 110 52 79 14 61 73 58 137 46 106 73 211 57 93 75 90
Character t -t -t t i t y i s r e l a t e d t o a c
Milliseconds 164 301 119 751 102 77 76 75 375 91 89 104 43 108 75 75 60 120 75 105 45 42 45 109 74
Character h a n g e i n a n o t h e r . H o w c o -o
Milliseconds 89 32 88 31 75 46 254 60 75 105 57 15 107 74 61 76 61 56 153 135 56 64 120 119 225
Character -c d o e s a - -a t h e s p e e d o f a
Milliseconds 90 43 109 44 74 60 91 75 420 103 632 44 57 79 120 105 134 105 151 46 41 77 75 77 88
Character f a l l i n g o b j e c t i v e -e -v - -i c h
Milliseconds 240 76 31 105 58 75 13 63 74 90 90 106 180 60 58 76 90 106 179 120 135 136 150 75 75
Character a n g e a s a f u n c t i o n o f t i m
Milliseconds 57 92 28 77 46 143 157 104 183 81 96 106 74 61 75 45 74 27 82 54 15 123 27 77 61
Character e ? H o w d o e s t h e l e v e l o f
Milliseconds 89 180 195 121 120 77 73 90 75 90 92 42 90 45 43 63 89 90 181 60 44 61 90 44 108
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 58 104 75 120 76 56 78 75 32 58 106 90 119 207 169 75 119 106 150 74 46 74 58 47 46
Character a s f u n c t -t -c -n -u -f a f u n c t i o n o
Milliseconds 105 44 58 182 32 74 135 105 301 118 120 120 135 106 75 104 150 13 93 75 74 78 19 85 73
Character f t h e a m o u n t o f l i q u i d p o
Milliseconds 13 122 31 60 57 77 57 63 90 76 135 44 90 32 104 60 134 75 121 105 74 150 88 169 148
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 57 79 120 135 59 46 29 136 42 77 75 105 166 164 108 162 105 120 91 164 165 105 76 89 61
Character g e o c c u r r i n g i n n e a r l y e v
Milliseconds 90 60 299 240 240 120 58 123 269 196 60 58 107 165 57 77 150 91 119 58 79 50 53 182 120
Character e r y h i n g - -g -n -i -h -y t -t y t h i n g w e
Milliseconds 131 62 28 182 14 46 105 60 286 104 118 122 120 120 60 285 360 135 136 29 105 45 48 103 60
Character o b s e r v e i n t e h w o r l -l -r -o -w -
Milliseconds 89 180 91 164 31 60 179 43 93 75 46 71 34 73 14 136 46 89 76 120 224 120 120 120 120
Character -h -e h e w o r l d a n d u n i v e r s e ,
Milliseconds 120 120 135 32 88 75 105 76 90 75 74 75 91 89 42 93 120 28 33 147 44 168 44 122 74
Character a n d p o w e r f u l m o d e r n i n s t r
Milliseconds 90 90 46 86 78 121 37 38 41 138 31 104 75 135 45 75 165 91 75 105 195 14 120 60 120
Character u m e n t s h e l p u s s e e m o r e a
Milliseconds 45 150 76 75 56 93 60 76 74 105 120 75 75 105 91 104 195 135 76 44 46 120 59 32 88
Character n d m o r e . I n t h i s s e c t i o n
Milliseconds 61 57 61 76 58 78 75 74 58 123 120 74 45 45 77 30 91 215 239 519 104 32 44 43 76
Character w e i n t r o d u c e t h e i d e a s o f
Milliseconds 196 536 79 179 30 77 134 57 78 57 93 179 13 107 16 90 29 212 238 165 136 44 105 60 135
Character a v e r a g e a n d i n s t a n t a n e o u
Milliseconds 61 149 121 119 105 90 75 48 41 92 59 79 53 109 74 90 301 149 151 330 90 254 73 152 42
Character s r a t e s o f c h a n g e , a n d s h
Milliseconds 108 75 136 89 109 53 92 13 63 74 76 90 60 76 46 119 74 62 73 45 92 41 77 154 87
Character o w t h a t t h e y a r e c l o s e l y
Milliseconds 31 148 105 75 120 150 57 79 90 59 75 90 75 75 105 57 108 120 75 102 80 29 89 61 41
Character r e l a t e d t o t e h s l -l -s - -h -e h e
Milliseconds 79 41 78 75 60 46 134 61 89 42 45 48 105 15 75 120 92 313 120 117 138 105 120 45 105
Character s l o p e o f a c u r v e a t a a p -p
Milliseconds 27 138 150 135 120 76 89 135 30 75 105 621 84 75 196 75 56 77 121 45 705 74 166 46 284
Character -a p o i n P -P - t P o n t h e c u r v e
Milliseconds 120 119 151 59 30 123 149 254 120 180 136 225 164 135 75 150 89 59 16 106 105 75 150 226 56
Character . W e g i v e p r e c i s e d e v e l o p
Milliseconds 108 75 225 150 104 77 89 92 40 93 75 135 30 240 60 150 30 105 165 150 120 72 45 153 102
Character m e n t s o f t h e s e i m p o r t a n t
Milliseconds 78 135 91 74 120 150 46 179 225 225 120 46 149 29 91 91 59 120 90 42 152 77 57 77 93
Character c o n c e p t s i n t h e n e x t c h a p
Milliseconds 147 45 28 105 167 75 75 76 74 57 45 78 45 72 15 107 58 45 198 45 92 178 315 119 92
Character t e r , u t f -f - -t -u b u f o -o -f - t f o
Milliseconds 89 120 90 134 43 213 89 46 195 254 106 135 119 93 59 164 104 93 357 135 102 364 210 135 105
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 58 44 78 42 93 90 315 45 90 330 105 29 76 151 119 390 195 57 77 107 74 90 105 75 91
Character a p p r o a c h s o y o u w i l l h o w
Milliseconds 89 57 109 88 58 94 105 72 19 118 57 63 29 77 59 57 77 61 135 102 78 105 45 90 90
Character t -t - -w -o -h s e e h o w t h e y l e a d n
Milliseconds 119 436 89 136 135 104 106 17 163 90 45 45 60 75 59 60 59 92 60 104 60 92 89 74 91
Character a t u r a l l y t o t h e m a i n i d e a
Milliseconds 107 73 73 122 60 31 119 45 58 63 43 76 29 91 44 91 76 77 87 75 59 301 72 138 105
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 17 55 92 45 91 30 57 46 76 120 61 75 105 57 153 60 60 42 92 75 61 89 60 58 169
Character i t . T h e i d e a o f a l i m i t p
Milliseconds 29 105 136 56 93 89 60 91 136 74 119 91 60 45 90 57 61 92 61 44 150 57 109 74 75
Character l a y s a f o u n d a t i o n a l r o l e
Milliseconds 135 87 93 89 61 119 136 480 57 45 153 32 55 77 58 62 60 73 93 59 76 105 133 77 57
Character t h o u r h g -g -h -r -u -o r o u g h t o u -u -o -t o u
Milliseconds 77 77 88 91 14 151 57 287 105 135 121 119 46 90 61 41 93 89 106 45 315 120 105 135 31
Character t c a l c u l u s .
Milliseconds 74 61 179 75 29 135 14 77 149 436 120
WPM Timing
Seconds WPM
1.99 72.47
3.97 87.57
5.96 106.7
7.95 102.67
9.93 99.05
11.92 108.71
13.91 100.94
15.9 99.65
17.88 97.97
19.87 102.67
21.86 105.41
23.84 107.7
25.83 105.46
27.82 107.41
29.8 109.11
31.79 109.09
33.78 107.29
35.77 106.02
37.75 102.99
39.74 102.07
41.73 101.81
43.71 103.49
45.7 105.03
47.69 106.7
49.67 105.57
51.66 105.69
53.65 106.7
55.64 105.9
57.62 107.46
59.61 109.11
61.6 107.54
63.58 106.82
65.57 105.23
67.56 104.27
69.54 104.57
71.53 104.51
73.52 104.79
75.5 105.69
77.49 104.22
79.48 102.52
81.47 102.23
83.45 103.24
85.44 101.97
87.43 103.22
89.41 104.41
91.4 105.29
93.39 106.01
95.37 106.32
97.36 104.89
99.35 104.36