Kade (kadok)

Race #4842

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Official speed 94.87 wpm (109.29 seconds elapsed during race)
Without ending ping 95.04 wpm (193 ms delay sending score to TypeRacer’s server)
Timerless 96.29 wpm (1,420 ms elapsed before first character typed; 107.67 seconds elapsed during race)
Timerless minus one 96.18 wpm, ignoring the first character typed
Race Start September 25, 2023 2:28:28pm UTC
Race Finish September 25, 2023 2:30:17pm UTC
Outcome Win (1 of 4)
Opponents 2. bushybrows (94.81 wpm)
Accuracy 97.6%
Points 256.16
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 a change in another. How does the speed of a falling object change as a fucntionction of time? How does the elvelevel of water in a barrel change as a function of the amount of liquid poured into it? WWe see change cooccuriring in nearly everything we observe in the world and inuuniverse, and powerful modern instrumetnnnnts help us see more and more. In this section we introduce the diideas of average and intstanttaneous rates of change, and show that they ware closely related to the slope of a vucurve at a point P on tthe he curve. We give precise develiopments of these ipmportant concetppts in the next chaper,ter, but for now we use an informal approach so you will see how they lead naturally to the main idea of this chaper,ter, the limit. The idea of a limit plays a foundational rol3e the throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 1420 189 76 182 108 526 124 73 126 75 71 75 86 92 117 90 119 168 63 118 97 59 77 103 90
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 148 109 121 93 99 76 76 75 104 144 44 181 75 164 46 109 117 107 89 59 76 89 75 92 96
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 116 77 114 59 251 140 83 76 76 55 106 79 69 61 304 100 138 29 164 102 122 86 106 161 79
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 88 135 70 75 120 75 116 161 59 26 119 45 137 92 107 84 90 64 55 106 104 47 58 46 104
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 77 90 90 89 80 74 92 41 183 232 79 104 169 44 117 101 76 103 30 137 87 77 77 105 106
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 166 75 76 87 89 30 102 292 75 61 148 139 70 60 61 120 91 77 117 94 177 125 120 92 92
Character n g e a s a f u c n t i o -o -i -t -n -c n c t i
Milliseconds 70 59 111 85 76 69 114 90 62 90 88 126 30 150 76 118 160 136 150 147 136 183 208 195 75
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 63 79 102 106 78 92 61 59 76 83 194 270 244 221 93 105 133 73 73 112 106 61 61 76 64
Character e l v e -e -v -l -e l e v e l o f w a t e r i n
Milliseconds 146 0 109 136 268 142 141 113 195 69 89 111 94 115 232 58 84 385 103 97 125 87 59 123 57
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 73 91 90 99 157 78 146 84 93 83 114 89 111 60 75 90 118 59 78 78 103 76 84 108 144
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 70 147 31 89 62 65 104 86 76 108 94 77 46 80 123 140 77 140 90 78 92 78 63 123 93
Character q u i d p o u r e d i n t o i t ? W W -W e
Milliseconds 619 92 82 135 109 293 109 63 139 175 167 45 92 63 66 92 90 201 307 205 195 279 83 472 92
Character s e e c h a n g e c o -o -c o c c u r i -i r i
Milliseconds 96 121 108 140 78 107 93 123 30 107 107 77 77 199 201 110 183 77 124 279 186 112 243 141 151
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 76 62 79 111 75 108 138 80 64 90 48 91 93 109 140 107 62 46 94 75 108 77 32 76 97
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 105 62 201 111 352 96 88 154 94 107 69 71 47 62 61 78 65 45 122 61 93 79 63 89 78
Character d i n u -u -n -i u n i v e r s e , a n d p o w
Milliseconds 106 63 108 92 155 247 140 155 176 164 124 137 123 80 132 71 76 91 179 73 101 79 59 84 79
Character e r f u l m o d e r n i n s t r u m e t n n -n
Milliseconds 76 60 195 386 127 117 179 106 114 159 60 81 106 72 78 88 62 131 89 165 114 91 0 25 347
Character -n n -n -t n t s h e l p u s s e e m o r e
Milliseconds 142 340 238 123 140 129 131 123 277 101 53 111 109 75 130 57 118 95 140 76 54 106 73 79 60
Character a n d m o r e . I n t h i s s e c t i o n
Milliseconds 87 58 87 75 62 79 94 136 167 252 264 174 85 102 61 99 45 76 195 79 131 152 38 93 61
Character w e i n t r o d u c e t h e d i -i -d i d e
Milliseconds 70 139 87 96 120 54 45 136 74 210 105 100 115 71 87 51 71 81 105 87 272 152 173 43 160
Character a s o f a v e r a g e a n d i n t -t s t a
Milliseconds 100 108 100 176 517 104 286 121 120 71 128 91 110 90 64 93 78 91 123 94 246 292 93 64 97
Character n t t -t a n e o u s r a t e s o f c h a n g
Milliseconds 63 196 61 434 109 80 198 154 107 202 109 182 92 108 105 94 109 78 95 119 124 92 111 64 72
Character e , a n d s h o w t h a t t h e y w -w a
Milliseconds 94 77 93 63 107 93 76 124 109 107 31 93 77 48 65 117 62 93 121 108 93 77 123 277 81
Character r e c l o s e l y r e l a t e d t o t h e
Milliseconds 90 92 93 78 62 170 61 61 159 104 110 231 138 92 92 94 95 166 61 62 62 123 77 45 79
Character s l o p e o f a v u -u -v c u r v e a t
Milliseconds 79 79 74 169 78 127 89 78 93 63 125 123 154 203 232 123 62 125 91 154 110 90 94 139 110
Character a p o i n t P o n t t h e - -e -h -t h e
Milliseconds 79 87 78 62 93 62 95 105 232 295 108 94 65 120 32 15 154 159 149 139 125 152 234 74 78
Character c u r v e . W e g i v e p r e c i s e d e
Milliseconds 110 93 108 172 108 108 95 246 292 123 218 151 78 77 76 170 93 92 111 134 109 246 124 124 153
Character v e l i -i o p m e n t s o f t h e s e i p -p
Milliseconds 139 125 109 152 295 186 124 174 104 76 61 126 96 87 94 31 108 30 112 150 78 110 29 187 466
Character m p o r t a n t c o n c e t p -p -t p t s i n
Milliseconds 154 220 275 140 153 83 41 124 112 123 56 46 95 120 126 47 354 109 171 95 105 62 233 80 58
Character t h e n e x t c h a p e r , -, -r -e t e r , b
Milliseconds 77 63 93 81 61 96 182 100 106 115 74 102 75 113 91 162 267 132 169 71 114 70 75 118 105
Character u t f o r n o w w e u s e a n i n f o
Milliseconds 67 76 119 114 43 102 89 109 68 95 97 148 91 130 148 76 80 60 97 99 101 102 62 104 75
Character r m a l a p p r o a c h s o y o u w i l l
Milliseconds 88 70 112 86 75 115 149 129 86 54 155 113 102 60 131 58 69 113 58 76 95 56 114 163 136
Character s e e h o w t h e y l e a d n a t u r a
Milliseconds 63 138 100 163 146 306 68 73 84 126 69 130 45 73 96 86 78 208 92 175 91 101 193 113 156
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 84 111 128 85 108 68 110 70 70 100 77 118 137 128 100 99 123 96 157 69 116 88 101 28 79
Character h i s c h a p e r , -, -r -e t e r , t h e l i
Milliseconds 104 90 99 68 151 100 93 88 108 98 125 268 152 136 89 151 119 134 151 237 98 77 72 58 83
Character m i t . T h e i d e a o f a l i m i t
Milliseconds 129 125 107 102 83 138 81 127 65 207 165 131 72 103 88 81 64 135 90 63 89 135 148 93 99
Character p l a y s a f o u n d a t i o n a l r o l 3
Milliseconds 78 114 62 120 119 88 89 99 130 137 28 163 51 107 60 95 43 77 113 118 161 193 75 125 130
Character e t h -h -t - -e -3 e t h r o u g h o u t c a l
Milliseconds 0 60 135 41 229 161 124 115 164 151 117 109 58 115 86 58 137 165 374 41 74 91 200 119 82
Character c u l u s .
Milliseconds 127 152 552 94 98 113
WPM Timing
Seconds WPM
2.19 27.45
4.37 68.63
6.56 86.01
8.74 93.33
10.93 97.72
13.11 102.48
15.3 105.88
17.49 107.74
19.67 100.65
21.86 101.02
24.04 97.82
26.23 97.91
28.41 100.93
30.6 100.78
32.79 100.65
34.97 97.79
37.16 95.92
39.34 97.3
41.53 98.24
43.71 96.9
45.9 97.25
48.09 97.08
50.27 95.24
52.46 96.08
54.64 97.07
56.83 96.5
59.01 96.18
61.2 94.71
63.39 95.23
65.57 95.89
67.76 96.34
69.94 96.42
72.13 96.49
74.31 95.43
76.5 95.22
78.69 94.4
80.87 94.22
83.06 93.62
85.24 94.04
87.43 93.88
89.61 94.54
91.8 95.16
93.99 95.25
96.17 95.7
98.36 95.41
100.54 95.48
102.73 95.9
104.91 96.31
107.1 95.35
109.29 94.87