A (avoh0)

Race #735

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Official speed 93.94 wpm (110.37 seconds elapsed during race)
Without ending ping 94.22 wpm (331 ms delay sending score to TypeRacer’s server)
Timerless 94.42 wpm (232 ms elapsed before first character typed; 109.81 seconds elapsed during race)
Timerless minus one 94.31 wpm, ignoring the first character typed
Race Start September 20, 2023 8:48:19pm UTC
Race Finish September 20, 2023 8:50:09pm UTC
Outcome No win (2 of 5)
Opponents 1. jcup (108.76 wpm)
3. pissnugget (83.28 wpm)
4. samur_e9 (72.48 wpm)
Accuracy 96.8%
Points 253.64
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 tahhat helps us udnernderstand how a change in one quantity is related to a change in another. How does the speed of a falling ojebject change as a function of time? How does the leve oll of water in a barrle el change a as a function of the amount ot lf liquieid poured itnonto it? WEe see change occuringring in nearly everything we obeserve in the world and universe, and powerful modern instruments help us see more and more. In htis this sectoinion we introduce the ideas odf acerverage inaand instantaneous rates of canhange, and show that they ware closely related to the slope of ac ur curve a t t a point P on the curve. We give preciesse developments of these important conceeptpts in the next chapter, but for now we use an informal approach toso 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 calcullsys.lus.
Timing
Character C a l c u l u s i s a t o o l t a h -h -a h
Milliseconds 232 151 84 128 76 136 93 99 101 100 87 97 85 123 80 43 160 161 60 118 22 49 298 161 186
Character a t h e l p s u s u d n e r -r -e -n -d n d e r
Milliseconds 53 66 80 91 107 80 163 71 101 21 99 97 49 193 5 166 77 171 161 152 139 188 46 177 64
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 184 104 99 77 84 103 102 51 90 120 97 122 99 111 46 129 77 48 100 127 117 227 91 89 76
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 79 187 78 149 75 199 30 791 160 133 122 93 93 71 62 93 87 81 48 180 70 92 56 105 86
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 119 69 52 128 56 72 39 87 50 141 191 76 76 122 203 102 94 84 96 107 183 65 122 95 78
Character o e s t h e s p e e d o f a f a l l i n
Milliseconds 56 163 83 83 66 94 67 136 114 200 188 175 170 65 70 113 77 65 120 19 99 14 176 83 47
Character g o j e -e -j b j e c t c h a n g e a s a
Milliseconds 21 87 77 145 167 189 119 98 109 67 105 174 78 103 52 119 55 61 44 118 60 105 104 103 94
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 55 68 160 99 160 72 30 80 96 98 96 79 82 46 187 26 283 175 138 190 72 96 73 61 149
Character s t h e l e v e o l -l -o - l o f w a t e
Milliseconds 93 62 113 46 83 94 79 62 114 73 116 114 185 214 154 366 223 89 101 81 81 62 98 102 56
Character r i n a b a r r l e - -e -l e l c h a n g
Milliseconds 113 45 71 130 68 78 123 82 75 102 148 144 11 198 163 180 136 60 154 69 109 185 80 139 31
Character e a a -a - s a f u n c t i o n o f t h
Milliseconds 58 85 52 190 110 300 158 74 118 57 140 63 69 179 15 182 69 21 85 98 116 180 135 80 75
Character e a m o u n t o t l -l - -t f l i q u i e -e
Milliseconds 53 82 79 65 124 74 170 77 122 78 144 107 137 267 166 136 75 76 95 54 123 137 66 46 369
Character -i i d p o u r e d i t n o -o -n -t n t o i t ?
Milliseconds 179 572 120 133 161 197 69 44 36 173 60 16 183 85 158 212 148 133 217 121 79 177 95 117 201
Character W E -E e s e e c h a n g e o c c u r i n g
Milliseconds 135 72 107 281 184 108 75 48 153 104 73 86 97 69 51 72 62 145 136 164 64 236 82 164 79
Character -g -n -i r i n g i n n e a r l y e v e r y t h
Milliseconds 302 158 144 115 107 66 116 35 120 233 126 237 87 69 68 91 90 91 161 141 97 103 121 80 126
Character i n g w e o b e -e s e r v e i n t h e w
Milliseconds 18 92 26 110 96 88 105 129 136 196 264 83 40 90 229 78 76 91 119 79 85 23 64 91 52
Character o r l d a n d u n i v e r s e , a n d p o
Milliseconds 83 133 88 59 118 158 109 98 82 63 174 32 120 190 209 119 44 131 98 59 96 110 91 72 179
Character w e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 31 5 90 144 51 138 133 131 163 51 173 262 152 117 390 127 98 101 84 93 152 76 96 64 70
Character h e l p u s s e e m o r e a n d m o r
Milliseconds 51 170 87 101 189 79 102 90 104 81 63 152 67 50 147 61 13 175 39 77 133 86 80 134 66
Character e . I n h t i s - -s -i -t -h t h i s s e c t
Milliseconds 34 117 46 164 166 78 101 0 61 72 90 208 166 145 193 122 339 83 46 108 56 114 98 156 173
Character o i n -n -i -o i o n w e i n t r o d u c e t h
Milliseconds 76 4 128 277 167 129 268 63 73 152 108 106 126 123 130 95 70 99 160 195 94 68 94 185 65
Character e i d e a s o d -d f a c e r -r -e -c v e r a g
Milliseconds 53 94 41 84 155 62 128 122 94 118 278 131 113 70 168 123 92 230 173 150 66 116 77 117 106
Character e i n -n a -a -i a n d i n s t a n t a n e o u s
Milliseconds 62 63 140 163 222 95 285 148 80 109 68 109 114 274 126 100 120 124 154 254 155 150 175 82 105
Character r a t e s o f c a n -n -a h a n g e , a n d
Milliseconds 96 80 83 104 58 127 51 85 87 104 101 145 181 248 125 198 77 108 76 27 95 68 72 83 75
Character s h o w t h a t t h e y w -w a r e c l o
Milliseconds 81 70 52 26 105 99 75 54 267 89 162 108 82 48 91 92 77 238 110 82 68 57 149 82 156
Character s e l y r e l a t e d t o t h e s l o p e
Milliseconds 74 44 118 92 101 92 53 94 92 84 58 163 67 85 33 129 71 54 40 102 52 42 165 154 51
Character o f a c u r -r -u - -c c u r v e a t -
Milliseconds 79 75 72 84 42 163 0 153 30 214 169 177 98 182 60 159 51 194 58 78 79 214 0 239 127
Character -t - t a p o i n t P o n t h e c u r v
Milliseconds 160 144 61 125 73 113 62 203 110 79 85 103 242 128 124 129 118 73 88 32 106 51 110 71 178
Character e . W e g i v e p r e c i e s -s -e s e d e
Milliseconds 66 127 146 439 232 92 98 71 113 47 76 79 70 80 131 70 136 16 349 144 78 22 118 110 169
Character v e l o p m e n t s o f t h e s e i m p o r
Milliseconds 79 85 96 193 166 167 92 98 49 78 58 45 135 110 45 50 47 152 25 148 136 184 146 206 79
Character t a n t c o n c e e p t -t -p -e p t s i n t h
Milliseconds 173 82 22 121 108 90 47 99 97 19 66 154 88 204 163 146 199 54 87 38 60 133 70 80 40
Character e n e x t c h a p t e r , b u t f o r n
Milliseconds 48 93 72 25 177 97 90 107 89 95 93 137 140 88 84 108 122 64 118 91 75 46 124 119 33
Character o w w e u s e a n i n f o r m a l a p p
Milliseconds 63 85 98 61 51 101 50 90 30 106 57 83 120 69 92 61 105 83 107 102 86 55 101 98 134
Character r o a c h t o -o -t s o y o u w i l l s e e
Milliseconds 113 55 135 62 56 85 84 64 350 142 86 121 64 85 48 35 103 48 45 185 129 49 56 46 181
Character h o w t h e y l e a d n a t u r a l l y
Milliseconds 96 66 32 120 120 243 74 51 80 104 39 79 41 122 35 108 85 103 163 222 180 106 151 35 109
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 124 43 113 84 18 94 245 104 131 111 134 165 159 131 154 93 73 32 126 119 80 40 15 83 78
Character c h a p t e r , t h e l i m i t . T h e i
Milliseconds 69 55 104 127 114 99 79 57 80 86 78 79 83 284 173 188 172 108 95 118 198 60 164 134 60
Character d e a o f a l i m i t p l a y s a f o
Milliseconds 78 170 88 60 90 90 98 52 128 63 136 183 162 39 89 48 152 82 139 95 159 242 278 98 92
Character u n d a t i o n a l r o l e t h r o u g h o u
Milliseconds 26 178 48 72 138 81 77 79 135 180 121 157 71 186 25 75 66 49 117 48 68 135 41 121 115
Character t c a l c u l l s -s -l y s . -. -s -y -l l u s .
Milliseconds 35 100 120 87 38 162 50 117 315 206 356 145 63 60 103 283 163 171 90 610 110 168 93
WPM Timing
Seconds WPM
2.21 103.29
4.41 92.42
6.62 86.98
8.83 92.42
11.04 91.33
13.24 96.95
15.45 97.85
17.66 98.53
19.87 102.69
22.07 103.29
24.28 99.34
26.49 97.85
28.7 96.6
30.9 98.24
33.11 93.87
35.32 91.74
37.53 90.5
39.73 89.7
41.94 90.13
44.15 90.52
46.35 92.16
48.56 93.16
50.77 93.13
52.98 94.68
55.18 92.64
57.39 91.58
59.6 92.22
61.81 90.67
64.01 89.61
66.22 90.06
68.43 90.49
70.64 90.72
72.84 92.25
75.05 90.98
77.26 90.55
79.47 90.76
81.67 90.65
83.88 91.27
86.09 91.16
88.29 92.15
90.5 93.48
92.71 93.58
94.92 94.44
97.12 94.52
99.33 95.56
101.54 95.37
103.75 95.43
105.95 96.04
108.16 95.41
110.37 93.94