John From Merchandising (buckthebunny)

Race #11

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Official speed 85.80 wpm (120.84 seconds elapsed during race)
Without ending ping 85.93 wpm (182 ms delay sending score to TypeRacer’s server)
Timerless 86.03 wpm (142 ms elapsed before first character typed; 120.52 seconds elapsed during race)
Timerless minus one 85.93 wpm, ignoring the first character typed
Race Start June 26, 2024 8:16:23pm UTC
Race Finish June 26, 2024 8:18:24pm UTC
Outcome No win (2 of 2)
Opponents 1. mosabreda (91.65 wpm)
Accuracy 97.3%
Points 231.65
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 understnad hiand how a chancge in one uqquantity is rlatelated to ta change in another. How does the speed of a falling ojvjbject change as a function oof time? How does the level of water in a barrel chancge as a function of the amount of liquid poured into it? We see change occuring iring in nearklyly everything we ovbveserve in the world and universe, and powerful modern insturmeruments helps up see s see more and more. In this section we itnrotrntroduce the ideas of average and instantaneous rates of change, and hshow that they are closely related to the slope of a curve at a point P on the curve. We ivgveive procececise 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 foundation rolaonal role 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 142 185 109 92 144 196 192 116 65 113 101 90 78 103 91 72 172 180 146 67 124 50 145 49 129
Character e l p s u s u n d e r s t n a d h i -i -h - -d
Milliseconds 94 113 49 80 118 71 110 121 135 82 31 85 121 144 165 155 27 91 93 71 85 284 166 147 146
Character -a -n a n d h o w a c h a n c -c g e i n o
Milliseconds 156 147 67 122 130 71 116 45 166 180 71 102 115 148 97 88 129 301 102 140 159 148 78 376 119
Character n e u q -q -u q u a n t i t y i s r l a t -t -a
Milliseconds 86 102 116 284 97 216 132 88 96 84 114 79 104 39 397 364 183 52 128 73 229 184 188 178 159
Character -l e l a t e d t o t -t a c h a n g e i n
Milliseconds 145 114 96 88 147 164 121 100 98 70 69 72 324 73 109 138 87 175 118 139 136 35 171 43 43
Character a n o t h e r . H o w d o e s t h e s p e
Milliseconds 150 56 142 43 143 81 108 98 79 158 125 101 104 61 121 46 177 173 49 99 59 110 58 144 48
Character e d o f a f a l l i n g o j -j v j -j -v b j
Milliseconds 115 103 81 226 80 160 87 117 62 142 30 149 164 71 62 76 56 53 468 146 238 315 131 86 113
Character e c t c h a n g e a s a f u n c t i o n
Milliseconds 84 150 142 77 101 56 96 78 84 108 124 67 86 82 87 85 93 85 74 26 162 37 174 46 79
Character o -o o f t i m e ? H o w d o e s t h e l
Milliseconds 166 309 584 73 120 81 68 100 118 187 92 136 148 104 97 66 118 52 136 127 60 84 87 68 185
Character e v e l o f w a t e r i n a b a r r e l
Milliseconds 45 132 145 12 154 107 76 104 107 96 172 155 96 76 137 71 183 43 113 98 29 160 138 160 95
Character c h a n c -c g e a s a f u n c t i o n o
Milliseconds 120 118 84 100 94 122 292 116 152 151 56 86 94 105 76 125 83 77 29 165 45 159 52 47 133
Character f t h e a m o u n t o f l i q u i d p o
Milliseconds 75 117 102 74 86 93 88 101 84 181 67 48 85 74 82 112 701 168 177 84 200 142 106 210 279
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 152 52 141 121 37 159 70 74 115 118 133 110 199 110 622 244 207 105 169 114 110 204 96 70 103
Character g e o c c u r i n g i -i - -g -n -i r i n g i n
Milliseconds 88 129 68 181 53 133 87 89 89 60 45 128 136 307 171 164 170 295 134 121 62 92 119 155 62
Character n e a r k l y -y -l -k l y e v e r y t h i n g
Milliseconds 118 375 69 114 121 116 5 104 367 159 382 159 120 142 59 148 130 114 72 118 70 152 43 84 114
Character w e o v -v b v e -e -v s e r v e i n t h e w
Milliseconds 90 123 81 141 357 327 83 369 196 272 145 70 165 125 146 133 66 155 76 48 71 103 86 82 87
Character o r l d a n d u n i v e r s e , a n d p o
Milliseconds 105 61 107 57 140 87 131 137 68 164 80 187 104 130 138 145 133 75 125 101 119 84 79 50 159
Character w e r f u l m o d e r n i n s t u r m e -e -m -r
Milliseconds 60 141 146 64 115 201 81 98 109 75 108 101 97 96 97 71 20 175 125 0 209 87 279 158 145
Character -u r u m e n t s h e l p s -s u p s e e - -e
Milliseconds 333 141 92 183 87 96 81 155 24 157 83 126 57 191 280 163 114 190 63 114 157 131 48 301 167
Character -e -s - -p s s e e m o r e a n d m o r e .
Milliseconds 155 152 160 152 116 128 418 197 122 198 8 160 84 163 72 113 101 53 80 107 47 27 140 62 87
Character I n t h i s s e c t i o n w e i t n r o -o
Milliseconds 221 258 41 98 89 38 103 74 67 139 132 140 21 126 57 51 102 142 62 157 48 14 134 117 323
Character -r -n t r -r -t -t n t r o d u c e t h e i d e a s
Milliseconds 154 140 149 187 181 146 149 300 369 165 104 119 211 160 133 142 217 43 113 50 153 11 129 98 69
Character o f a v e r a g e a n d i n s t a n t a n
Milliseconds 57 152 59 108 60 140 131 96 292 115 141 103 77 154 87 111 115 55 23 190 140 114 111 214 95
Character e o u s r a t e s o f c h a n g e , a n d
Milliseconds 344 232 186 72 115 119 130 153 150 144 52 150 74 89 101 86 80 135 98 107 79 99 96 67 85
Character h -h s h o w t h a t t h e y a r e c l o
Milliseconds 117 104 333 100 117 156 94 130 38 98 71 163 97 85 42 224 74 167 92 148 136 82 86 89 158
Character s e l y r e l a t e d t o t h e s l o p e
Milliseconds 23 165 70 129 49 91 188 85 36 178 145 122 103 85 118 53 76 67 117 67 116 121 139 192 73
Character o f a c u r v e a t a p o i n t P
Milliseconds 66 79 72 116 75 109 133 213 89 145 108 123 68 153 108 71 128 670 185 202 68 87 105 125 168
Character o n t h e c u r v e . W e i v -v -i g v e -e
Milliseconds 124 91 112 101 84 106 76 98 81 58 127 116 25 135 134 129 83 228 114 353 141 140 204 168 201
Character -v i v e p r o c e -e -c c -c -o e c i s e d e v e
Milliseconds 132 180 65 140 133 231 107 94 94 140 330 137 64 353 134 48 157 256 120 239 117 95 113 135 99
Character l o p m e n t s o f t h e s e i m p o r t a
Milliseconds 103 160 35 209 144 99 89 195 67 163 43 128 63 91 104 143 153 44 178 75 186 152 63 143 121
Character n t c o n c e p t s i n t h e n e x t c
Milliseconds 84 99 92 84 91 57 24 138 83 111 166 70 141 65 31 62 98 110 79 117 69 134 186 92 73
Character h a p t e r , b u t f o r n o w w e u s
Milliseconds 103 60 161 69 183 122 64 115 107 73 109 75 104 111 53 118 180 55 67 146 35 155 81 150 88
Character e a n i n f o r m a l a p p r o a c h s o
Milliseconds 146 88 108 105 70 117 69 59 134 64 162 369 132 163 257 41 156 58 110 34 115 56 170 117 134
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 52 111 35 153 60 87 64 165 131 156 78 150 118 53 102 181 85 88 90 76 125 38 82 145 24
Character a d n a t u r a l l y t o t h e m a i n
Milliseconds 95 78 86 174 80 150 83 88 142 84 131 66 102 86 114 55 92 55 117 66 68 85 81 68 69
Character i d e a o f t h i s c h a p t e r , t h e
Milliseconds 145 70 120 48 112 166 72 110 88 84 199 79 119 52 113 69 166 67 172 111 48 109 75 67 106
Character l i m i t . T h e i d e a o f a l i m
Milliseconds 66 55 157 102 135 102 229 168 269 166 88 112 214 48 122 87 99 158 86 90 60 109 167 183 53
Character i t p l a y s a f o u n d a t i o n r o l
Milliseconds 167 102 148 208 38 75 173 93 148 66 121 61 128 144 65 20 123 159 30 152 35 69 94 61 170
Character -l -o -r - -n a -a -o o n a l r o l e t h r o u g h
Milliseconds 305 163 151 155 148 24 435 161 868 81 121 110 130 204 132 165 84 83 92 123 103 83 163 77 101
Character o u t c a l c u l u s .
Milliseconds 195 140 72 98 88 120 70 123 144 202 179 128 85
WPM Timing
Seconds WPM
2.42 94.34
4.83 99.31
7.25 84.41
9.67 79.44
12.08 76.47
14.5 72
16.92 77.32
19.33 82.55
21.75 79.44
24.17 83.42
26.58 83.06
29 85.65
31.42 85.94
33.83 89.02
36.25 87.39
38.67 86.89
41.09 86.75
43.5 84.41
45.92 82.84
48.34 81.43
50.75 82.52
53.17 83.51
55.59 83.11
58 82.55
60.42 79.64
62.84 80.78
65.25 80.92
67.67 79.27
70.09 80.3
72.5 80.6
74.92 81.53
77.34 81.77
79.75 82.91
82.17 83.68
84.59 83.56
87 82.62
89.42 81.32
91.84 81.54
94.25 82.37
96.67 83.17
99.09 84.05
101.5 84.29
103.92 85.1
106.34 86.1
108.76 86.84
111.17 87
113.59 87.37
116.01 86.27
118.42 85.63
120.84 85.8