ScaceProf (scapeprof)

Race #14

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Official speed 65.86 wpm (157.42 seconds elapsed during race)
Without ending ping 66.02 wpm (373 ms delay sending score to TypeRacer’s server)
Timerless 66.22 wpm (478 ms elapsed before first character typed; 156.57 seconds elapsed during race)
Timerless minus one 66.14 wpm, ignoring the first character typed
Race Start November 10, 2023 10:21:51am UTC
Race Finish November 10, 2023 10:24:28am UTC
Outcome No win (5 of 5)
Opponents 2. d_reamer (87.27 wpm)
Accuracy 95.2%
Points 177.83
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 heklps us sudenrstnnderstand how cha change in one quantity is reallated to a change in another. How does the speed of a faliing ling object change a s a ufunction of time? How does the level of wasteter ina ab baerelrrel change as a function of the amount of liquid pourtedred into it? We see change iccoccurrin g in anearly everyhthuing we observe in the world and univsererse, and wpowerful modern insrtetruments help us see more and more. In this section we introduccee the ideas of eaverage and instatntaneous rates of chaange, adnd shwow theat theyare are closeslly related otto the sclope of a cirurve oaat a point P on the courve. We giceve precise devreloptments of these impirortant ceoncepts in the next chapter, but for now we use an informal approach so you will see how they lread ead naturally to the main idea of this chapter, the limit. IdeThe ideao of a limit plays a foundationral role thougroughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 478 210 130 241 79 197 215 85 89 145 93 57 68 81 104 87 136 144 136 117 91 112 60 101 162
Character e k -k l p s u s s -s u d e n r s t -t -s -r -n -e n
Milliseconds 108 97 583 182 149 85 108 208 102 96 172 196 193 92 46 0 145 162 65 331 122 119 123 110 279
Character -n -d n d e r s t a n d h o w c h -h -c a c h a
Milliseconds 179 127 169 66 44 157 171 88 110 398 172 87 180 186 92 87 187 67 280 123 118 109 104 91 107
Character n g e i n o n e q u a n t i t y i s r e
Milliseconds 92 201 68 91 145 87 144 272 154 175 105 262 130 104 116 186 399 106 195 168 155 107 83 258 163
Character a l -l -a l a t e d t o a c h a n g e i n
Milliseconds 112 109 391 112 191 72 172 143 104 70 117 71 149 356 136 146 93 102 70 166 87 66 141 111 126
Character a n o t h e r . H o w d o e s t h e s p e
Milliseconds 45 141 176 94 115 85 155 111 156 195 158 124 92 109 85 45 191 113 95 42 124 69 138 129 175
Character e d o f a f a l i i n g - -g -n -i -i l i n g
Milliseconds 144 107 108 168 141 108 92 68 138 90 63 160 134 104 91 66 215 135 105 113 129 223 166 104 86
Character o b j e c t c h a n g e a - s a u -u f
Milliseconds 80 143 147 83 161 132 266 156 261 110 92 87 148 86 68 68 108 429 146 142 72 91 249 257 132
Character u n c t i o n o f t i m e ? H o w d o e s
Milliseconds 134 127 43 159 25 153 132 119 148 93 89 154 45 128 102 200 169 215 198 109 87 104 88 67 161
Character t h e l e v e l o f w a s t e -e -t -s t e r
Milliseconds 87 149 41 121 62 146 82 146 84 90 192 169 90 88 88 64 126 47 154 288 135 99 93 158 154
Character i n a - -a a b - -b b a e -e r e l -l r -r -e
Milliseconds 67 126 135 123 23 389 120 191 86 147 96 366 135 206 95 182 242 254 88 63 91 289 145 193 119
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 122 68 109 189 447 195 106 88 139 64 117 66 85 86 109 89 285 45 134 67 155 43 147 119 138
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 175 160 102 109 66 124 46 154 87 151 177 121 43 108 146 65 87 149 216 112 232 213 142 68 326
Character o u r t e d -d -e -t -r r e d i n t o i t ? W e
Milliseconds 242 236 115 186 162 86 215 135 117 203 724 159 108 67 186 130 84 92 164 192 91 229 202 216 197
Character s e e c h a n g e i c c -c -c -i o c c u r r i
Milliseconds 108 201 181 133 111 150 86 92 84 164 47 95 172 106 146 208 127 114 231 108 113 325 142 589 128
Character n - g i n a -a n e a r l y e v e r y h -h t
Milliseconds 144 167 252 114 104 156 147 101 125 372 173 68 68 125 192 110 138 144 144 88 116 88 196 233 135
Character h u -u i n g w e o b s e r v e i n t h e
Milliseconds 97 215 343 612 133 66 133 136 150 68 268 172 195 172 163 159 68 131 159 126 121 88 110 87 69
Character w o r l d a n d u n i v s e r -r -e -s e r s e ,
Milliseconds 126 129 432 148 118 114 241 66 126 67 339 144 146 87 137 159 165 216 165 115 99 178 176 162 89
Character a n d w -w p o w e r f u l m o d e r n i n
Milliseconds 145 108 86 90 67 153 262 414 198 89 146 164 201 112 155 128 168 162 67 42 150 219 160 208 142
Character s r t e -e -t -r t r u m e n t s h e l p u s s
Milliseconds 131 198 23 107 273 128 139 97 65 174 353 131 71 85 199 89 146 135 88 155 183 532 92 87 75
Character e e m o r e a n d m o r e . I n t h i s
Milliseconds 184 142 104 146 170 22 69 89 106 65 95 68 130 163 46 67 114 192 209 167 166 123 88 156 88
Character s e c t i o n w e i n t r o d u c c e -e -c e
Milliseconds 83 87 179 157 185 76 114 135 129 123 152 86 530 136 47 91 103 170 65 120 201 76 262 140 243
Character t h e i d e a s o f e -e a v e r a g e a
Milliseconds 162 116 84 94 113 173 89 39 64 130 239 226 104 135 141 232 105 125 90 232 300 175 141 104 105
Character n d i n s t a t -t n t a n e o u s r a t e s
Milliseconds 88 85 86 405 171 64 202 238 231 372 185 102 545 111 230 248 231 129 89 398 191 155 88 136 64
Character o f c h a a -a n g e , a d -d n d s h w -w o w
Milliseconds 144 107 67 163 110 0 823 422 170 179 46 202 166 90 183 247 203 122 45 218 90 314 219 213 110
Character t h e -e a t t h e y a r e - -e -r -a a r e
Milliseconds 93 109 112 120 276 210 177 64 163 92 116 47 152 117 88 45 245 136 122 111 166 110 106 65 151
Character c l o s e s l -l -s l y r e l a t e d o t -t -o t
Milliseconds 466 379 207 65 152 189 543 205 113 146 108 145 392 88 208 69 178 140 86 68 157 153 200 116 153
Character o t h e s c -c l o p e o f a c i r -r -i u
Milliseconds 116 163 87 128 98 236 223 215 321 234 127 187 252 106 264 220 137 114 90 121 327 45 223 130 210
Character r v e o a -a -o a t a p o i n t P o n t
Milliseconds 45 128 65 67 181 100 149 102 115 177 66 133 84 177 200 174 128 46 100 184 209 192 158 124 110
Character h e c o -o u r v e . W e g i c e -e -c v e p
Milliseconds 72 111 43 214 133 221 214 156 160 90 48 144 1385 191 108 134 173 65 66 177 132 63 49 117 212
Character r e c i s e d e v r -r e l o p t -t m e n t s o
Milliseconds 130 70 232 169 94 746 160 146 65 273 88 445 321 129 619 148 128 535 246 65 173 90 184 67 140
Character f t h e s e i m p i r -r -i o r t a n t c e -e
Milliseconds 66 189 105 87 119 200 173 94 213 158 141 195 156 275 141 197 89 160 194 234 130 97 290 109 302
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 215 203 163 65 113 127 207 67 156 154 142 90 162 167 130 179 45 163 160 44 181 84 129 121 187
Character e r , b u t f o r n o w w e u s e a n
Milliseconds 181 152 66 135 117 88 91 108 158 106 92 105 166 165 111 90 142 183 92 165 91 166 114 47 166
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 213 535 154 90 88 88 87 107 92 135 159 94 121 180 44 200 278 96 136 285 90 138 63 123 67
Character w i l l s e e h o w t h e y l r e a d
Milliseconds 156 150 130 188 391 169 90 165 141 133 153 178 65 101 115 105 174 49 126 229 87 60 32 101 169
Character - -d -a -e -r e a d n a t u r a l l y t o t h e
Milliseconds 188 136 133 144 138 155 87 66 107 438 92 198 446 118 184 86 102 68 100 224 90 143 369 91 108
Character m a i n i d e a o f t h i s c h a p t e
Milliseconds 63 150 85 94 116 131 178 107 92 56 73 155 92 78 89 88 141 88 63 459 120 89 138 170 187
Character r , t h e l i m i t . I d e -e -d -I T h e i
Milliseconds 171 65 132 108 85 108 66 154 182 116 121 94 129 178 180 209 65 215 131 110 289 199 118 86 166
Character d e a o -o o f a l i m i t p l a y s a
Milliseconds 89 59 68 244 429 177 150 66 108 112 67 137 175 117 127 24 209 394 128 68 191 199 90 69 92
Character f o u n d a t i o n r -r a l r o l e t h o u g
Milliseconds 161 299 229 137 90 206 373 106 162 132 264 305 120 92 231 110 113 130 65 107 256 196 68 174 109
Character -g -u -o r o u g h o u t c a l c u l u s .
Milliseconds 228 143 112 154 170 203 92 107 423 199 89 86 131 50 122 161 469 202 172 67 108
WPM Timing
Seconds WPM
3.15 83.85
6.3 64.79
9.45 58.44
12.59 61.93
15.74 60.22
18.89 66.7
22.04 71.33
25.19 69.08
28.34 69.03
31.48 72.42
34.63 71.72
37.78 67.65
40.93 69.19
44.08 71.05
47.23 68.35
50.38 69.32
53.52 67.26
56.67 67.33
59.82 66.8
62.97 67.46
66.12 66.43
69.27 66.53
72.42 66.62
75.56 68.29
78.71 68.15
81.86 68.31
85.01 67.9
88.16 68.06
91.31 67.16
94.45 66.44
97.6 65.65
100.75 65.63
103.9 65.02
107.05 65.24
110.2 64.79
113.35 64.58
116.49 63.66
119.64 63.79
122.79 63.72
125.94 64.51
129.09 64.89
132.24 65.52
135.39 65.5
138.53 65.4
141.68 66.06
144.83 66.12
147.98 66.25
151.13 66.3
154.28 65.88
157.42 65.86