DHC (davethegreat)

Race #14

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Official speed 97.02 wpm (106.86 seconds elapsed during race)
Without ending ping 97.43 wpm (449 ms delay sending score to TypeRacer’s server)
Timerless 97.59 wpm (176 ms elapsed before first character typed; 106.24 seconds elapsed during race)
Timerless minus one 97.48 wpm, ignoring the first character typed
Race Start November 28, 2023 5:24:51am UTC
Race Finish November 28, 2023 5:26:38am UTC
Outcome Win (1 of 5)
Opponents 2. scottiedont (93.36 wpm)
3. danisirico (80.26 wpm)
Accuracy 96.7%
Points 261.96
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 understaannd how a hchangvge ie in one quanittity is related to a change in another . How does the speed of a falling object change as a function of tiemme? How does the level of water in a abbarrel change as a funt\cction of the amount of liquid pooured into it? wW ee see change occurring in nearly evertything we observe in the world an dunid nuniverse, and powerful modern instruments help us eeesee more and moer. re. In thsi is section we introduce the ideas of average iand instantanoueous rates of change, and show that they are closely related to the slope of a curve at a point P Oon the curve. We give precise developments of thesei importatnnt concepts in the next chapter ,, , but for now we use an informa l 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 foundatinonal role throughout calclcuulus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 176 156 79 177 112 93 97 97 97 63 128 130 60 111 113 47 129 149 96 52 128 44 61 67 113
Character e l p s u s u n d e r s t a a n -n -a n d h o
Milliseconds 64 517 144 108 100 121 88 107 131 61 79 106 122 94 113 145 58 217 236 115 162 92 62 113 61
Character w a h -h c h a n g v g e i -i - -e -g -v e i n
Milliseconds 66 80 117 57 200 272 76 99 76 98 97 28 0 35 26 151 174 111 128 148 145 123 48 114 65
Character o n e q u a n i t -t -i t i t y i s r e l a
Milliseconds 77 120 73 101 111 75 104 95 72 185 25 275 95 132 248 95 186 99 96 71 146 154 79 231 109
Character t e d t o a c h a n g e i n a n o t h e
Milliseconds 97 79 128 77 87 84 62 127 123 96 98 78 118 79 96 26 65 78 46 48 97 110 98 113 63
Character r - . H o w d o e s t h e s p e e d o
Milliseconds 54 163 288 224 60 180 110 114 109 79 99 63 46 59 103 82 63 79 78 98 148 173 80 51 75
Character f a f a l l i n g o b j e c t c h a n g e
Milliseconds 97 65 47 116 126 65 13 140 148 81 96 96 148 110 99 71 95 170 91 116 76 78 89 75 64
Character a s a f u n c t i o n o f t i e m -m -e m
Milliseconds 46 164 109 149 43 135 75 132 91 165 120 62 123 25 82 148 48 140 49 111 160 79 326 108 125
Character e ? H o w d o e s t h e l e v e l o f
Milliseconds 107 445 233 163 84 91 145 98 75 82 63 64 135 91 65 48 108 64 90 78 79 45 148 76 112
Character w a t e r i n a a b -b -a b a r r e l c h a
Milliseconds 65 65 128 80 98 44 101 64 62 29 132 77 63 329 110 144 45 80 162 60 93 50 125 80 115
Character n g e a s a f u n t \ c -c -\ -t c t i o n o
Milliseconds 88 114 72 35 209 27 114 95 61 123 77 95 242 223 0 91 125 0 43 165 58 97 61 78 152
Character f t h e a m o u n t o f l i q u i d p o
Milliseconds 45 150 42 116 28 200 0 94 77 147 140 166 75 192 64 102 58 134 73 97 79 122 103 91 0
Character -o o u r e d i n t o i t ? w -w W e -e - e
Milliseconds 284 479 187 103 74 116 60 78 82 77 99 80 157 63 249 157 93 294 124 194 0 371 90 97 80
Character s e e c h a n g e o c c u r r i n g i n n
Milliseconds 100 179 122 32 165 18 166 16 185 79 13 95 114 143 80 98 146 122 96 81 96 81 64 74 186
Character e a r l y e v e r t -t y t h i n g w e o b s
Milliseconds 60 65 62 111 130 80 83 125 70 403 0 371 135 179 73 66 100 63 136 49 51 240 112 102 369
Character e r v e i n t h e w o r l d a n d u n i
Milliseconds 58 113 206 67 31 103 58 79 30 153 59 130 67 92 111 103 153 196 273 119 119 41 104 59 117
Character -i -n -u -d - d n -n u n i v e r s e , a n d p o
Milliseconds 178 127 140 128 128 63 96 173 395 175 108 48 99 109 111 101 61 79 112 50 131 75 80 180 114
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 29 28 94 143 91 58 82 112 114 59 81 117 127 13 437 108 44 130 68 26 152 14 319 97 73
Character h e l p u s e e e -e -e -e s e e m o r e a
Milliseconds 103 125 389 95 147 56 146 85 169 67 181 159 136 121 123 102 41 132 109 90 54 68 44 97 85
Character n d m o e r . - -. -r -e r e . I n t h s i
Milliseconds 109 99 82 43 83 77 0 179 45 225 150 122 128 146 28 117 91 178 143 33 111 134 95 27 176
Character - -i -s i s s e c t i o n w e i n t r o d u c
Milliseconds 183 123 131 185 95 105 76 50 107 147 96 83 60 99 77 69 99 222 130 59 61 68 113 109 78
Character e t h e i d e a s o f a v e r a g e i -i
Milliseconds 68 66 75 93 48 50 184 74 101 33 192 171 196 93 116 80 128 63 252 102 122 104 59 119 286
Character a n d i n s t a n t a n o -o u -u e o u s r a t
Milliseconds 94 77 111 17 164 116 68 107 57 129 179 75 81 157 265 174 483 54 198 161 95 126 48 81 93
Character e s o f c h a n g e , a n d s h o w t h
Milliseconds 80 57 30 170 154 46 186 82 79 114 46 64 114 27 41 222 77 174 81 115 62 134 76 79 146
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 76 129 62 120 98 91 39 168 123 80 78 66 87 74 141 33 67 75 146 76 109 89 176 125 84
Character e d t o t h e s l o p e o f a c u r v
Milliseconds 75 99 108 80 91 66 70 123 32 122 55 113 165 105 121 41 114 130 85 85 81 82 126 82 246
Character e a t a p o i n t P O -O o n t h e c
Milliseconds 74 50 127 97 47 100 73 531 147 196 122 113 155 150 180 193 369 158 146 95 77 96 61 129 61
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 136 43 165 73 79 64 213 244 66 176 75 134 41 78 104 59 43 153 129 59 61 97 134 457 196
Character e l o p m e n t s o f t h e s e i - -i i m
Milliseconds 86 29 178 110 130 108 81 77 47 97 63 153 79 105 120 79 141 34 106 216 208 112 128 110 97
Character p o r t a t n -n -t n t c o n c e p t s i n t
Milliseconds 92 48 84 141 97 133 104 248 119 137 80 105 119 88 149 325 55 32 167 89 66 104 56 82 19
Character h e n e x t c h a p t e r , -, , - -, - ,
Milliseconds 128 27 117 59 46 164 145 83 144 90 88 92 114 58 87 90 0 327 136 101 211 121 135 219 105
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 108 72 100 108 80 80 96 89 143 222 100 90 85 59 99 143 32 43 116 80 115 97 104 49 98
Character o r m a - l a p p r o a c h s o y o u w
Milliseconds 96 119 55 100 215 246 167 109 61 102 129 106 63 167 76 95 60 139 74 103 49 87 62 86 141
Character i l l s e e h o w t h e y l e a d n a t
Milliseconds 114 148 109 59 152 59 163 32 127 61 84 78 135 73 70 89 49 167 42 82 43 120 114 56 85
Character u r a l l y t o t h e m a i n i d e a o
Milliseconds 145 29 75 106 104 125 45 162 46 153 15 161 16 127 60 79 101 61 67 125 78 69 60 118 74
Character f t h i s c h a p t e r , t h e l i m i t
Milliseconds 80 146 44 120 43 44 117 77 88 39 113 116 100 96 73 103 44 96 46 113 160 261 104 95 65
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 164 34 195 104 118 90 105 90 80 46 82 61 378 74 98 78 109 69 122 88 89 106 41 76 43
Character y s a f o u n d a t i n -n o n a l r o l e
Milliseconds 110 58 112 76 119 111 56 136 57 64 134 73 69 146 636 182 126 116 56 97 62 68 163 71 81
Character t h r o u g h o u t c a l c l -l c u -u -c u l u s
Milliseconds 99 79 95 79 70 95 110 93 84 46 112 104 57 47 137 175 399 160 25 361 104 177 96 79 97
Character .
Milliseconds 102
WPM Timing
Seconds WPM
2.14 106.68
4.27 103.87
6.41 93.58
8.55 85.62
10.69 84.22
12.82 88.9
14.96 90.64
17.1 96.15
19.24 98.57
21.37 97.13
23.51 96.98
25.65 98.26
27.78 100.2
29.92 99.46
32.06 98.44
34.2 97.55
36.33 96.77
38.47 97.94
40.61 96.93
42.75 97.41
44.88 93.84
47.02 94.94
49.16 95.2
51.3 93.81
53.43 93.43
55.57 92.21
57.71 93.58
59.84 94.04
61.98 93.51
64.12 93.01
66.26 94
68.39 94.92
70.53 95.79
72.67 95.45
74.81 94.97
76.94 95.45
79.08 95.6
81.22 94.56
83.35 95.16
85.49 94.18
87.63 94.63
89.77 94.65
91.9 95.32
94.04 96.21
96.18 97.19
98.32 97.64
100.45 98.08
102.59 97.67
104.73 98.43
106.86 97.02