Paul Michael (hellfirescout)

Race #44

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Official speed 93.49 wpm (110.90 seconds elapsed during race)
Without ending ping 93.60 wpm (126 ms delay sending score to TypeRacer’s server)
Timerless 93.91 wpm (367 ms elapsed before first character typed; 110.41 seconds elapsed during race)
Timerless minus one 93.80 wpm, ignoring the first character typed
Race Start February 7, 2024 5:29:37pm UTC
Race Finish February 7, 2024 5:31:28pm UTC
Outcome No win (3 of 5)
Opponents 1. _ehsaas_gupta (110.76 wpm)
2. spenciepoo (109.95 wpm)
4. alva_tipe (79.19 wpm)
Accuracy 97.4%
Points 252.43
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 taht hehat helps us understand how a ch aangine in one quanitttity is related ot ato a change in another, . How does the speed of a fallign obvjng ovjbject 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 occuring inring in neraarly everuyything we observe in the world and universe, and powerful modern sininstruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, and show that htey they are aclclosely related to the slope of a curve at a point P on the curve. We give precise dveevelopments of these important concepts in the next chapter, but for now we use an informal paapproachj so you will se e how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a funoundational role throughout calculue.s.
Timing
Character C a l c u l u s i s a t o o l t a h t h
Milliseconds 367 122 132 97 287 203 161 64 92 48 99 81 65 90 67 81 136 150 116 58 136 0 73 69 59
Character e -e -h - -t -h -a h a t h e l p s u s u n d e r
Milliseconds 88 269 146 155 143 166 125 273 26 121 55 163 80 131 60 66 68 73 65 118 94 186 66 135 57
Character s t a n d h o w a c h a -a - a n g i n -n -i
Milliseconds 147 44 88 109 58 82 81 63 81 163 79 77 99 62 145 210 186 130 116 111 78 133 107 246 156
Character e i n o n e q u a n i t -t t -t -i t i t y i
Milliseconds 115 57 76 51 71 113 96 80 96 152 67 194 67 126 0 508 148 26 326 77 117 57 196 110 100
Character s r e l a t e d o t a -a - -t -o t o a c h
Milliseconds 59 80 84 62 100 128 28 115 139 81 95 30 102 223 189 148 146 128 91 80 99 97 75 180 77
Character a n g e i n a n o t h e r , - -, . H o w
Milliseconds 115 96 60 68 44 49 48 115 78 115 58 65 132 42 51 142 71 428 132 145 109 160 192 10 137
Character d o e s t h e s p e e d o f a f a l l i
Milliseconds 109 98 108 29 65 116 59 99 82 113 97 58 132 175 78 85 40 104 80 74 118 75 15 208 180
Character g n o b v j -j -v -b -o - -n -g n g o v j -j -v b j e
Milliseconds 95 0 44 81 102 31 25 230 147 157 144 159 145 207 241 62 79 206 151 209 220 143 102 88 130
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 78 212 60 134 56 134 78 95 45 84 129 77 47 101 76 84 143 59 88 158 60 48 150 74 164
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 58 70 112 43 65 64 227 385 284 288 101 112 76 97 98 42 67 68 81 78 42 98 84 75 81
Character l o f w a t e r i n a b a r r e l c h
Milliseconds 81 30 197 26 102 42 87 91 114 83 57 118 42 70 76 79 213 77 47 142 48 83 80 94 82
Character a n g e a s a f u n c t i o n o f t h e
Milliseconds 95 80 97 211 76 112 69 61 796 66 389 75 82 47 194 43 49 149 59 135 40 104 77 28 116
Character a m o u n t o f l i q u i d p o u r e d
Milliseconds 61 80 67 139 65 198 25 98 160 98 78 98 191 110 149 42 178 115 146 191 75 66 206 184 56
Character i n t o i t ? W e s e e c h a n g e o c
Milliseconds 119 40 85 78 113 293 55 355 350 325 194 75 147 98 136 83 115 96 43 132 59 48 67 65 84
Character c u r i n g i n -n -i - -g -n -i r i n g i n n e
Milliseconds 154 62 112 114 48 46 82 94 66 255 146 143 159 165 156 117 301 62 46 80 82 63 65 276 92
Character r a -a -r a r l y e v e r u y -y -u y t h i n g w
Milliseconds 64 128 272 144 113 29 116 112 130 189 61 154 40 97 0 447 416 206 66 128 82 110 30 80 98
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 46 82 208 175 65 145 45 193 80 97 64 63 80 33 96 80 79 98 110 162 142 80 81 64 95
Character d u n i v e r s e , a n d p o w e r f u l
Milliseconds 47 65 114 63 270 113 208 63 145 31 82 111 79 80 82 46 113 63 81 176 31 162 14 194 66
Character m o d e r n s i n -n -i -s i n s t r u m e n t s
Milliseconds 141 81 14 145 49 63 112 129 31 80 193 144 143 209 64 32 62 161 79 226 64 96 80 47 67
Character h e l p u s s e e m o r e a n d m o r e
Milliseconds 45 118 128 57 80 128 85 83 110 26 183 41 98 68 93 0 45 98 99 111 62 86 57 63 32
Character . I n t h i s s e c t i o n w e i n t r
Milliseconds 225 81 228 176 108 143 47 66 116 42 135 110 195 174 143 59 324 92 88 41 118 126 43 181 126
Character o d u c e t h e i d e a s o f a v e r a g
Milliseconds 227 93 143 80 116 93 147 76 97 98 203 81 129 79 117 60 96 80 64 80 114 228 56 181 95
Character e a n d i n s t a n t a n e o u s r a t e s
Milliseconds 44 103 93 112 44 82 101 42 81 79 114 79 118 174 141 307 113 59 80 82 126 97 97 63 162
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 78 387 76 84 161 57 103 109 94 30 149 43 103 92 63 84 76 114 180 56 84 62 64 101 58
Character h t e y - -y -e -t -h t h e y a r e a c l -l -c
Milliseconds 64 117 0 123 80 113 228 127 146 158 145 124 101 75 47 96 102 74 66 45 167 41 117 241 145
Character -a c l o s e l y r e l a t e d t o t h e s
Milliseconds 128 57 103 127 58 66 372 76 260 208 60 116 111 43 132 211 75 133 10 97 81 61 100 44 99
Character l o p e o f a c u r v e a t a p o i n
Milliseconds 80 179 224 76 64 145 62 103 107 79 94 247 58 182 57 82 99 60 67 95 579 126 78 147 195
Character t P o n t h e c u r v e . W e g i v e
Milliseconds 24 48 151 192 271 92 51 92 66 98 61 164 111 125 214 40 118 58 167 190 78 132 92 162 59
Character p r e c i s e d v e -e -v e v e l o p m e n t s
Milliseconds 98 81 79 211 126 111 165 96 74 243 275 57 310 137 67 80 81 78 212 60 198 109 94 100 42
Character o f t h e s e i m p o r t a n t c o n c e
Milliseconds 82 83 60 97 81 45 163 307 60 228 176 58 198 58 83 130 83 73 82 82 125 62 66 62 65
Character p t s i n t h e n e x t c h a p t e r ,
Milliseconds 115 132 73 82 95 79 69 58 83 96 46 97 65 63 181 57 147 63 99 108 81 179 43 151 175
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 239 77 30 257 230 91 131 94 45 82 30 80 152 40 83 147 141 194 162 111 58 309 224 43 119
Character o r m a l p a -a -p a p p r o a c h j - -j s o
Milliseconds 140 93 96 119 57 150 145 107 191 143 152 40 168 90 149 126 77 128 0 62 597 144 77 95 101
Character y o u w i l l s e - e h o w t h e y
Milliseconds 128 194 175 75 80 181 57 182 109 47 97 29 134 288 143 43 197 92 145 96 80 96 64 64 79
Character l e a d n a t u r a l l y t o t h e m a i
Milliseconds 112 98 128 112 79 96 80 80 150 91 45 115 111 46 103 92 100 44 542 64 97 81 45 82 80
Character n i d e a o f t h i s c h a p t e r , t
Milliseconds 63 47 165 124 79 82 181 174 75 86 77 80 95 112 80 115 44 113 46 118 416 58 99 112 111
Character h e l i m i t . T h e i d e a o f a l
Milliseconds 80 96 95 114 180 74 134 142 143 126 165 158 78 61 103 57 115 45 81 132 59 101 93 81 95
Character i m i t p l a y s a f u n -n -u o u n d a t i
Milliseconds 198 57 131 78 80 80 80 79 65 323 93 81 96 175 69 75 260 127 173 62 213 220 112 144 49
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 46 163 319 85 109 127 93 183 42 80 81 30 129 117 92 81 147 175 43 82 96 292 111 60 98
Character u l u e . -. -e s .
Milliseconds 77 327 160 58 180 221 147 111 14
WPM Timing
Seconds WPM
2.22 91.98
4.44 64.92
6.65 84.76
8.87 77.1
11.09 74.66
13.31 75.74
15.53 81.93
17.74 81.83
19.96 82.36
22.18 76.29
24.4 80.17
26.62 80.7
28.83 85.73
31.05 87.72
33.27 88.37
35.49 89.27
37.71 88.47
39.92 89.27
42.14 86.85
44.36 85.48
46.58 85.28
48.8 87.3
51.01 88.92
53.23 88.82
55.45 90.89
57.67 90.93
59.89 91.37
62.1 92.75
64.32 92.53
66.54 93.6
68.76 92.15
70.98 91.64
73.19 92.3
75.41 92.29
77.63 92.59
79.85 91.98
82.07 92.27
84.28 92.97
86.5 93.78
88.72 93.87
90.94 93.29
93.16 92.62
95.37 92.73
97.59 92.96
99.81 93.78
102.03 93.74
104.25 94.39
106.46 93.78
108.68 93.96
110.9 93.49