rilee_h443 (rilee_h443)

Race #128133

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Official speed 101.95 wpm (101.70 seconds elapsed during race)
Without ending ping 102.10 wpm (150 ms delay sending score to TypeRacer’s server)
Timerless 102.41 wpm (310 ms elapsed before first character typed; 101.24 seconds elapsed during race)
Timerless minus one 102.29 wpm, ignoring the first character typed
Race Start December 1, 2023 3:35:24am UTC
Race Finish December 1, 2023 3:37:05am UTC
Outcome Win (1 of 4)
Opponents 2. hertzwiener (95.21 wpm)
3. vishal__ (90.00 wpm)
Accuracy 96.5%
Points 275.26
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 ClacCalculus is a tool that helps us understand how a change in one quantity is related to a changei n an in another. How doses the speed of falla falling object change as a functino of ton of time? How does the leve ofll of water in a barrel change as a functino of ton of hte the amount of liquid poured inti o it? We see chaneg ocge occuring in nring in nearly everything we obesrve inserve in the world and universe, and poewrful errwerful modern instruemmments help us tsee moer and mre and more. in thiIn 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 percise recivese dveeveevelopments of thoese important concepts in the next chapter, but for now we use an informal approach oso you will see how they lead naturally to the main iddea oea of this chapter, the limit. THe idhe iedea of la a limit plays a foundational role throughout calculus.
Timing
Character C l a c -c -a -l C -C a l c u l u s i s a t o o
Milliseconds 310 103 16 181 316 132 101 367 351 139 127 250 149 92 141 91 106 0 90 81 77 49 51 38 106
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 73 90 48 88 25 78 12 46 63 91 124 106 71 28 75 78 53 102 57 205 33 103 69 38 95
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 45 58 66 45 34 62 101 78 10 76 57 96 56 32 54 34 57 64 87 69 15 65 100 87 89
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 61 90 79 66 122 77 72 27 109 15 72 56 57 93 95 124 0 57 70 57 61 107 25 48 116
Character n g e i n a n -n -a - -n - -i i n a n o t h e
Milliseconds 57 77 44 72 0 84 60 81 75 230 236 119 120 115 121 59 94 38 100 32 84 22 87 57 59
Character r . H o w d o s -s e s t h e s p e e d o
Milliseconds 66 54 70 318 126 80 105 41 84 104 280 65 54 35 44 47 71 46 84 67 68 105 116 81 45
Character f f a l l -l -l -a -f a f a l l i n g o b j e c
Milliseconds 69 72 276 76 94 103 201 118 136 112 264 147 93 55 54 89 96 34 86 32 63 14 189 68 66
Character t c h a n g e a s a f u n c t i n o o f
Milliseconds 377 84 91 78 86 59 29 75 71 199 70 68 122 74 328 61 141 47 156 49 55 0 99 32 96
Character t -t - -f -o - -o -n o n o f t i m e ? H o w
Milliseconds 58 106 97 129 114 112 125 142 121 132 49 128 307 66 81 67 104 67 58 250 110 76 573 472 85
Character d o e s t h e l e v e o f -f -o l -l - l o f
Milliseconds 140 53 98 39 26 55 37 73 63 57 31 82 72 174 125 150 161 86 252 292 127 145 87 90 30
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 72 49 77 77 118 63 36 70 49 64 67 83 96 61 82 129 71 101 42 49 65 94 56 57 50
Character a s a f u n c t i n o o f t -t - -f -o - -o
Milliseconds 78 82 58 82 104 93 52 101 122 14 166 71 55 0 94 80 43 77 47 159 131 123 121 127 136
Character -n o n o f h t e - -e -t -h t h e a m o u n t
Milliseconds 122 178 75 93 57 92 61 62 0 122 66 293 120 138 106 111 56 49 64 89 7 123 58 143 21
Character o f l i q u i d p o u r e d i n t i - -i
Milliseconds 61 95 110 65 56 62 67 81 118 29 61 104 155 59 79 83 111 65 77 16 134 197 0 211 115
Character o i t ? W e s e e c h a n e g o c -c -o -
Milliseconds 154 87 77 50 167 91 152 223 117 74 123 726 94 29 94 62 64 102 0 67 110 127 164 116 130
Character -g -e g e o c c u r i n g i n n -n - -n -i - -g -n
Milliseconds 119 134 81 40 58 86 123 136 102 110 86 55 73 66 99 6 91 105 179 119 148 123 125 112 147
Character -i r i n g i n n e a r l y e v e r y t h i n
Milliseconds 101 123 79 42 63 98 20 28 99 45 65 65 32 50 129 64 60 123 59 66 162 106 70 47 64
Character g w e o b e s r v e i n -n -i - -e -v -r -s -e s e
Milliseconds 26 65 94 33 71 27 69 87 0 29 143 71 77 46 61 141 146 111 120 128 147 127 101 81 31
Character r v e i n t h e w o r l d a n d u n i v
Milliseconds 54 157 47 52 47 25 81 69 15 52 69 16 80 85 56 98 102 166 184 108 51 101 119 67 26
Character e r s e , a n d p o e w r f u l - -l -u -f -r e
Milliseconds 132 58 100 12 72 111 54 71 63 72 47 99 188 0 16 110 70 69 82 203 118 113 134 120 259
Character r r -r -r -e -w -e w e r f u l m o d e r n i n s t
Milliseconds 68 112 190 134 93 149 116 41 49 31 119 79 73 73 101 120 202 160 33 161 178 134 54 37 80
Character r u e m -m m -m -e m e n t s h e l p u s t -t s
Milliseconds 97 88 237 21 386 239 258 109 105 129 96 73 53 60 81 86 78 219 130 98 54 71 100 262 88
Character e e m o e r a n d m -m - -d -n -a - -r -e r e a
Milliseconds 154 94 67 85 44 80 0 36 64 100 29 61 90 185 109 154 105 142 123 127 101 48 46 0 120
Character n d m o r e . i n t h i -i -h -t - -n -i I n t
Milliseconds 57 93 28 30 73 73 47 79 57 201 8 136 21 99 40 156 131 128 121 123 104 187 138 83 67
Character h i s s e c t i o n w e i n t r o d u c e
Milliseconds 60 44 66 89 97 44 153 122 26 64 9 79 69 82 32 117 51 97 95 74 96 95 39 81 67
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 52 54 46 25 97 90 113 113 36 108 89 96 84 370 97 94 64 106 95 78 50 67 36 86 70
Character i n s t a n t a n e o u s r a t e s o f c h
Milliseconds 57 50 50 56 77 96 94 210 121 97 96 90 62 86 59 87 114 97 0 54 68 64 207 91 98
Character a n g e , a n d s h o w t h a t t h e y
Milliseconds 111 106 9 83 76 57 65 59 66 43 85 60 39 65 34 50 101 93 46 78 44 74 32 120 0
Character a r e c l o s e l y r e l a t e d t o t h
Milliseconds 271 62 47 83 91 75 102 49 89 53 49 89 106 69 80 65 73 102 108 60 108 27 88 30 82
Character e s l o p e o f a c u r v e a t a p
Milliseconds 16 85 41 60 144 121 47 79 75 29 94 64 114 19 154 10 245 76 45 86 95 47 76 114 20
Character o i n t P o n t h e c u r v e . W e g
Milliseconds 159 42 34 64 33 250 178 84 53 61 54 19 61 101 493 72 74 153 68 80 58 193 124 118 87
Character i v e p e r c i s e - -e -s -i -c -r -e r e c i v e
Milliseconds 83 55 59 66 35 122 0 115 101 51 63 87 242 127 131 118 119 124 123 72 97 193 305 94 112
Character -e -v s e d v e -e e v e -e -v -e -v e v e l o p m e n
Milliseconds 218 111 98 46 54 99 220 235 210 94 92 51 214 105 126 104 50 71 58 117 99 119 151 90 93
Character t s o f t h o -o e s e i m p o r t a n t c
Milliseconds 59 37 81 55 81 53 50 65 56 538 135 499 59 76 120 86 94 100 82 115 107 81 72 49 235
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 40 76 35 56 79 84 53 40 91 41 73 42 21 50 91 41 51 150 88 115 61 51 140 32 57
Character e r , b u t f o r n o w w e u s e a n
Milliseconds 93 72 43 86 47 128 32 71 86 60 71 45 61 305 141 12 193 39 119 259 132 64 82 102 58
Character i n f o r m a l a p p r o a c h o -o s o y
Milliseconds 85 122 62 78 92 103 55 78 388 95 48 112 107 63 94 103 81 38 132 66 382 61 69 70 93
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 43 43 70 53 45 144 108 52 54 148 115 79 102 48 27 67 50 43 119 0 142 49 94 73 66
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 82 37 70 71 82 71 50 74 118 26 92 67 74 60 71 86 89 70 87 84 55 60 50 109 57
Character d e a o -o - -a -e -d e a o f t h i s c h a p
Milliseconds 149 0 66 0 171 200 125 125 124 100 90 70 39 114 54 48 59 49 51 31 76 92 85 150 90
Character t e r , t h e l i m i t . T H e i d -d -i -
Milliseconds 97 104 61 56 57 68 61 22 80 91 30 162 65 127 65 72 52 82 64 92 76 64 208 125 131
Character -e -H h e i e -e d e a o f l a - -a -l a l i
Milliseconds 105 128 105 21 91 81 206 243 78 126 83 28 105 55 90 104 143 110 92 111 129 83 59 55 81
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 120 67 94 48 39 115 86 82 74 92 62 100 39 68 68 93 38 73 77 62 38 33 84 121 189
Character r o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 184 88 74 51 73 44 68 98 45 76 103 45 49 61 51 117 277 53 117 92 97 86 114 146 70
WPM Timing
Seconds WPM
2.03 11.8
4.07 76.7
6.1 108.16
8.14 125.37
10.17 113.28
12.2 114.06
14.24 109.57
16.27 109.89
18.31 108.16
20.34 103.25
22.37 101.91
24.41 97.84
26.44 103.02
28.48 99.03
30.51 97.94
32.54 100.3
34.58 98.22
36.61 96.04
38.64 92.22
40.68 95.87
42.71 93.56
44.75 96.54
46.78 94.14
48.81 93.17
50.85 91.33
52.88 91.9
54.92 90.46
56.95 89.13
58.98 91.75
61.02 93.02
63.05 94.59
65.09 96.61
67.12 98.87
69.15 100.3
71.19 100.3
73.22 98.99
75.26 97.59
77.29 96.73
79.32 96.21
81.36 97.64
83.39 98.72
85.43 98.89
87.46 99.47
89.49 100.83
91.53 100.56
93.56 101.71
95.6 100.8
97.63 100.42
99.66 101.38
101.7 101.95