str4tos (str4tos)

Race #45373

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Official speed 91.71 wpm (113.05 seconds elapsed during race)
Without ending ping 92.23 wpm (636 ms delay sending score to TypeRacer’s server)
Timerless 92.75 wpm (632 ms elapsed before first character typed; 111.78 seconds elapsed during race)
Timerless minus one 92.64 wpm, ignoring the first character typed
Race Start December 4, 2024 1:47:57pm UTC
Race Finish December 4, 2024 1:49:50pm UTC
Outcome Win (1 of 5)
Opponents 2. samy_mohsen (84.43 wpm)
3. andystarr (70.37 wpm)
4. cadis_ (62.23 wpm)
Accuracy 96.2%
Points 247.62
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 calcusCalculus is as to tolol that helps us understand how a change in one quanittity is related to a change in another. How does the sped ed of a falling obectject change the as a function of time.? How does thet leve level of water in a barrel change as a function of the amount of liquid poured into it/ W? We see change occuring ring nii nearn nearly everythign we ng we observe in the eworld world nad uand universe, and powerful odermodern instrumets hnts help us see more and more. In this section we introduce hte ithe idea os of average and instantaneous rates of change, and show that they are closely related to the sloeppe of a curefve at a point P on the curve. We give prepcicise developments of these ipmpmportant cpononcpets epts in the penext Cchatppter, but for now we use an informal approach so you will se e how they lead naturalyly to the main idea of this chapter, the limit. The idea of a limit plays a foundationl roal role throughout claalculus.
Timing
Character c a l c u s -s -u -c -l -a -c C a l c u l u s i s a
Milliseconds 632 100 83 116 86 115 282 127 125 136 141 110 510 128 71 119 109 126 148 84 89 275 71 111 71
Character s t o -o -t - -s t o l -l o l t h a t h e l p
Milliseconds 4 44 164 76 280 121 132 101 79 68 73 277 378 213 136 0 74 96 60 22 64 31 104 48 141
Character s u s u n d e r s t a n d h o w a c h a
Milliseconds 80 66 49 97 72 95 92 17 163 96 87 66 50 82 83 52 84 47 51 80 104 81 74 115 66
Character n g e i n o n e q u a n i t -t -i t i t y i
Milliseconds 84 28 87 86 59 53 135 65 215 68 50 67 90 90 69 101 28 507 98 135 82 81 88 67 105
Character s r e l a t e d t o a c h a n g e i n
Milliseconds 61 86 93 82 134 83 39 66 131 79 225 340 91 102 70 114 81 83 71 34 74 72 69 78 70
Character a n o t h e r . H o w d o e s t h e s p e
Milliseconds 68 74 39 70 78 37 60 99 95 185 65 62 85 113 102 42 94 20 44 54 42 83 23 125 200
Character d - -d e d o f a f a l l i n g o b e c t
Milliseconds 137 61 525 102 48 149 75 75 35 75 72 87 35 86 112 111 72 84 109 58 31 55 231 148 156
Character -t -c -e j e c t c h a n g e t h e - -e -h -t a s
Milliseconds 220 126 98 205 94 164 173 85 138 76 114 61 107 108 73 52 71 57 127 175 120 115 116 319 87
Character a f u n c t i o n o f t i m e . -. ? H o
Milliseconds 83 94 102 16 101 77 33 170 52 20 68 109 209 58 72 66 50 58 46 131 424 184 80 107 116
Character w d o e s t h e t l e v e -e -v -e -l - -t l e
Milliseconds 68 135 125 105 53 65 83 75 50 79 0 66 30 98 123 84 129 119 134 133 112 104 166 48 91
Character v e l o f w a t e r i n a b a r r e l
Milliseconds 146 52 62 117 83 63 66 87 148 56 96 40 75 75 50 78 83 86 92 55 151 147 51 69 48
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 123 143 21 127 76 64 99 97 74 62 133 150 83 104 60 70 151 36 45 60 75 117 331 51 69
Character h e a m o u n t o f l i q u i d p o u r e
Milliseconds 63 14 82 40 415 150 49 50 67 74 309 83 42 41 68 87 80 123 74 37 111 153 53 16 65
Character d i n t o i t / W -W - -/ ? W e s e e c
Milliseconds 123 0 78 47 90 63 63 82 54 216 52 136 321 113 113 251 56 134 229 75 89 196 137 98 74
Character h a n g e o c c u r i n g - -g -n -i r i n g n
Milliseconds 109 57 76 34 56 64 139 181 110 97 110 57 52 79 88 343 116 130 113 112 107 56 55 60 88
Character i -i -n i n e a r -r -a -e -n - n n e a r l y e v
Milliseconds 0 545 105 201 103 52 80 101 24 273 123 114 140 119 240 73 49 64 99 35 31 64 69 56 164
Character e r y t h i g n w e - -e -w - -n -g n g w e o
Milliseconds 95 82 92 61 94 14 99 6 67 82 28 73 297 112 144 124 130 91 197 47 93 34 62 40 139
Character b s e r v e i n t h e e w o r l d - -d -l -r
Milliseconds 50 60 65 65 185 48 102 540 35 57 24 79 11 55 32 5 94 54 95 61 111 191 120 139 138
Character -o -w -e w o r l d n a d u -u - -d -a -n a n d u n
Milliseconds 127 121 98 129 82 76 64 82 85 64 22 111 80 70 300 118 129 126 102 92 101 64 102 85 114
Character i v e r s e , a n d p o w e r f u l o d e r
Milliseconds 65 35 97 73 78 79 70 51 83 74 50 108 52 125 44 85 49 164 15 118 77 147 43 155 36
Character -r -e -d -o m o d e r n i n s t r u m e t s h -h -
Milliseconds 283 118 127 116 251 10 82 148 6 80 74 45 71 20 57 141 39 133 81 178 101 68 51 283 124
Character -s -t n t s h e l p u s s e e m o r e a n
Milliseconds 134 117 211 74 86 84 34 120 46 135 100 52 82 54 109 176 126 100 76 51 35 72 16 82 69
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 47 85 83 12 105 50 71 128 394 165 75 36 78 51 34 81 207 113 179 177 51 22 21 82 64
Character e i n t r o d u c e h t e i -i - -e -t -h t h e
Milliseconds 50 87 72 61 39 124 317 132 73 70 63 23 65 12 79 79 81 300 123 136 133 86 164 68 19
Character i d e a o -o - s o f a v e r a g e a n d
Milliseconds 99 85 27 121 89 81 96 358 108 87 77 18 104 81 71 287 110 65 150 7 108 471 33 119 60
Character i n s t a n t a n e o u s r a t e s o f c
Milliseconds 76 43 51 40 61 180 334 239 117 122 108 101 78 88 76 115 127 47 68 82 22 88 112 100 130
Character h a n g e , a n d s h o w t h a t t h e y
Milliseconds 45 122 30 48 106 64 56 106 73 58 65 85 62 46 84 68 60 119 68 29 86 85 41 71 85
Character a r e c l o s e l y r e l a t e d t o t
Milliseconds 18 79 70 24 77 125 57 134 89 60 66 83 106 136 67 79 82 36 50 133 68 80 55 50 63
Character h e s l o e p -p -e p e o f a c u r e f -f -e
Milliseconds 36 25 78 52 102 124 117 25 486 93 186 31 111 73 76 68 71 83 111 121 38 206 24 302 132
Character v e a t a p o i n t P o n t h e c u
Milliseconds 100 56 106 84 77 73 82 90 76 163 27 72 51 86 186 139 136 69 77 34 43 49 98 554 54
Character r v e . W e g i v e p r e p c i -i -c -p c i s
Milliseconds 100 143 58 84 110 283 691 81 114 81 68 52 100 219 63 373 26 164 73 312 128 107 123 60 70
Character e d e v e l o p m e n t s o f t h e s e i
Milliseconds 77 49 115 139 99 66 101 153 165 391 51 105 50 85 89 85 290 88 47 37 37 145 66 92 56
Character p m -m -p p -p m p o r t a n t c p o n -n -o -p o n c
Milliseconds 169 11 469 106 298 606 221 52 142 79 134 65 99 81 106 221 157 578 30 341 124 117 207 20 107
Character p e t s - -s -t -e -p e p t s i n t h e p e -e
Milliseconds 91 38 115 113 78 197 134 130 134 105 148 67 76 99 64 72 64 48 26 46 37 127 89 142 266
Character -p n e x t C -C c h a t p -p -t p t e r , b u t
Milliseconds 92 212 56 202 191 89 209 355 148 63 74 102 16 479 105 217 46 100 32 89 92 88 45 103 81
Character f o r n o w w e u s e a n i n f o r m a
Milliseconds 224 94 55 82 47 44 52 89 96 68 67 163 35 83 53 132 51 81 144 114 118 112 50 94 87
Character l a p p r o a c h s o y o u w i l l s e
Milliseconds 66 84 121 65 111 86 102 78 72 78 56 213 70 81 100 6 81 77 86 8 140 119 35 100 189
Character - e h o w t h e y l e a d n a t u r a l
Milliseconds 199 444 54 57 92 37 42 52 69 345 341 22 106 84 31 138 37 124 227 45 68 112 15 70 278
Character y -y l y t o t h e m a i n i d e a o f
Milliseconds 320 364 204 83 61 74 49 68 42 43 52 91 69 90 71 39 67 84 47 119 94 42 140 125 67
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 62 52 55 32 100 420 65 80 103 51 123 42 41 69 69 22 61 83 30 72 103 53 95 89 118
Character T h e i d e a o f a l i m i t p l a y s
Milliseconds 327 103 77 84 74 44 126 63 83 101 61 83 82 102 102 61 110 43 82 65 42 140 73 97 53
Character a f o u n d a t i o n l r o -o -r - -l a l r
Milliseconds 105 72 103 108 72 26 33 79 56 62 45 14 75 151 68 112 99 322 115 134 114 118 81 71 64
Character o l e t h r o u g h o u t c l a -a -l a l c u l
Milliseconds 51 143 53 101 71 113 66 69 64 73 89 34 55 30 90 142 103 56 495 102 81 95 104 70 117
Character u s .
Milliseconds 56 104 1444
WPM Timing
Seconds WPM
2.26 0
4.52 34.5
6.78 49.53
9.04 76.96
11.31 79.61
13.57 85.8
15.83 94.01
18.09 94.2
20.35 90.81
22.61 89.69
24.87 91.19
27.13 89.34
29.39 93.08
31.65 94.77
33.92 97.65
36.18 95.53
38.44 94.28
40.7 89.63
42.96 89.39
45.22 90.49
47.48 87.7
49.74 88.78
52 88.15
54.26 87.57
56.53 89.37
58.79 90.63
61.05 89.83
63.31 89.47
65.57 90.41
67.83 92.88
70.09 94.85
72.35 93.71
74.61 94.57
76.88 93.97
79.14 93.11
81.4 93.47
83.66 91.8
85.92 90.36
88.18 89.68
90.44 88.5
92.7 89.06
94.96 90.1
97.22 90.59
99.49 90.47
101.75 91.29
104.01 92.07
106.27 93.16
108.53 92.99
110.79 93.15
113.05 91.71