TEA_R (jms2587)

Race #2345

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Official speed 90.32 wpm (114.79 seconds elapsed during race)
Without ending ping 90.76 wpm (555 ms delay sending score to TypeRacer’s server)
Timerless 91.08 wpm (407 ms elapsed before first character typed; 113.83 seconds elapsed during race)
Timerless minus one 90.98 wpm, ignoring the first character typed
Race Start January 12, 2024 6:47:36am UTC
Race Finish January 12, 2024 6:49:31am UTC
Outcome Win (1 of 4)
Accuracy 97.3%
Points 243.85
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 s uus understand how a change in opene quantity is related to caa change in another. How does the speed of a falling obejcject change as a function of time?> H How does the level of water in a barrel change as a function of the amount of liquid poured into it > ? We see change occurinring in nearly everything we observe in the world zndand universe, and powefrfulrful modern insturuments help us see more and more. In this section we wintroduce the ideas of average and instanturaaneourss rates of change, and show hathat they are closely related to the slope of a curve at a point p oP on the curve. We gi e ve presicise 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 ofg thi this chapter, the limit. The idea of a limitp \ plays a fonundational role throught hout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 407 136 65 187 101 185 352 170 172 106 79 103 64 204 173 61 117 136 120 129 54 90 63 78 131
Character e l p s s u -u - -s u s u n d e r s t a n d
Milliseconds 96 38 145 177 152 279 120 159 288 120 144 196 64 109 201 153 95 42 102 136 117 33 78 63 101
Character h o w a c h a n g e i n o p e -e -p n e q
Milliseconds 58 30 71 87 90 96 143 70 91 39 71 27 71 67 85 69 83 166 70 413 129 206 35 83 162
Character u a n t i t y i s r e l a t e d t o c a -a
Milliseconds 94 105 87 353 87 201 160 125 107 152 141 147 56 328 112 96 64 136 119 78 42 128 185 231 232
Character -c a c h a n g e i n a n o t h e r . H o w
Milliseconds 129 103 81 119 97 56 96 44 37 78 82 79 87 90 70 27 83 48 64 48 92 53 186 136 78
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 59 134 12 69 151 97 77 66 46 67 168 129 68 115 112 120 168 91 94 104 111 96 45 202 112
Character i n g o b e j c -c -j -e j e c t c h a n g e a
Milliseconds 49 110 57 66 239 129 118 60 117 366 121 120 167 29 74 179 68 158 67 80 52 86 26 103 70
Character s a f u n c t i o n o f t i m e ? > H -H
Milliseconds 115 143 176 116 156 88 136 77 203 96 96 95 95 139 64 111 64 56 88 56 202 23 121 174 239
Character - - -> H o w d o e s t h e l e v e l o
Milliseconds 128 184 375 153 113 216 145 55 94 123 20 82 168 77 92 55 59 70 121 54 144 29 396 184 302
Character f w a t e r i n a b a r r e l c h a n g
Milliseconds 106 68 100 24 168 56 88 89 51 81 83 90 135 121 107 194 154 71 272 133 339 89 84 58 42
Character e a s a f u n c t i o n o f t h e a m
Milliseconds 51 72 67 159 145 70 145 89 90 159 62 154 47 81 72 80 136 96 70 80 71 84 68 115 87
Character o u n t o f l i q u i d p o u r e d i n t
Milliseconds 46 114 153 69 83 136 88 96 200 37 235 72 36 115 130 118 20 547 450 35 141 125 68 86 77
Character o i t - > - -> ? W e s e e c h a n g e
Milliseconds 63 132 113 65 382 367 339 159 343 128 314 193 262 168 111 97 152 136 61 126 83 78 42 58 48
Character o c c u r i n -n -i r i n g i n n e a r l y
Milliseconds 40 295 113 120 79 105 46 98 319 136 184 89 101 57 99 109 71 73 210 80 70 40 63 99 105
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 130 173 24 176 25 504 71 26 119 46 64 105 209 159 176 136 160 135 47 203 10 109 59 82 89
Character t h e w o r l d z n d -d -n -z a n d u n i v e
Milliseconds 123 55 39 97 96 40 80 80 81 96 143 49 100 322 112 144 233 79 84 125 224 135 37 45 33
Character r s e , a n d p o w e f r f u l -l -u -f -r -f r f
Milliseconds 124 155 110 62 83 64 69 36 150 14 16 138 105 125 12 111 55 136 216 124 131 130 383 126 211
Character u l m o d e r n i n s t u -u r u m e n t s h
Milliseconds 62 139 104 119 41 25 63 103 116 157 158 80 520 161 272 532 116 104 155 58 91 61 196 158 121
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 81 52 139 96 97 87 145 119 159 106 88 27 41 43 24 113 127 62 81 96 37 36 55 11 151
Character I n t h i s s e c t i o n w e w -w i n t
Milliseconds 119 185 85 123 131 68 37 57 131 54 177 112 169 45 21 99 67 94 154 97 111 365 201 97 88
Character r o d u c e t h e i d e a s o f a v e r a
Milliseconds 385 264 167 136 48 193 248 94 81 290 133 161 88 43 159 94 128 143 71 80 123 175 37 173 32
Character g e a n d i n s t a n t u r a -a -r -u a n e o u
Milliseconds 150 28 85 128 111 65 104 70 98 42 166 567 135 137 153 118 39 344 129 134 107 112 91 317 64
Character r s -s -r s r a t e s o f c h a n g e , a n
Milliseconds 69 132 458 124 98 111 88 45 124 31 161 72 84 140 63 416 96 81 47 65 20 172 113 158 112
Character d s h o w h a -a -h t h a t t h e y a r e
Milliseconds 14 138 61 100 24 68 79 156 25 430 135 300 119 24 76 92 256 63 144 20 101 52 89 35 104
Character c l o s e l y r e l a t e d t o t h e s l
Milliseconds 167 194 143 17 149 59 122 100 208 77 315 80 88 46 137 121 81 68 123 127 169 27 149 76 148
Character o p e o f a c u r v e a t a p o i n t
Milliseconds 121 143 65 67 181 70 97 70 129 210 106 42 172 14 152 113 221 132 87 192 77 38 190 88 65
Character p o -o - -p P o n t h e c u r v e . W e
Milliseconds 87 185 94 249 221 129 135 194 108 149 79 80 112 56 63 68 141 69 64 180 10 101 88 224 182
Character g i e - -e - v e p r e s i -i -s c i s e d
Milliseconds 114 137 71 145 14 122 336 125 128 242 19 149 120 110 45 187 121 328 119 218 78 63 122 96 425
Character e v e l o p m e n t s o f t h e s e i m p o
Milliseconds 48 178 33 133 168 148 244 79 89 44 148 130 134 87 98 96 69 65 161 105 76 51 88 120 26
Character r t a n t c o n c e p t s i n t h e n e x
Milliseconds 111 151 14 106 69 110 158 63 65 391 49 120 168 148 106 105 90 63 60 90 57 70 96 46 166
Character t c h a p t e r , b u t f o r n o w w e
Milliseconds 158 78 154 95 97 68 124 78 114 120 112 86 50 48 59 133 72 72 136 121 35 83 98 104 164
Character u s e a n i n f o r m a l a p p r o a c h
Milliseconds 108 135 13 149 75 69 119 102 113 343 100 93 285 118 101 48 144 128 136 104 101 122 63 108 87
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 95 153 86 128 126 16 91 68 109 68 156 87 87 145 128 109 83 63 23 67 120 27 74 74 56
Character l e a d n a t u r a l l y t o t h e m a
Milliseconds 81 112 75 76 65 112 112 69 83 63 89 20 68 103 161 62 63 74 119 50 85 82 95 168 73
Character i n i d e a o f g t h i -i -h -t - -g t h i s
Milliseconds 52 92 85 123 78 30 73 171 280 81 12 102 132 42 59 235 119 136 128 113 112 113 19 37 128
Character c h a p t e r , t h e l i m i t . T h e
Milliseconds 104 120 65 76 72 97 31 124 63 105 95 93 80 91 136 62 138 94 54 116 88 281 71 121 84
Character i d e a o f a l i m i t p \ -\ - -p p l a
Milliseconds 59 115 25 82 139 136 75 84 80 139 93 48 136 89 118 84 125 345 0 0 127 128 96 161 111
Character y s a f o n -n u n d a t i o n a l r o l e
Milliseconds 15 170 192 145 142 329 56 63 531 218 141 48 29 156 95 119 35 141 10 143 192 76 131 59 73
Character t h r o u g h t - -t -h h o u t c a l c u l u s
Milliseconds 98 91 103 55 48 44 92 50 127 423 111 129 871 242 55 73 103 170 21 59 199 84 357 76 147
Character .
Milliseconds 98
WPM Timing
Seconds WPM
2.3 67.95
4.59 78.4
6.89 81.89
9.18 83.63
11.48 83.63
13.78 85.37
16.07 92.59
18.37 92.78
20.66 92.34
22.96 91.99
25.25 90.28
27.55 91.03
29.85 91.67
32.14 94.08
34.44 93.04
36.73 90.16
39.03 89.78
41.33 89.15
43.62 89.68
45.92 90.69
48.21 90.6
50.51 88.62
52.8 87.49
55.1 87.99
57.4 90.11
59.69 89.26
61.99 89.44
64.28 89.6
66.58 87.59
68.88 87.99
71.17 87.68
73.47 88.37
75.76 89.01
78.06 89.01
80.35 88.86
82.65 87.99
84.95 87.16
87.24 88.03
89.54 88.59
91.83 89.51
94.13 89.62
96.43 90.35
98.72 91.65
101.02 91.71
103.31 91.99
105.61 92.49
107.9 91.86
110.2 91.69
112.5 90.67
114.79 90.32