hellisgood (hellisgood)

Race #7502

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Official speed 92.63 wpm (111.93 seconds elapsed during race)
Without ending ping 92.98 wpm (420 ms delay sending score to TypeRacer’s server)
Timerless 93.22 wpm (287 ms elapsed before first character typed; 111.22 seconds elapsed during race)
Timerless minus one 93.11 wpm, ignoring the first character typed
Race Start June 9, 2023 2:19:40pm UTC
Race Finish June 9, 2023 2:21:32pm UTC
Outcome Win (1 of 2)
Accuracy 98.1%
Points 250.09
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 ehelpps uss us understood and 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 brareerel change as a function of the amount of liquid puoured into it? We see change occuringring in nearly everything we observe in the world and uiniverse, and powerful modern instruments help us see more and more. In this section we introduce the ideas of avergage and instantaneous rates odf change, and show that they are closely related to the slpeope of a curve at a point P on the curve. We give prcecise developments of these important concepts in the next cahhapter, but for now we use an informal approcach 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 throughtoutthroughout clacalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t e
Milliseconds 287 110 110 165 110 146 112 108 96 95 106 80 94 128 24 137 152 154 107 95 73 69 103 70 176
Character -e h e l p p s u s -s -u - -s -p s u s u n d e r
Milliseconds 414 217 131 126 150 135 8 96 100 104 334 168 147 130 139 173 118 117 68 112 137 138 87 140 102
Character s t o o d - -d -o -o a n d h o w a c h a n g
Milliseconds 142 123 170 128 96 105 337 152 150 135 148 111 143 47 139 127 39 109 87 301 119 79 76 109 70
Character e i n o n e q u a n t i t y i s r e l a
Milliseconds 95 67 109 77 98 117 112 126 74 119 63 392 253 119 119 91 167 95 94 117 89 103 105 41 152
Character t e d t o a c h a n g e i n a n o t h e
Milliseconds 92 87 215 131 115 106 67 89 86 139 60 106 88 83 78 61 100 89 89 66 131 102 109 32 125
Character r . H o w d o e s t h e s p e e d o f
Milliseconds 69 83 118 168 121 61 114 79 102 81 187 93 108 86 64 84 109 78 80 130 178 102 85 94 87
Character a f a l l i n g o b j e c t c h a n g e a
Milliseconds 75 132 59 74 107 177 102 148 26 95 116 94 99 84 198 172 85 112 110 36 136 58 82 109 100
Character s a f u n c t i o n o f t i m e ? H o w
Milliseconds 182 73 97 297 113 117 163 72 170 53 71 79 103 106 17 115 112 23 97 83 206 88 170 123 61
Character d o e s t h e l e v e l o f w a t e r
Milliseconds 100 116 59 122 185 65 84 85 77 63 93 47 130 77 67 99 120 66 81 68 110 92 119 73 109
Character i n a b r -r a r e e -e -e r e l c h a n g e
Milliseconds 98 95 111 106 85 113 177 453 71 196 154 144 404 132 277 116 119 92 327 118 76 117 119 85 83
Character a s a f u n c t i o n o f t h e a m o u
Milliseconds 94 203 92 62 134 94 102 130 63 171 59 79 70 103 98 81 72 103 65 100 49 116 39 166 90
Character n t o f l i q u i d p u -u o u r e d i n t
Milliseconds 141 101 86 108 107 45 95 99 172 91 106 128 95 165 147 392 208 135 46 91 191 80 258 128 106
Character o i t ? W e s e e c h a n g e o c c u r
Milliseconds 90 110 110 38 254 120 781 158 111 86 146 124 98 105 83 145 101 118 82 104 127 121 139 102 109
Character i n g -g -n -i r i n g i n n e a r l y e v e r
Milliseconds 104 91 127 375 158 143 1273 102 113 132 138 163 120 156 105 84 124 20 96 175 92 93 148 96 80
Character y t h i n g w e o b s e r v e i n t h e
Milliseconds 81 157 54 110 103 54 94 96 122 130 109 103 152 134 92 182 115 86 575 101 387 89 109 75 88
Character w o r l d a n d u i -i n i v e r s e , a n d
Milliseconds 121 79 62 136 66 102 142 111 112 83 123 248 470 231 176 117 120 128 160 137 59 187 44 86 105
Character p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 138 177 196 65 95 96 196 95 146 114 108 132 104 147 98 108 110 105 86 62 184 129 115 169 93
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 123 60 157 98 114 88 117 157 142 111 76 123 113 175 118 99 107 123 53 82 89 117 84 121 88
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 105 140 76 85 82 113 204 119 113 110 59 97 64 95 90 154 190 169 73 63 111 96 134 115 96
Character i n t r o d u c e t h e i d e a s o f a v
Milliseconds 83 84 121 109 98 117 113 103 157 139 91 85 79 93 106 112 199 99 221 97 125 91 82 61 198
Character e r g -g a g e a n d i n s t a n t a n e o u s
Milliseconds 115 120 220 541 89 103 90 60 254 108 105 32 116 68 82 171 86 82 103 190 92 159 161 117 118
Character r a t e s o d -d f c h a n g e , a n d s
Milliseconds 136 124 214 61 105 182 105 96 79 400 71 157 94 67 131 36 118 84 125 90 90 97 118 122 102
Character h o w t h a t t h e y a r e c l o s e l y
Milliseconds 69 121 49 207 71 91 109 61 104 111 91 102 97 64 85 74 113 101 146 63 151 59 130 48 170
Character r e l a t e d t o t h e s l p e -e -p o p e
Milliseconds 88 113 99 109 112 101 86 186 93 52 100 79 105 73 55 86 100 67 169 157 326 143 198 99 107
Character o f a c u r v e a t a p o i n t P
Milliseconds 108 90 57 121 121 59 117 118 74 207 105 199 112 82 104 79 126 96 162 90 109 42 105 147 206
Character o n t h e c u r v e . W e g i v e p r c
Milliseconds 129 99 107 60 94 55 91 111 77 90 189 92 116 119 168 176 107 118 62 88 70 93 126 64 574
Character -c e c i s e d e v e l o p m e n t s o f t h
Milliseconds 376 95 217 84 133 160 103 104 139 163 85 89 155 117 176 92 115 68 159 188 663 117 112 156 68
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 117 179 135 83 111 119 118 160 99 149 80 85 89 102 97 104 85 55 177 72 112 187 129 119 88
Character t h e n e x t c a h -h -a h a p t e r , b u
Milliseconds 94 92 85 115 181 197 72 211 145 116 94 138 83 428 140 197 87 67 169 128 76 90 103 125 75
Character t f o r n o w w e u s e a n i n f o r
Milliseconds 105 85 98 104 73 87 89 90 35 138 119 100 135 102 51 153 110 74 129 101 129 67 105 101 98
Character m a l a p p r o c -c a c h s o y o u w i l
Milliseconds 64 95 169 124 124 174 153 64 106 113 357 70 201 69 108 83 62 105 114 114 65 61 79 82 155
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 149 65 79 145 126 73 93 85 90 126 56 101 86 73 78 124 130 87 200 70 102 56 109 81 76
Character a l l y t o t h e m a i n i d e a o f
Milliseconds 131 128 124 105 97 106 79 81 80 105 50 106 116 60 96 66 95 105 117 174 94 222 118 90 101
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 98 62 129 77 102 147 92 72 80 155 121 52 112 98 114 76 81 92 101 111 137 118 95 126 100
Character T h e i d e a o f a l i m i t p l a y s
Milliseconds 211 122 92 126 100 129 173 109 110 106 82 77 75 103 101 105 121 142 67 139 116 147 86 109 126
Character a f o u n d a t i o n a l r o l e t h r o
Milliseconds 107 107 132 32 137 68 169 200 175 79 98 41 97 133 97 127 72 127 141 79 86 101 63 84 82
Character u g h t o u t -t -h -r -o -u -g -h -t -o -u -t t h r o u g h
Milliseconds 98 62 101 103 32 93 87 404 0 0 0 0 0 0 0 0 0 0 219 82 90 108 83 92 79
Character o u t c l a c -c -a -l a l c u l u s .
Milliseconds 136 83 42 276 0 44 49 238 275 149 116 92 122 119 100 122 113 89 139
WPM Timing
Seconds WPM
2.24 96.49
4.48 75.05
6.72 69.69
8.95 64.33
11.19 71.83
13.43 75.94
15.67 83.47
17.91 87.78
20.15 91.13
22.39 92.74
24.62 95.51
26.86 94.7
29.1 91.13
31.34 93.81
33.58 93.99
35.82 93.14
38.06 92.08
40.29 88.45
42.53 88.03
44.77 88.98
47.01 88.58
49.25 87.47
51.49 87.87
53.73 88.67
55.96 89.63
58.2 90.3
60.44 90.73
62.68 89.98
64.92 90.39
67.16 90.41
69.4 91.47
71.63 92.3
73.87 91.78
76.11 92.08
78.35 92.66
80.59 91.72
82.83 91.13
85.07 91.55
87.3 91.4
89.54 91.26
91.78 91.91
94.02 91.89
96.26 92.38
98.5 93.2
100.74 93.63
102.97 93.81
105.21 94.21
107.45 94.26
109.69 93.43
111.93 92.63