HeresTheThing... (httfe)

Race #70

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Official speed 109.34 wpm (94.82 seconds elapsed during race)
Without ending ping 109.51 wpm (144 ms delay sending score to TypeRacer’s server)
Timerless 110.16 wpm (558 ms elapsed before first character typed; 94.12 seconds elapsed during race)
Timerless minus one 110.03 wpm, ignoring the first character typed
Race Start July 18, 2023 12:18:07am UTC
Race Finish July 18, 2023 12:19:42am UTC
Outcome Win (1 of 2)
Opponents 2. zak389 (86.30 wpm)
Accuracy 98.9%
Points 295.22
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 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 funciton of tion of the amount of liquied pod poured intio 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 hnext chapter, but for now we use an imnformal approach so you will see how they lead naturally to the main deaidea of this chapetter, the limit. The idea of a limit play as a foundational role throughout calculaus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 558 130 103 96 138 116 196 120 69 100 98 86 75 109 107 92 128 141 107 92 59 87 68 32 109
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 87 42 111 110 69 60 146 63 54 187 56 176 13 194 655 161 81 102 107 278 56 122 87 95 65
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 119 14 136 49 65 104 20 76 72 64 123 31 94 80 280 46 131 87 152 76 116 64 62 107 102
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 85 135 84 113 105 73 144 180 71 86 53 65 45 94 123 17 168 32 68 99 34 69 59 87 73
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 87 96 88 78 82 41 87 72 190 88 104 110 107 69 92 55 105 105 37 34 56 128 66 111 160
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 158 49 80 66 94 89 69 49 129 96 119 89 75 101 17 111 150 75 118 173 133 45 154 79 98
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 71 39 130 27 36 196 84 170 134 161 95 176 47 153 14 43 50 22 135 63 148 158 50 68 47
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 195 103 257 99 91 108 87 56 127 78 80 112 50 16 112 87 32 185 119 22 99 128 79 50 110
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 88 120 141 50 56 74 67 75 58 91 126 182 67 153 123 120 89 119 77 84 76 42 114 46 66
Character s a f u n c i t o n o f - -f -o - -n -o -t -i t
Milliseconds 160 50 143 23 119 76 166 67 154 0 48 43 64 127 104 89 471 136 136 167 146 134 144 144 237
Character i o n o f t h e a m o u n t o f l i q u
Milliseconds 28 85 64 49 113 60 84 105 21 68 55 104 80 119 81 129 73 0 117 88 59 64 44 217 49
Character i e d p o -o -p - -d -e d p o u r e d i n t i -i
Milliseconds 63 105 177 46 123 62 304 143 140 147 209 303 115 135 88 167 202 144 205 60 73 76 84 117 529
Character o i t ? W e s e e c h a n g e o c c u r
Milliseconds 215 85 122 113 255 76 229 89 78 128 35 196 75 145 44 81 81 35 96 43 59 157 130 112 73
Character r i n g i n n e a r l y e v e r y t h i n g
Milliseconds 144 101 62 86 44 73 51 95 71 63 75 79 64 111 46 118 155 138 23 95 87 56 48 90 78
Character w e o b s e r v e i n t h e w o r l d
Milliseconds 82 91 76 98 159 145 183 68 196 280 151 66 104 65 95 118 63 35 95 75 102 53 129 52 111
Character a n d u n i v e r s e , a n d p o w e r f u
Milliseconds 70 71 88 48 105 157 49 83 159 46 138 46 89 81 111 72 34 118 77 50 34 103 104 201 113
Character l m o d e r n i n s t r u m e n t s h e l p
Milliseconds 73 108 130 54 179 191 46 162 136 167 104 114 73 166 33 167 87 34 83 98 43 70 103 66 120
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 66 81 134 71 223 25 187 51 97 75 63 40 110 96 66 109 90 73 66 51 52 118 57 183 46
Character t h i s s e c t i o n w e i n t r o d u c
Milliseconds 74 127 41 46 146 24 151 58 213 162 13 43 32 57 151 64 119 113 55 174 179 46 139 64 135
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 199 152 130 40 56 61 113 135 161 70 155 70 56 232 153 169 169 150 47 136 89 128 47 49 112
Character d i n s t a n t a n e o u s r a t e s o f
Milliseconds 65 101 77 72 80 80 98 106 115 158 169 192 153 53 146 82 262 91 125 62 82 54 79 108 70
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 129 48 80 95 47 67 72 99 69 39 83 76 136 48 34 142 83 71 86 42 89 32 124 34 75
Character y a r e c l o s e l y r e l a t e d t o
Milliseconds 100 76 67 110 596 129 383 82 132 40 67 175 144 65 123 79 99 28 115 65 195 53 146 32 103
Character t h e s l o p e o f a c u r v e a t a
Milliseconds 120 74 29 40 172 69 178 175 151 106 94 64 112 47 105 103 76 79 190 105 54 77 132 88 92
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 70 176 31 143 98 101 120 226 108 115 65 79 129 73 31 65 439 66 133 175 130 100 37 200 125
Character g i v e p r e c i s e d e v e l o p m e n t
Milliseconds 61 174 31 151 120 31 147 45 79 251 99 116 116 83 170 176 143 96 40 167 48 170 62 92 52
Character s o f t h e s e i m p o r t a n t c o n c
Milliseconds 121 39 56 121 88 92 30 39 153 72 85 48 95 130 33 99 157 143 74 134 90 182 41 56 137
Character e p t s i n t h e h -h n e x t c h a p t e
Milliseconds 142 130 114 124 71 89 39 105 92 51 56 57 176 469 236 90 206 151 83 113 69 95 66 149 113
Character r , b u t f o r n o w w e u s e a n
Milliseconds 57 46 76 117 47 145 33 136 40 113 33 94 73 92 114 117 95 84 90 89 63 109 100 70 95
Character i m -m n f o r m a l a p p r o a c h s o y o
Milliseconds 104 106 359 191 168 108 81 91 90 100 67 136 56 135 63 94 87 188 57 82 269 66 70 107 84
Character u w i l l s e e h o w t h e y l e a d
Milliseconds 73 41 72 66 46 143 66 64 81 133 74 73 60 101 116 57 41 116 49 78 221 96 89 164 56
Character n a t u r a l l y t o t h e m a i n d e a
Milliseconds 91 89 114 86 126 81 32 125 154 66 149 55 90 46 40 56 67 102 90 87 54 70 110 181 90
Character -a -e -d i d e a o f t h i s c h a p e t -t -e t
Milliseconds 231 151 129 200 54 210 41 158 90 92 83 100 11 73 90 81 115 68 81 106 154 175 272 128 94
Character e r , t h e l i m i t . T h e i d e a o
Milliseconds 139 55 59 61 105 24 90 29 92 60 76 106 93 141 48 186 82 38 86 104 56 184 65 67 96
Character f a l i m i t p l a y a -a - s a f o u
Milliseconds 62 88 72 86 698 56 144 107 139 94 137 154 73 74 142 32 362 117 115 116 124 79 181 58 54
Character n d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 178 47 77 154 34 62 42 144 40 95 160 82 143 80 104 98 45 145 7 90 110 47 169 55 79
Character c a l c u l a -a u s .
Milliseconds 101 113 99 48 121 15 92 71 526 385 24 119
WPM Timing
Seconds WPM
1.9 82.26
3.79 107.57
5.69 92.8
7.59 104.4
9.48 106.3
11.38 113.9
13.28 116.61
15.17 117.06
17.07 118.11
18.96 117.69
20.86 120.22
22.76 120.22
24.65 113.41
26.55 111.64
28.45 109.68
30.34 105.59
32.24 103.47
34.14 104.4
36.03 106.57
37.93 106.3
39.83 107.87
41.72 108.43
43.62 108.94
45.52 110.2
47.41 110.86
49.31 110.73
51.2 110.61
53.1 110.28
55 111.5
56.89 111.36
58.79 111.04
60.69 111.33
62.58 111.21
64.48 110.92
66.38 110.64
68.27 111.44
70.17 111.5
72.07 110.4
73.96 111.14
75.86 110.57
77.76 110.65
79.65 111.49
81.55 111.98
83.44 110.73
85.34 110.24
87.24 111.01
89.13 110.26
91.03 109.68
92.93 110.15
94.82 109.34