Raina (bumpjammy)

Race #188

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Official speed 108.02 wpm (95.98 seconds elapsed during race)
Without ending ping 108.63 wpm (535 ms delay sending score to TypeRacer’s server)
Timerless 108.96 wpm (297 ms elapsed before first character typed; 95.15 seconds elapsed during race)
Timerless minus one 108.84 wpm, ignoring the first character typed
Race Start September 27, 2023 12:52:55pm UTC
Race Finish September 27, 2023 12:54:31pm UTC
Outcome No win (4 of 5)
Opponents 1. kahow (144.63 wpm)
2. 75134633271 (111.24 wpm)
3. terminuszwei (109.00 wpm)
Accuracy 98.4%
Points 291.64
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 Caclulculus 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 leveoll of water in a barrleel change as a function of the amount of liquid poured into it? We see change cooccurring in ennearly everything we observe in the world and universe, and powerful modern instruments help use see more and more. In this section we introdfuuce the ideas of average and instanteaneous rates of change, and show theat 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 champter, but for now we weuse an informal approach so you will se hoe how they lead naturally to the main idea of this chatppter, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a c l u -u -l -c l c u l u s i s a t o o l
Milliseconds 297 173 86 80 169 238 159 165 203 164 146 163 186 99 72 68 98 101 72 89 76 73 115 134 76
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 111 69 79 57 29 74 89 84 182 92 53 75 76 80 48 153 68 49 118 83 94 52 94 105 60
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 62 173 35 83 93 75 123 68 40 143 99 56 51 52 142 93 102 139 60 84 80 73 100 84 119
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 100 108 142 50 65 116 99 80 79 133 93 98 75 171 91 95 50 64 91 89 127 84 57 121 86
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 50 36 64 133 80 69 50 193 51 125 49 71 111 35 194 208 140 76 114 101 84 51 59 119 57
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 73 107 94 90 80 162 166 52 70 68 114 49 122 316 69 130 119 166 145 57 80 93 26 185 65
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 63 200 52 145 49 99 65 75 66 66 70 65 105 66 92 66 71 149 37 176 51 145 146 95 101
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 69 65 136 44 170 51 179 99 135 155 140 104 80 107 73 61 66 108 50 76 86 115 13 99 87
Character o l -l -o l o f w a t e r i n a b a r r l
Milliseconds 67 33 351 178 314 155 87 83 104 77 143 52 130 75 45 40 160 69 52 108 76 150 70 150 93
Character e -e -l e l c h a n g e a s a f u n c t i o
Milliseconds 100 305 140 53 112 97 130 81 82 69 87 51 62 102 59 104 72 89 77 88 147 39 199 28 164
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 162 117 87 54 127 81 64 76 86 113 52 199 151 137 70 57 70 109 41 65 200 66 116 136 115
Character p o u r e d i n t o i t ? W e s e e c
Milliseconds 82 53 180 170 46 136 159 65 41 128 127 63 74 102 35 183 123 99 209 125 149 60 165 150 140
Character h a n g e c o -o -c o c c u r r i n g i n e n
Milliseconds 60 92 84 101 35 80 159 53 231 142 115 50 217 146 122 213 130 169 86 69 61 133 100 74 14
Character -n -e n e a r l y e v e r y t h i n g w e o b
Milliseconds 435 150 162 53 69 99 100 267 133 96 100 99 111 36 153 72 183 149 46 105 60 84 79 42 109
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 157 75 157 230 96 110 51 151 98 53 92 78 72 84 64 108 110 91 131 69 115 113 49 95 150
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 178 63 86 100 113 67 104 66 49 84 110 89 62 174 45 21 175 141 67 147 100 119 164 52 85
Character r n i n s t r u m e n t s h e l p u s e -
Milliseconds 93 65 73 114 148 72 57 108 43 201 64 112 65 62 65 57 143 65 185 81 114 42 170 177 197
Character -e s e e m o r e a n d m o r e . I n t
Milliseconds 159 99 118 50 178 85 121 176 48 69 57 100 101 114 52 97 163 48 68 37 119 125 156 86 68
Character h i s s e c t i o n w e i n t r o d f u -u -f
Milliseconds 103 130 65 126 74 57 195 159 38 129 164 74 53 50 112 33 137 62 136 59 201 0 108 367 157
Character u c e t h e i d e a s o f a v e r a g e
Milliseconds 141 74 57 88 126 41 77 87 52 81 152 60 99 60 47 132 131 87 179 98 80 111 100 67 64
Character a n d i n s t a n t e -e a n e o u s r a t e s
Milliseconds 125 45 148 94 71 134 64 86 74 129 160 117 471 47 137 176 134 150 106 83 100 119 89 83 170
Character o f c h a n g e , a n d s h o w t h e -e
Milliseconds 56 79 70 118 127 121 12 156 132 36 107 124 54 62 146 100 105 66 162 58 112 49 122 149 268
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 80 43 84 122 50 103 68 64 84 65 84 37 195 70 166 50 34 148 96 107 129 39 114 100 65
Character e d t o t h e s l o p e o f a c u r v
Milliseconds 86 150 55 129 48 68 85 81 50 143 91 163 171 151 124 75 51 97 102 56 89 72 64 127 166
Character e a t a p o i n t P o n t h e c u r
Milliseconds 52 68 106 89 60 90 111 75 168 171 144 57 99 119 95 146 169 120 88 64 118 47 164 103 84
Character v e . W e g i v e p r e c i s e d e v e l
Milliseconds 167 61 103 81 169 186 115 97 88 130 36 70 64 93 65 255 176 130 67 164 235 116 124 55 64
Character o p m e n t s o f t h e s e i m p o r t a n
Milliseconds 175 144 166 71 85 83 67 93 67 84 105 101 61 124 94 106 58 32 164 174 150 65 37 147 130
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 101 106 236 81 146 101 61 84 114 91 65 35 133 104 58 88 60 121 46 60 239 100 86 141 75
Character a m -m p t e r , b u t f o r n o w w e w
Milliseconds 102 108 299 173 71 34 287 101 128 105 75 144 67 124 71 127 59 78 179 76 115 65 70 109 126
Character e -e -w u s e a n i n f o r m a l a p p r o a
Milliseconds 107 337 135 122 63 18 92 61 94 99 102 133 150 37 200 65 163 102 128 192 133 165 96 106 72
Character c h s o y o u w i l l s e h o -o -h - e
Milliseconds 93 68 89 44 99 59 71 69 150 51 58 86 157 168 91 102 41 124 132 91 285 147 160 155 103
Character h o w t h e y l e a d n a t u r a l l y t
Milliseconds 149 117 93 99 90 70 78 86 51 137 63 70 111 48 121 74 85 114 96 65 79 130 91 130 110
Character o t h e m a i n i d e a o f t h i s c
Milliseconds 93 77 91 100 57 127 75 88 104 134 80 127 6 151 65 69 46 134 50 121 42 168 52 87 85
Character h a t p -p -t p t e r , t h e l i m i t . T h
Milliseconds 115 116 140 43 247 146 159 13 101 84 112 112 72 71 85 84 67 191 165 157 120 153 128 144 158
Character e i d e a o f a l i m i t p l a y s a
Milliseconds 76 99 64 92 164 52 59 65 175 108 62 123 127 183 149 176 47 83 57 153 41 95 130 84 97
Character f o u n d a t i o n a l r o l e t h r o u g
Milliseconds 90 104 72 154 149 20 80 121 29 123 152 96 96 85 82 66 158 72 55 135 30 150 34 186 105
Character h o u t c a l c u l u s .
Milliseconds 74 169 157 67 93 104 65 46 118 196 183 184 54 359
WPM Timing
Seconds WPM
1.92 31.26
3.84 81.27
5.76 100.02
7.68 107.83
9.6 111.27
11.52 114.6
13.44 116.99
15.36 114.87
17.28 116.69
19.2 117.52
21.12 113.09
23.04 111.48
24.96 113
26.88 112.97
28.79 112.94
30.71 112.52
32.63 109.95
34.55 107.66
36.47 108.57
38.39 108.77
40.31 109.84
42.23 109.96
44.15 108.99
46.07 109.66
47.99 110.02
49.91 109.15
51.83 109.51
53.75 108.28
55.67 108.86
57.59 108.56
59.51 109.29
61.43 109.79
63.35 110.06
65.27 109.76
67.19 109.48
69.11 110.09
71.03 109.82
72.95 109.72
74.87 109.64
76.79 108.93
78.71 109.01
80.63 108.2
82.54 108.3
84.46 108.68
86.38 108.49
88.3 108.44
90.22 108.4
92.14 108.74
94.06 108.95
95.98 108.02