I love goth girls (joehandsome)

Race #29609

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Official speed 98.36 wpm (105.41 seconds elapsed during race)
Without ending ping 98.48 wpm (125 ms delay sending score to TypeRacer’s server)
Timerless 98.80 wpm (345 ms elapsed before first character typed; 104.94 seconds elapsed during race)
Timerless minus one 98.69 wpm, ignoring the first character typed
Race Start December 24, 2023 11:19:51pm UTC
Race Finish December 24, 2023 11:21:36pm UTC
Outcome Win (1 of 3)
Accuracy 96.9%
Points 265.58
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 chnage iange in one quantity is related to a chnage ange in another. How does the speed of a falling object change as a function of time? Hod ew does the level of water in a barrel change as a function of the amount of luqiquid poruedured into it? We see change cooccurring in vnearly everything we observe in the world na and universe, and powerful modern instruments help us see more and more. In this aseconttion we introduce th e ideas of avraerage and instantaenoenouneous rates of change, and show tha ttheyt they are closely related to the slope of a curve at a ponit int P on the curve. We give pricecise developments of these important concepts in the next chapter, but for now we use an informal approach so you will see how thyeey lead naturally to the main idea of this chapter, the limit. The idea of a liimimit plays a foundational role throughout claalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 345 196 445 182 82 217 129 119 98 45 141 122 82 104 119 85 140 166 100 77 61 62 119 3 63
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 123 59 85 166 0 104 75 121 143 225 34 143 83 180 50 57 91 67 105 60 64 97 110 91 47
Character c h n a g e i -i - -e -g -a -n a n g e i n o n e
Milliseconds 143 59 153 10 105 55 28 100 265 250 39 72 159 187 115 44 102 36 25 61 82 82 81 82 57
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 84 143 86 137 141 303 123 120 42 136 46 171 51 144 59 286 186 75 82 141 144 144 57 61 143
Character c h n a g e - -e -g -a -n a n g e i n a n o t
Milliseconds 120 142 63 142 40 127 16 87 239 162 238 108 159 55 91 96 56 30 81 58 114 30 102 68 75
Character h e r . H o w d o e s t h e s p e e d o
Milliseconds 62 61 61 41 81 145 82 118 143 42 96 85 92 51 82 82 41 82 100 84 79 180 144 41 103
Character f a f a l l i n g o b j e c t c h a n g e
Milliseconds 61 103 65 118 101 114 68 144 70 50 83 84 165 98 81 78 183 146 79 161 63 141 19 137 45
Character a s a f u n c t i o n o f t i m e ? H
Milliseconds 163 123 81 80 586 121 103 104 160 41 182 82 64 63 53 84 62 86 104 13 64 17 170 116 212
Character o d e -e - -d w d o e s t h e l e v e l o
Milliseconds 175 185 92 169 266 157 162 82 85 98 84 127 50 42 122 82 80 135 210 79 182 62 104 80 162
Character f w a t e r i n a b a r r e l c h a n g
Milliseconds 114 68 200 135 67 123 71 11 126 61 89 132 84 79 142 119 163 148 135 42 122 83 27 136 28
Character e a s a f u n c t i o n o f t h e a m
Milliseconds 76 101 100 83 59 101 121 104 82 183 86 114 81 85 39 88 75 121 78 104 43 99 56 109 103
Character o u n t o f l u q -q -u i q u i d p o r u e d
Milliseconds 121 64 155 104 50 54 101 58 110 97 122 367 135 190 73 43 137 43 97 133 77 150 11 82 216
Character -d -e -u -r u r e d i n t o i t ? W e s e e
Milliseconds 252 161 178 146 122 82 54 168 38 113 49 86 74 63 84 41 164 123 158 143 122 140 40 195 49
Character c h a n g e c o -o -c o c c u r r i n g i n v
Milliseconds 169 76 58 86 40 44 160 98 87 321 180 121 142 182 161 143 247 118 80 81 97 165 123 101 205
Character -v n e a r l y e v e r y t h i n g w e o b s
Milliseconds 384 117 81 63 39 66 140 43 176 144 140 39 105 102 85 15 124 18 144 58 89 77 365 119 183
Character e r v e i n t h e w o r l d n a - -a -n a
Milliseconds 116 46 160 65 80 102 80 62 81 82 108 20 159 20 90 72 123 29 70 18 146 345 159 197 44
Character n d u n i v e r s e , a n d p o w e r f u l
Milliseconds 105 99 125 39 161 154 94 137 71 132 77 25 41 103 40 101 43 82 106 100 42 57 181 63 61
Character m o d e r n i n s t r u m e n t s h e l p
Milliseconds 101 188 76 76 165 59 79 47 82 84 77 55 149 84 182 100 41 81 122 30 93 100 67 82 99
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 60 136 110 99 97 181 88 64 62 12 44 83 111 31 124 16 81 67 57 67 79 61 142 101 42
Character t h i s a -a s e c o n t -t -n -o t i o n w e i
Milliseconds 101 42 60 101 41 120 429 15 117 135 98 36 134 278 161 158 99 117 69 20 83 122 102 0 103
Character n t r o d u c e t h - e i d e a s o f a
Milliseconds 79 101 153 90 122 122 78 224 21 105 79 122 345 74 86 95 24 175 60 222 0 75 145 134 85
Character v r a -a -r e r a g e a n d i n s t a n t a e n
Milliseconds 122 203 219 270 155 67 33 128 74 77 81 51 99 100 43 60 73 73 65 138 483 162 271 459 140
Character o -o -n -e e n o u -u -o -n -e n e o u s r a t e s o
Milliseconds 140 271 134 158 122 83 149 55 306 156 164 160 140 133 101 72 142 140 121 102 81 165 98 80 62
Character f c h a n g e , a n d s h o w t h a t t
Milliseconds 93 91 135 30 156 6 79 59 64 62 75 47 85 111 193 37 82 101 21 186 0 126 55 18 166
Character h e y -y -e -h -t -t - t t h e y a r e c l o s e
Milliseconds 3 75 63 330 204 34 77 63 206 99 120 99 82 81 85 57 110 99 34 88 137 20 163 101 59
Character l y r e l a t e d t o t h e s l o p e o
Milliseconds 48 100 86 53 60 83 102 82 16 204 64 119 121 43 39 104 38 104 97 128 141 122 87 34 102
Character f a c u r v e a t a p o n i t - -t -i -n
Milliseconds 108 53 102 123 261 103 100 161 96 33 136 84 108 53 160 146 60 101 0 38 105 405 183 140 162
Character i n t P o n t h e c u r v e . W e g i
Milliseconds 161 64 129 24 110 160 207 113 0 66 128 0 55 142 143 100 192 29 105 75 148 154 89 99 102
Character v e p r i -i c -c e c i s e d e v e l o p m e n
Milliseconds 76 46 114 158 95 146 422 79 330 72 183 84 154 46 67 154 184 164 58 73 153 122 125 76 118
Character t s o f t h e s e i m p o r t a n t c o n
Milliseconds 83 41 74 30 124 93 142 52 57 180 85 0 126 77 103 40 100 165 99 19 223 127 154 27 78
Character c e p t s i n t h e n e x t c h a p t e r
Milliseconds 111 132 144 140 119 43 151 77 0 39 101 53 28 112 50 162 162 88 157 59 138 96 95 118 64
Character , b u t f o r n o w w e u s e a n i
Milliseconds 81 60 113 51 100 124 80 82 121 21 84 60 43 117 164 36 86 52 89 60 121 124 112 70 144
Character n f o r m a l a p p r o a c h s o y o u w
Milliseconds 56 84 66 135 66 119 104 193 187 147 103 78 80 168 107 86 64 302 43 102 83 104 71 23 62
Character i l l s e e h o w t h y e -e -y e y l e a d
Milliseconds 106 140 144 59 107 75 119 21 156 42 5 205 102 101 161 18 388 162 109 73 80 104 118 124 99
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 130 176 214 90 196 82 85 72 198 0 96 128 79 57 39 107 63 58 101 163 40 101 64 208 111
Character e a o f t h i s c h a p t e r , t h e l
Milliseconds 183 61 39 88 100 600 82 81 83 16 126 181 243 146 199 184 119 59 63 123 177 60 85 75 68
Character i m i t . T h e i d e a o f a l i i m i
Milliseconds 263 222 3 160 90 34 161 80 61 104 84 36 160 84 19 85 82 119 55 107 84 64 181 0 161
Character -i -m -i m i t p l a y s a f o u n d a t i o n
Milliseconds 324 163 159 163 51 68 80 23 104 78 109 194 178 65 125 101 99 24 171 40 106 65 85 20 75
Character a l r o l e t h r o u g h o u t c l a -a -l a
Milliseconds 168 127 116 126 52 152 66 94 63 76 97 49 87 53 84 102 58 122 66 213 149 199 285 144 74
Character l c u l u s .
Milliseconds 145 183 60 163 82 100 82
WPM Timing
Seconds WPM
2.11 62.61
4.22 96.77
6.32 98.66
8.43 93.92
10.54 93.35
12.65 86.33
14.76 93.51
16.87 98.9
18.97 99.3
21.08 100.75
23.19 96.77
25.3 98.19
27.41 99.83
29.51 101.65
31.62 100.18
33.73 98.19
35.84 97.77
37.95 96.45
40.06 96.47
42.16 97.62
44.27 96.22
46.38 98.06
48.49 99.74
50.6 101.51
52.7 99.95
54.81 99.61
56.92 98.87
59.03 97.99
61.14 94.61
63.25 95.44
65.35 94.93
67.46 95.7
69.57 96.77
71.68 96.26
73.79 95.79
75.89 95.66
78 95.23
80.11 96.17
82.22 96.91
84.33 97.76
86.44 98.15
88.54 98.8
90.65 98.22
92.76 98.71
94.87 98.41
96.98 98.37
99.08 98.58
101.19 98.31
103.3 99.09
105.41 98.36