tstats[theraptorjesus] (theraptorjesus)

Race #5859

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Official speed 94.63 wpm (109.56 seconds elapsed during race)
Without ending ping 94.74 wpm (128 ms delay sending score to TypeRacer’s server)
Timerless 95.05 wpm (358 ms elapsed before first character typed; 109.08 seconds elapsed during race)
Timerless minus one 94.94 wpm, ignoring the first character typed
Race Start January 5, 2024 11:13:02pm UTC
Race Finish January 5, 2024 11:14:52pm UTC
Outcome Win (1 of 4)
Opponents 2. kahaka (91.29 wpm)
3. kenjiseii (87.67 wpm)
4. manucasrs (75.21 wpm)
Accuracy 96.8%
Points 255.50
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 Calcusluulus is a tool that helps us understand how a chanehe inge in one quantitiy is related to a change in anotherl Hr. How doe sthe s the speed of a falling object change as fua function of ti eme? How does the level of water in a barrel change as a function of the amount of liquid pooureured into it? We see change occuring rring in nearly everything we boserobsreerve in the world and universe, and powerful modern intrustruments help us see more and more. In ithis esection we introduce the ideas of averag eane and isntannstantaneous rates ofo change, and hooshow that they are closely related to the slope ofa . 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 infromormal papproach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit lpplpaysays a fonundational role throughout calculus.
Timing
Character C a l c u s l u -u -l -s u -u l u s i s a t o o
Milliseconds 358 133 27 140 105 135 96 97 234 132 135 282 494 189 120 70 102 101 61 135 78 87 52 64 151
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 179 55 97 77 57 52 68 46 145 27 136 81 80 70 108 96 25 207 80 203 124 165 92 69 107
Character d h o w a c h a n e -e h e i -i - -e -h -n n g
Milliseconds 86 50 49 90 42 52 66 97 69 54 99 48 193 588 157 83 109 71 256 109 133 100 153 445 73
Character e i n o n e q u a n t i t i -i y i s r e
Milliseconds 79 21 98 191 56 138 78 91 61 376 161 177 91 113 70 93 102 470 185 100 111 109 79 119 81
Character l a t e d t o a c h a n g e i n a n o t
Milliseconds 77 36 101 66 132 99 121 33 79 35 123 43 84 71 103 31 76 26 82 117 95 70 85 84 108
Character h e r l H -H - -l -r r . H o w d o e s t h e
Milliseconds 85 81 69 54 66 167 202 132 136 149 482 100 133 386 192 107 113 50 85 66 68 12 110 58 92
Character - -e -h -t -s - s t h e s p e e d o f a f
Milliseconds 30 270 134 97 135 139 134 153 90 67 58 85 69 102 68 95 136 181 41 62 70 126 36 141 79
Character a l l i n g o b j e c t c h a n g e a s f
Milliseconds 147 114 133 68 121 69 57 70 104 102 75 53 150 83 107 42 84 50 84 53 13 123 83 41 175
Character u -u -f a f u n c t i o n o f t i e -e - m e
Milliseconds 111 380 107 137 94 136 82 163 82 189 45 65 42 67 81 54 96 115 32 198 90 283 111 181 67
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 187 113 217 134 86 102 149 69 80 83 20 103 57 52 53 97 68 109 94 81 46 159 44 147 53
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 68 101 103 70 70 79 146 31 54 81 96 84 93 150 97 132 95 134 84 68 97 52 68 44 92
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 82 68 80 82 55 134 193 68 203 67 85 31 80 104 68 94 84 39 83 27 85 164 37 122 191
Character t o f l i q u i d p o o u r e -e -r -u -o u r e
Milliseconds 66 89 63 97 51 69 95 161 96 54 125 67 134 39 253 43 88 68 260 313 135 174 180 101 53
Character d i n t o i t ? W e s e e c h a n g e
Milliseconds 130 47 62 175 70 125 106 165 107 217 55 200 168 83 173 96 134 98 81 55 65 111 70 82 10
Character o c c u r i n g - -g -n -i -r r r i n g i n n e
Milliseconds 67 95 137 82 136 108 127 76 68 261 123 98 134 119 518 434 136 162 61 47 234 123 57 140 87
Character a r l y e v e r y t h i n g w e b o s e r -r
Milliseconds 345 48 143 91 84 106 135 58 78 84 109 82 85 133 12 124 36 63 76 136 18 170 69 69 139
Character -e -s -o -b o b s r e -e -r e r v e i n t h e w o
Milliseconds 109 111 114 109 212 100 112 160 13 414 117 114 51 189 129 169 111 122 45 55 96 47 90 47 89
Character r l d a n d u n i v e r s e , a n d p o w
Milliseconds 75 96 65 99 94 52 128 8 95 153 51 68 95 85 53 95 101 82 68 66 90 28 205 80 129
Character e r f u l m o d e r n i n t r u -u -r -t s t r u
Milliseconds 49 52 383 117 153 69 180 165 120 180 233 183 140 131 136 68 73 137 240 138 93 163 110 85 21
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 183 146 66 70 66 19 68 171 61 169 331 97 69 92 176 67 134 131 65 70 66 80 9 113 40
Character d m o r e . I n i -i t h i s e -e s e c t i
Milliseconds 93 40 58 78 89 48 116 49 106 136 46 148 241 94 96 40 57 93 113 331 39 36 81 181 96
Character o n w e i n t r o d u c e t h e i d e a s
Milliseconds 49 39 82 136 69 150 39 126 114 70 301 259 219 81 102 48 138 39 124 39 96 96 148 57 51
Character o f a v e r a g e a n -n -a -e - e a n d i
Milliseconds 128 37 67 123 54 109 123 67 123 66 152 15 119 124 221 239 149 183 117 115 78 69 82 22 56
Character s n t a n -n -a -t -n -s n s t a n t a n e o u s r a
Milliseconds 127 13 106 80 69 245 109 109 134 126 206 71 73 88 76 177 204 180 132 149 85 119 98 231 119
Character t e s o f o - -o c h a n g e , a n d h o
Milliseconds 99 68 68 52 96 39 83 60 389 286 194 150 77 337 104 147 80 92 125 52 67 97 40 82 100
Character o -o -o -h s h o w t h a t t h e y a r e c l
Milliseconds 165 279 108 216 130 89 27 86 69 95 48 41 67 46 119 95 110 123 122 53 80 69 61 116 85
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 175 12 66 127 107 53 109 69 96 39 55 70 154 88 94 33 92 58 73 44 56 122 55 167 55
Character e o f a . - -. -a a c u r v e a t a p
Milliseconds 103 70 59 47 125 0 164 338 148 142 185 122 110 218 148 91 228 117 85 107 66 82 58 105 96
Character o i n t P o n t h e c u r v e . W e g
Milliseconds 53 111 192 68 120 94 276 91 150 55 72 69 47 72 75 208 164 169 67 90 56 203 180 38 133
Character i v e p r e c i s e d e v e l o p m e n t s
Milliseconds 57 108 81 0 89 87 679 197 158 109 54 124 204 165 120 68 66 150 69 162 109 96 53 59 24
Character o f t h e s e i m p o r t a n t c o n c e p
Milliseconds 66 96 30 135 30 118 107 98 52 97 181 103 55 109 150 53 127 71 78 106 54 111 52 68 180
Character t s i n t h e n e x t c h a p t e r , b
Milliseconds 120 80 40 84 129 32 97 39 68 42 110 81 163 165 67 122 54 69 84 63 97 67 69 82 461
Character u t f o r n o w w e u s e a n i n f r
Milliseconds 133 70 71 93 113 84 19 97 97 25 87 91 87 65 107 40 68 67 124 60 66 77 156 37 189
Character o m -m -o -r o r m a l p -p a p p r o a c h s o
Milliseconds 11 219 259 135 121 204 72 106 96 67 95 176 313 98 83 187 167 68 146 67 85 68 147 53 84
Character y o u w i l l s e e h o w t h e y l e a
Milliseconds 298 96 86 56 80 67 133 120 136 39 99 174 136 55 82 95 94 109 43 120 55 58 91 57 39
Character d n a t u r a l l y t o t h e m a i n i
Milliseconds 95 40 82 109 89 86 58 92 62 146 81 108 110 10 114 51 46 90 26 109 75 66 137 35 68
Character d e a o f t h i s c h a p t e r , t h e
Milliseconds 110 154 79 38 54 129 65 80 68 39 61 82 144 66 80 84 196 103 68 97 80 108 57 78 43
Character l i m i t . T h e i d e a o f a l i m i
Milliseconds 112 53 166 67 170 138 148 120 111 82 56 54 95 129 89 42 53 115 117 27 176 94 32 220 103
Character t l p -p -l p l p a y s -s -y -a -p a y s a f o n
Milliseconds 80 117 34 234 300 134 246 120 0 110 66 141 172 122 134 153 136 107 94 112 162 69 78 86 377
Character -n u n d a t i o n a l r o l e t h r o u g h o
Milliseconds 315 176 137 65 122 82 82 70 66 166 66 83 150 81 166 268 177 149 80 115 48 68 97 87 104
Character u t c a l c u l u s .
Milliseconds 59 67 89 125 85 49 87 105 206 106 96 124
WPM Timing
Seconds WPM
2.19 27.38
4.38 73.93
6.57 91.27
8.77 72.56
10.96 74.48
13.15 76.67
15.34 82.14
17.53 78.72
19.72 76.06
21.91 82.14
24.1 82.14
26.3 82.14
28.49 86.78
30.68 90.36
32.87 93.1
35.06 90.36
37.25 90.84
39.44 90.05
41.63 88.49
43.83 89.26
46.02 86.32
48.21 88.62
50.4 89.53
52.59 87.85
54.78 88.72
56.97 90.15
59.16 90.26
61.36 91.53
63.55 89.7
65.74 88.9
67.93 88.15
70.12 87.45
72.31 89.11
74.5 90.04
76.69 89.65
78.89 90.21
81.08 89.99
83.27 90.93
85.46 91.97
87.65 92.41
89.84 93.23
92.03 92.31
94.22 92.84
96.42 94.09
98.61 95.17
100.8 95.83
102.99 95.43
105.18 94.47
107.37 94.21
109.56 94.63