john (kyrie456king)

Race #1726

View Pit Stop page for race #1726 by kyrie456king — Ghost race

View profile for john (kyrie456king)

Official speed 94.77 wpm (109.40 seconds elapsed during race)
Without ending ping 94.91 wpm (166 ms delay sending score to TypeRacer’s server)
Timerless 95.07 wpm (177 ms elapsed before first character typed; 109.06 seconds elapsed during race)
Timerless minus one 94.96 wpm, ignoring the first character typed
Race Start April 1, 2024 1:57:00am UTC
Race Finish April 1, 2024 1:58:49am UTC
Outcome No win (2 of 5)
Opponents 1. venison1488 (104.25 wpm)
Accuracy 97.6%
Points 255.87
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 ca change in one quantity is related to a change in saanother. How does the spended of a fallig eng object change as af function of time? How does the level of water in a barra ael chagenge as a function of the amount of liquid porured into tit? We see change occuriring in emnaerlearly everything we observe in the worla d and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instatntangegoous rates of change, and show that they are closely relatyeded to the slope of a curve at a point P on the curve. We vgive 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 funoundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 177 297 126 167 174 224 216 117 83 79 75 85 87 77 202 63 105 139 84 75 83 55 48 57 172
Character e l p s u s u n d e r s t a n d h o w c -c
Milliseconds 94 87 55 63 100 102 90 91 215 69 36 69 108 136 65 69 124 48 110 150 73 65 87 192 324
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 55 107 80 101 73 91 84 83 6 191 68 138 267 61 75 80 208 91 152 105 243 98 81 166 55
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 176 192 88 165 61 104 91 55 104 97 43 139 55 76 100 106 93 92 74 80 96 82 23 139 57
Character s a -a -s a n o t h e r . H o w d o e s t h
Milliseconds 139 127 168 153 110 144 59 79 96 83 33 71 71 150 184 85 141 318 110 94 101 137 56 106 59
Character e s p e n d -d -n e d o f a f a l l i g e
Milliseconds 52 121 79 98 71 110 26 333 99 82 55 57 90 145 66 80 80 103 81 70 104 167 94 87 62
Character -e - -g n g o b j e c t c h a n g e a s a f
Milliseconds 281 129 115 153 79 78 98 75 153 59 46 170 104 215 102 68 92 27 83 63 116 80 43 264 244
Character -f f u n c t i o n o f t i m e ? H o w d
Milliseconds 367 58 45 126 57 59 156 61 131 35 153 91 36 99 117 51 71 42 339 183 245 192 132 92 70
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 89 63 159 49 105 55 56 97 118 114 81 100 80 56 172 73 77 62 78 53 118 54 65 147 97
Character a b a r r a - -a a -a e l c h a g e -e -g n g
Milliseconds 179 92 69 131 56 55 148 34 210 334 109 615 423 67 111 79 311 90 69 120 122 260 105 171 52
Character e a s a f u n c t i o n o f t h e a m
Milliseconds 88 48 143 76 67 116 53 135 88 58 50 163 51 120 41 143 81 72 69 101 52 53 118 106 57
Character o u n t o f l i q u i d p o r -r u r e d i
Milliseconds 66 140 79 64 73 105 90 84 286 190 181 106 131 126 65 247 193 204 291 145 72 84 88 63 153
Character n t o t -t i t ? W e s e e c h a n g e o
Milliseconds 63 70 57 75 187 334 127 42 198 142 90 187 104 92 171 125 126 111 133 75 189 167 90 72 278
Character c c u r i -i r i n g i n e m -m -e n a e r l -l -r
Milliseconds 193 280 163 99 148 330 36 117 66 53 78 101 52 140 137 85 262 115 148 126 3 69 74 337 133
Character -e -a e a r l y e v e r y t h i n g w e o b s
Milliseconds 135 106 113 12 47 63 144 58 214 120 123 302 210 153 73 114 81 43 132 82 161 69 213 24 331
Character e r v e i n t h e w o r l a - -a d a n d
Milliseconds 202 53 219 78 69 167 50 153 88 73 41 119 108 61 100 55 204 121 251 91 69 128 81 89 29
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 126 141 59 153 96 72 103 106 164 59 164 100 97 47 154 398 161 145 145 18 174 98 168 92 145
Character o d e r n i n s t r u m e n t s h e l p u s
Milliseconds 63 101 80 121 132 155 147 67 162 41 175 144 210 93 102 56 159 96 180 129 105 38 195 78 138
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 110 132 188 153 84 160 41 51 71 40 173 58 53 91 139 42 86 55 82 157 137 156 138 91 85
Character i s s e c t i o n w e i n t r o d u c e t
Milliseconds 48 42 120 84 177 17 200 61 125 45 153 87 159 84 184 53 112 153 99 164 99 105 78 66 183
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 73 42 101 133 66 63 44 147 99 95 62 124 82 118 129 66 91 107 87 57 141 84 45 103 140
Character n s t a t -t n t a n g -g e g o -o -g o u s r a t e
Milliseconds 80 146 108 83 118 403 141 82 210 190 148 383 92 92 191 313 106 138 215 98 92 84 56 143 66
Character s o f c h a n g e , a n d s h o w t h a
Milliseconds 218 106 208 76 79 116 83 69 118 94 77 76 149 102 89 6 158 83 130 59 105 114 165 76 44
Character t t h e y a r e c l o s e l y r e l a t y
Milliseconds 81 69 79 186 78 59 84 150 115 82 83 119 115 122 43 167 74 119 78 153 67 176 150 78 8
Character e d -d -e -y e d t o t h e s l o p e o f a
Milliseconds 83 106 240 264 139 106 47 83 140 36 83 90 80 32 137 57 114 126 136 83 92 78 102 76 79
Character c u r v e a t a p o i n t P o n t h
Milliseconds 100 95 197 95 190 73 50 138 102 98 84 89 180 142 380 64 120 116 192 225 127 81 180 137 32
Character e c u r v e . W e v -v g i v e p r e c i s
Milliseconds 84 77 115 90 91 168 75 111 196 64 171 104 174 327 152 119 69 59 88 152 125 79 272 174 73
Character e d e v e l o p m e n t s o f t h e s e i
Milliseconds 133 91 222 58 191 51 138 132 126 200 132 103 83 96 73 128 81 85 131 71 63 193 120 42 166
Character m p o r t a n t c o n c e p t s i n t h e
Milliseconds 59 154 145 114 150 88 67 85 90 213 84 323 261 64 136 107 105 63 136 44 172 48 295 129 80
Character n e x t c h a p t e r , b u t f o r n o w
Milliseconds 115 84 86 234 84 270 90 182 165 453 104 62 78 155 170 64 43 115 106 90 71 72 141 77 91
Character w e u s e a n i n f o r m a l a p p r o
Milliseconds 84 78 184 77 95 52 131 56 181 78 151 147 55 118 72 162 89 297 126 96 216 126 115 216 112
Character a c h s o y o u w i l l s e e h o w t
Milliseconds 92 63 102 167 236 57 69 173 143 171 180 106 90 174 109 37 97 222 155 110 178 53 70 115 104
Character h e y l e a d n a t u r a l l y t o t h e
Milliseconds 94 61 40 87 177 54 36 41 134 199 136 76 277 176 63 107 107 47 118 144 89 65 205 38 116
Character m a i n i d e a o f t h i s c h a p t e
Milliseconds 101 117 130 108 55 173 171 108 72 39 108 108 54 104 120 72 90 132 96 269 93 106 118 150 111
Character r , t h e l i m i t . T h e i d e a o f
Milliseconds 48 91 152 84 86 36 128 132 184 132 33 183 128 133 73 141 66 97 138 63 69 26 78 91 74
Character a l i m i t p l a y s a f u n -n -u o u n
Milliseconds 86 35 144 278 175 64 161 98 89 144 83 21 54 223 92 90 98 194 138 104 322 110 164 191 75
Character d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 45 64 468 85 111 78 75 110 140 70 85 160 69 91 109 62 125 66 159 102 51 193 147 69 84
Character c a l c u l u s .
Milliseconds 175 172 153 96 419 311 158 121 128
WPM Timing
Seconds WPM
2.19 82.27
4.38 104.2
6.56 106.03
8.75 101.46
10.94 107.49
13.13 102.38
15.32 102.64
17.5 99.4
19.69 98.11
21.88 98.17
24.07 102.21
26.26 97.8
28.44 94.5
30.63 97.15
32.82 96.53
35.01 94.95
37.2 94.52
39.38 92.93
41.57 90.93
43.76 90.49
45.95 90.36
48.14 90.99
50.32 91.33
52.51 91.63
54.7 92.58
56.89 93.45
59.08 94.45
61.26 94.21
63.45 92.29
65.64 93.05
67.83 94.12
70.02 93.23
72.21 94.07
74.39 93.88
76.58 93.7
78.77 93.69
80.96 94.12
83.15 93.96
85.33 93.8
87.52 94.06
89.71 94.17
91.9 94.02
94.09 94.64
96.27 94.61
98.46 94.94
100.65 95.26
102.84 95.8
105.03 95.06
107.21 95.36
109.4 94.77