dozingoff (stopcomparing)

Race #1652

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Official speed 104.89 wpm (98.85 seconds elapsed during race)
Without ending ping 105.35 wpm (319 ms delay sending score to TypeRacer’s server)
Timerless 105.66 wpm (291 ms elapsed before first character typed; 98.24 seconds elapsed during race)
Timerless minus one 105.54 wpm, ignoring the first character typed
Race Start June 13, 2023 6:58:06pm UTC
Race Finish June 13, 2023 6:59:45pm UTC
Outcome No win (2 of 5)
Opponents 1. polopopy (108.13 wpm)
Accuracy 97.9%
Points 283.22
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 hepslps us understand how a achange 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 wasas a fucnnction of the amount of liquid poured into it? We see change occurring in nearly everythingw 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 instatntaneous rates of change, and show that they are closely related to the slope of a curveat at a point P on the curves. . We give precise developments of these important concepts in the nexct t chanpter, but for nwo wenow we use an infromormal approach so you will see how they lead natruurally to the main dieidea of this chapter, the limit. The idea of a limit playess a foundational role throughout clcacllculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 291 220 65 104 110 101 139 131 99 151 0 90 156 73 99 128 216 61 66 170 20 42 55 104 60
Character e p s -s -p l p s u s u n d e r s t a n d h o
Milliseconds 171 505 123 267 85 171 115 106 74 71 89 103 139 127 80 118 178 65 139 94 75 100 75 89 51
Character w a a -a c h a n g e i n o n e q u a n t
Milliseconds 39 100 71 114 178 305 68 120 89 72 124 53 46 88 71 90 67 82 64 139 186 94 123 73 207
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 0 158 156 0 50 137 69 126 0 216 54 120 141 136 0 105 85 80 153 0 155 145 0 52 143
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 81 144 75 158 0 59 120 175 162 0 49 73 54 86 154 177 97 130 52 128 41 119 105 85 94
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 97 87 92 107 110 119 144 65 127 48 120 55 120 128 125 126 120 79 56 74 98 72 80 136 99
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 141 133 142 133 95 133 51 174 92 129 74 75 89 81 77 97 85 149 0 225 221 95 69 165 39
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 66 115 91 98 64 37 183 71 165 184 105 129 75 99 117 145 79 99 86 84 72 58 130 148 88
Character l o f w a t e r i n a b a r r e l c h
Milliseconds 124 39 182 77 120 26 244 119 101 80 44 96 59 116 0 121 99 104 164 141 69 117 78 114 100
Character a n g e w a s -s -a -w a s a f u c n -n -c n c t
Milliseconds 111 48 161 80 128 126 42 152 291 108 127 68 49 93 94 90 99 111 138 26 380 89 141 73 115
Character i o n o f t h e a m o u n t o f l i q u
Milliseconds 56 63 55 45 91 94 65 96 54 85 73 129 104 94 105 160 98 90 88 82 99 59 71 162 118
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 89 141 140 105 174 87 95 97 151 50 106 63 75 90 85 70 54 200 72 58 168 131 95 166 119
Character c h a n g e o c c u r r i n g i n n e a r
Milliseconds 54 141 105 115 76 128 82 93 63 79 128 149 114 165 106 68 72 83 57 93 55 105 23 172 91
Character l y e v e r y t h i n g w -w w e o b s e r v
Milliseconds 71 103 70 80 121 118 75 125 104 111 85 89 54 223 338 173 159 109 157 135 240 470 290 93 169
Character e i n t h e w o r l d a n d u n i v e r
Milliseconds 59 101 85 63 81 34 91 64 86 80 99 111 54 115 86 74 87 90 82 88 143 105 64 110 101
Character s e , a n d p o w e r f u l m o d e r n i
Milliseconds 149 46 218 54 86 83 91 73 204 152 100 28 78 115 60 54 105 120 69 64 161 56 95 60 87
Character n s t r u m e n t s h e l p u s s e e m o
Milliseconds 73 65 64 137 72 157 60 118 85 109 125 149 106 55 120 99 84 72 84 64 156 122 67 110 79
Character r e a n d m o r e . I n t h i s s e c t
Milliseconds 40 56 44 80 61 68 78 129 43 45 65 102 75 120 82 86 70 49 49 91 45 121 59 166 124
Character i o n w e i n t r o d u c e t h e i d e a
Milliseconds 79 48 81 39 123 38 102 78 76 159 167 161 169 114 84 153 83 77 96 52 91 49 98 147 100
Character s o f a v e r a g e a n d i n s t a t -t n
Milliseconds 111 135 106 68 101 124 170 124 101 119 85 85 86 69 110 70 45 105 87 46 90 157 103 469 160
Character t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 86 99 174 129 228 144 105 87 92 68 116 64 133 36 101 65 67 98 110 121 53 135 84 84 41
Character a n d s h o w t h a t t h e y a r e c l
Milliseconds 75 62 83 95 105 64 65 59 111 45 108 0 78 85 74 47 124 62 78 80 88 55 57 131 107
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 126 58 49 90 98 58 61 43 121 97 52 91 124 53 110 49 57 81 70 78 145 103 87 177 106
Character e o f a c u r v e a t -t -a a t a p o i
Milliseconds 132 38 136 89 118 74 95 38 154 54 202 37 208 212 281 96 99 33 77 140 124 67 157 67 83
Character n t P o n t h e c u r v e s . - -. -s .
Milliseconds 66 45 219 205 184 121 78 72 0 120 71 98 95 121 89 260 54 55 139 44 305 110 147 317 86
Character W e g i v e p r e c i s e d e v e l o p m e
Milliseconds 164 165 95 100 90 110 19 60 59 161 82 155 102 89 75 104 172 187 123 53 110 130 106 153 96
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 105 54 100 85 88 46 96 116 90 79 135 50 51 123 99 106 101 75 138 85 68 97 117 107 70
Character n c e p t s i n t h e n e x c t - -t -c t
Milliseconds 58 72 151 109 69 108 106 36 87 81 31 126 61 123 75 85 184 289 142 48 301 114 130 274 115
Character c h a n -n p t e r , b u t f o r n w o w e
Milliseconds 166 104 125 58 347 198 126 119 59 80 51 53 87 83 82 97 70 65 65 90 70 39 100 40 75
Character -w -e -n -w -o - n o w w e u s e a n i n f r o
Milliseconds 374 0 140 0 0 0 340 95 87 113 88 128 108 115 95 100 150 103 121 100 111 64 50 169 107
Character m -m -o -r o r m a l a p p r o a c h s o y o u
Milliseconds 132 305 105 130 194 106 129 101 89 89 103 147 115 126 164 106 135 98 82 123 113 121 102 169 26
Character w i l l s e e h o w t h e y l e a d n
Milliseconds 132 72 114 136 129 97 0 159 122 97 103 80 39 102 138 88 62 92 70 69 52 137 29 166 141
Character a t r u -u -r u r a l l y t o t h e m a i n
Milliseconds 135 94 297 90 248 95 133 45 54 113 98 90 45 53 97 74 80 90 75 58 126 65 87 63 78
Character d i e -d -i -e i d e a o f t h i s c h a p t e
Milliseconds 92 0 245 455 0 0 273 79 147 61 62 81 109 73 96 35 52 113 69 151 95 104 95 123 119
Character r , t h e l i m i t . T h e i d e a o f
Milliseconds 79 43 61 100 74 81 25 110 85 126 98 113 138 73 140 126 117 86 171 79 145 58 110 60 112
Character a l i m i t p l a y e s -s -e s a f o u n
Milliseconds 74 85 59 231 174 100 90 85 104 30 146 67 98 384 156 223 126 101 88 99 104 105 91 111 155
Character d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 0 208 96 107 42 71 110 81 94 60 112 135 101 85 88 79 96 30 66 119 49 167 54 71 110
Character c l c -c $a c l -l -c l c u l u s .
Milliseconds 118 125 154 259 127 162 158 272 105 130 78 101 81 95 98 152
WPM Timing
Seconds WPM
1.98 97.12
3.95 78.91
5.93 91.05
7.91 95.6
9.88 99.55
11.86 103.19
13.84 107.53
15.82 109.26
17.79 109.93
19.77 109.26
21.75 110.36
23.72 110.78
25.7 107.86
27.68 107.09
29.65 107.24
31.63 108.12
33.61 108.9
35.58 108.59
37.56 105.75
39.54 107.14
41.52 107.82
43.49 108.43
45.47 110.32
47.45 111.54
49.42 111.45
51.4 111.83
53.38 110.16
55.35 111.65
57.33 113.03
59.31 113.51
61.28 112.2
63.26 112.11
65.24 110.36
67.22 110.33
69.19 110.82
71.17 111.45
73.15 109.42
75.12 108.78
77.1 107.7
79.08 106.53
81.05 106.45
83.03 106.95
85.01 106.44
86.98 105.67
88.96 106.43
90.94 106.62
92.92 106.16
94.89 106.1
96.87 106.16
98.85 104.89