venison1488 (venison1488)

Race #4

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Official speed 104.25 wpm (99.45 seconds elapsed during race)
Without ending ping 104.48 wpm (219 ms delay sending score to TypeRacer’s server)
Timerless 104.77 wpm (277 ms elapsed before first character typed; 98.96 seconds elapsed during race)
Timerless minus one 104.65 wpm, ignoring the first character typed
Race Start April 1, 2024 1:57:00am UTC
Race Finish April 1, 2024 1:58:39am UTC
Outcome Win (1 of 5)
Accuracy 96.2%
Points 281.46
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 change in one quantity is related to a change in another. How does the speed of a falling object change as a fucntinction of time? hhHow does the level of water in a barrel change as affu function of the amount of lqiquid poured inti o it? We can ssee change occuring iring nearlin nearlyt everhything we observe in the world and universe, wand mopowerful modern instruments helps uis us us see more and more. In this acsection we introduce the ideas of averager a and instantaneous rates of changem, , and hshoow that they caare closely related to the slope of a curve at a point P on the curve. WEe cgive precise decelvelopments of these ioimportant concepts in the next chapter, butr for now we use ian informal approach so you will se hoe how they lead naturally to the mmain idea of this c haot=hapter, the limit. The idea of ali limtiit plays a fuoundational 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 277 114 66 88 122 182 134 46 45 84 67 66 85 95 65 48 113 136 84 59 37 61 80 17 71
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 79 113 133 59 53 67 60 82 68 121 30 86 93 57 83 97 37 85 49 59 46 36 77 81 89
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 83 42 80 57 74 48 48 248 147 44 270 130 41 40 95 70 101 50 89 73 112 202 88 86 67
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 56 315 78 43 139 113 108 123 72 103 14 116 63 113 80 21 96 46 66 63 42 38 123 45 60
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 57 140 65 63 60 74 101 114 197 141 13 92 59 59 86 26 72 74 16 51 91 63 37 127 153
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 58 63 20 109 79 54 105 79 77 53 109 140 125 43 49 50 88 81 58 87 146 44 161 44 93
Character n g e a s a f u c n t i -i -t -n -c n c t i o n
Milliseconds 57 55 43 72 72 64 79 78 80 72 11 176 54 156 41 187 111 110 129 475 79 177 17 56 126
Character o f t i m e ? h -h h -h H o w d o e s t h
Milliseconds 29 118 28 79 88 25 155 65 130 88 62 300 272 268 191 138 26 83 75 53 126 78 175 34 41
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 68 75 54 54 92 59 45 74 101 26 87 46 116 66 85 78 63 35 144 52 49 120 43 85 65
Character r e l c h a n g e a s a f f u -u -f -f f u n
Milliseconds 149 30 55 96 72 52 48 86 32 66 78 62 57 94 70 101 104 34 223 122 239 102 269 40 150
Character c t i o n o f t h e a m o u n t o f l q
Milliseconds 12 347 31 57 141 59 113 45 63 83 26 62 84 79 41 104 65 135 21 55 83 59 62 44 207
Character -q i q u i d p o u r e d i n t i - -i o i t
Milliseconds 193 127 85 91 35 81 46 117 127 190 77 86 100 71 31 135 64 72 103 201 128 106 66 90 43
Character ? W e c a n s -s - -n -a -c s e e c h a n g e
Milliseconds 174 115 129 180 82 112 64 13 123 110 120 112 106 112 262 99 44 145 68 119 30 78 73 54 48
Character o c c u r i n g i -i - -g -n -i r i n g n e a r
Milliseconds 63 63 96 142 71 88 53 129 44 58 41 242 99 102 119 392 96 109 250 34 75 112 44 57 89
Character l -l -r -a -e -n i n n e a r l y t - -t e v e r h
Milliseconds 33 211 117 110 115 202 174 135 49 272 60 77 84 52 123 6 75 176 117 206 116 91 93 74 233
Character -h y t h i n g w e o b s e r v e i n t h e
Milliseconds 250 177 115 72 58 114 31 68 79 59 92 129 79 133 168 144 204 97 80 62 129 59 74 26 123
Character w o r l d a n d u n i v e r s e , w -w a n
Milliseconds 85 84 34 76 86 96 60 246 78 66 55 128 125 125 34 117 84 121 67 28 188 105 262 87 89
Character d m o -o -m p o w e r f u l m o d e r n i n s
Milliseconds 37 50 92 150 154 150 101 139 36 11 43 175 25 138 110 44 154 52 74 80 44 72 76 126 36
Character t r u m e n t s h e l p s u i s -s -i -u - u s
Milliseconds 30 164 35 137 42 91 17 88 76 48 110 78 43 99 59 75 16 72 159 115 111 123 87 105 133
Character -s -u - -s u s s e e m o r e a n d m o r e
Milliseconds 165 107 113 117 122 157 99 144 161 39 159 83 54 104 36 51 63 100 62 66 54 56 100 83 65
Character . I n t h i s a c -c -a s e c t i o n w e
Milliseconds 120 133 157 150 50 51 47 21 98 92 72 20 192 100 79 50 179 160 19 43 129 39 58 48 152
Character i n t r o d u c e t h e i d e a s o f a v
Milliseconds 161 125 28 164 33 131 26 146 61 81 61 39 131 169 106 44 154 44 39 136 64 60 108 44 198
Character e r a g e r a -a - -r a n d i n s t a n t a n
Milliseconds 125 67 91 72 58 10 68 84 172 116 117 75 76 90 51 58 209 199 33 45 131 84 100 325 126
Character e o u s r a t e s o f c h a n g e m , - -,
Milliseconds 117 211 108 117 113 217 105 80 154 75 53 43 87 117 92 45 51 117 62 86 67 0 110 148 118
Character -m , a n d h -h s h o -o o w t h a t t h e y
Milliseconds 108 180 116 114 42 79 83 75 205 133 71 38 445 368 87 66 85 41 62 76 67 165 60 16 174
Character c a -a -c a r e c l o s e l y r e l a t e d
Milliseconds 132 74 123 138 127 156 218 64 87 285 58 138 21 58 127 118 100 131 63 60 92 73 264 122 88
Character t o t h e s l o p e o f a c u r v e a
Milliseconds 117 20 104 31 36 30 158 38 42 146 42 30 85 109 46 92 42 130 66 71 87 212 44 79 105
Character t a p o i n t P o n t h e c u r v e .
Milliseconds 73 80 62 122 46 144 154 160 46 84 53 142 42 153 55 75 14 96 104 224 68 119 158 34 52
Character W E -E e c -c g i v e p r e c i s e d e c e
Milliseconds 108 95 67 364 169 93 183 205 80 62 84 76 103 81 68 72 116 39 114 63 80 126 164 101 114
Character l -l -e -c v e l o p m e n t s o f t h e s e i
Milliseconds 117 220 111 114 56 70 100 127 52 147 62 71 42 130 87 83 71 95 73 28 50 260 65 130 69
Character o -o -i i m p o r t a n t c o n c e p t s i n
Milliseconds 3 256 109 134 154 125 117 80 166 140 44 87 76 120 46 152 102 77 66 112 138 105 67 128 51
Character t h e n e x t c h a p t e r , b u t r - -r
Milliseconds 69 34 84 73 62 53 88 180 46 215 122 86 90 54 90 64 35 140 63 65 100 6 57 193 120
Character f o r n o w w e u s e i -i a n i n f o
Milliseconds 221 79 69 104 48 30 108 66 115 90 22 160 129 74 62 124 125 213 96 55 54 107 118 97 105
Character r m a l a p p r o a c h s o y o u w i l l
Milliseconds 95 57 76 72 48 96 39 120 54 89 53 88 57 88 83 47 100 121 39 112 71 34 57 139 102
Character s e h o -o -h - e h o w t h e y l e a d
Milliseconds 71 51 57 169 95 41 234 104 111 78 92 112 37 70 84 80 23 94 63 111 89 34 77 97 82
Character n a t u r a l l y t o t h e m -m m a i n i
Milliseconds 98 56 64 95 82 57 70 110 28 79 138 58 100 67 33 55 129 75 224 305 146 26 141 43 126
Character d e a o f t h i s c h a o t -t -o = -= -a -h -
Milliseconds 10 154 54 77 64 63 61 116 52 47 77 87 91 5 20 108 89 33 196 117 9 99 109 179 484
Character h a p t e r , t h e l i m i t . T h e i d
Milliseconds 97 148 57 103 95 75 51 165 132 37 63 102 43 129 116 133 77 90 101 230 136 43 89 64 31
Character e a o f a l i -i - -l l i m t i -i -t i t p
Milliseconds 162 39 71 49 65 131 41 433 185 191 251 146 134 842 195 160 128 79 38 227 115 117 50 47 62
Character l a y s a f u -u o u n d a t i o n a l r o l
Milliseconds 109 79 144 377 167 78 119 75 79 317 133 153 133 22 104 76 24 52 119 52 102 64 130 133 129
Character e t h r o u g h o u t c a l c u l u s .
Milliseconds 24 91 84 42 123 51 72 110 61 114 75 7 108 84 65 60 121 76 157 114 72 95
WPM Timing
Seconds WPM
1.99 120.66
3.98 144.79
5.97 140.77
7.96 134.23
9.95 138.76
11.93 141.78
13.92 138.76
15.91 131.97
17.9 124.68
19.89 129.11
21.88 125.6
23.87 126.69
25.86 125.76
27.85 121.09
29.84 119.45
31.83 113.87
33.81 110.37
35.8 107.92
37.79 108.91
39.78 108.9
41.77 108.31
43.76 108.87
45.75 105.71
47.74 107.59
49.73 107.63
51.72 108.59
53.7 107.48
55.69 107.52
57.68 106.31
59.67 105.38
61.66 104.7
63.65 105.95
65.64 106.58
67.63 106.11
69.62 105.66
71.61 105.58
73.6 105.17
75.58 105.74
77.57 105.96
79.56 106.18
81.55 106.98
83.54 107.16
85.53 107.19
87.52 106.81
89.51 106.45
91.5 106.36
93.49 104.36
95.48 103.69
97.46 103.79
99.45 104.25