davidbird764 (davidbird764)

Race #230

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Official speed 115.90 wpm (89.46 seconds elapsed during race)
Without ending ping 116.07 wpm (128 ms delay sending score to TypeRacer’s server)
Timerless 117.13 wpm (814 ms elapsed before first character typed; 88.51 seconds elapsed during race)
Timerless minus one 117.00 wpm, ignoring the first character typed
Race Start November 12, 2023 3:43:03am UTC
Race Finish November 12, 2023 3:44:32am UTC
Outcome No win (3 of 5)
Opponents 1. famboy32 (135.64 wpm)
2. viscoseoce (125.07 wpm)
4. bb__ (109.07 wpm)
Accuracy 97.8%
Points 312.92
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 hcchange in one quantity is related to a change in anoterhher. How does the speed of a falling object change as a fucntinction of time? How does the level of water in a ababarrel change as a function of the amount of liquid poured into it/? We see change occuurring in nearly everything we observe in the world and universe, and powerful modern instruments hlepelp us see more and more. In this section we introduce the ideas of average naand instantaneous rates of change, and show that they are losclseolopselysely related ot to the slope of a curve at a apoint P on the curve. We give preicise developments of these important concepts in the next chapter, but for now we us e an informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. the iThe idea of a limit plays a founcdational 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 814 161 63 104 123 70 115 99 82 95 88 50 134 49 183 89 134 113 97 87 74 62 58 0 111
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 73 80 70 50 98 87 95 70 89 136 64 163 42 92 80 53 89 87 49 97 63 55 61 125 26
Character h c -c -h c h a n g e i n o n e q u a n t i t
Milliseconds 142 41 296 118 81 80 90 71 80 80 29 93 64 69 71 82 96 80 106 86 121 213 164 183 113
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 91 111 115 89 75 455 86 78 202 47 82 158 81 110 80 96 95 104 112 88 76 69 73 75 20
Character i n a n o t e r h -h -r -e h e r . H o w d o e
Milliseconds 82 66 53 73 89 61 57 120 97 66 230 143 114 158 110 81 74 87 169 121 80 54 86 77 93
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 46 68 70 88 65 57 128 0 239 182 153 87 74 86 64 105 65 80 148 43 152 46 75 78 8
Character o b j e c t c h a n g e a s a f u c n t i
Milliseconds 117 76 79 95 122 161 69 123 48 119 46 106 75 83 92 88 76 96 92 88 93 97 89 135 83
Character -i -t -n -c n c t i o n o f t i m e ? H o w d
Milliseconds 173 152 145 152 147 63 155 42 39 58 49 82 64 61 105 52 81 81 152 159 159 105 97 74 97
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 75 90 58 54 105 79 79 83 94 55 122 74 70 88 87 111 7 159 75 59 95 87 61 75 65
Character a a b a -a -b -a b a r r e l c h a n g e a s
Milliseconds 97 76 74 79 95 187 237 138 135 190 432 110 166 71 98 98 121 68 79 81 87 81 71 111 81
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 62 96 72 97 79 149 74 169 58 21 60 47 94 82 54 107 50 51 89 104 24 121 79 120 76
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 60 79 84 46 77 67 73 86 81 94 38 82 72 136 82 78 145 46 90 46 82 118 169 161 103
Character / -/ ? W e s e e c h a n g e o c c u -u u r
Milliseconds 136 276 193 140 152 152 91 108 82 118 92 92 107 72 81 68 73 65 54 106 134 107 182 459 159
Character r i n g i n n e a r l y e v e r y t h i n g
Milliseconds 174 112 47 97 24 127 75 53 88 43 53 56 48 93 59 88 106 103 66 66 100 82 69 90 32
Character w e o b s e r v e i n t h e w o r l d
Milliseconds 111 55 92 51 113 80 127 75 63 169 80 64 72 57 67 60 89 32 103 47 103 23 125 94 88
Character a n d u n i v e r s e , a n d p o w e r f u
Milliseconds 88 69 77 60 90 131 70 55 120 72 91 84 44 74 107 61 89 71 66 71 42 30 73 151 24
Character l m o d e r n i n s t r u m e n t s h l e p
Milliseconds 61 91 97 47 49 135 48 65 54 75 71 151 74 144 81 125 97 97 97 116 90 98 97 20 177
Character -p -e -l e l p u s s e e m o r e a n d m o
Milliseconds 216 129 134 99 74 88 37 110 83 69 107 56 151 71 48 77 37 70 48 119 44 117 98 87 65
Character r e . I n t h i s s e c t i o n w e i n
Milliseconds 53 69 62 108 163 145 103 72 86 49 32 95 82 65 95 189 57 27 63 71 55 68 77 108 44
Character t r o d u c e t h e i d e a s o f a v e r
Milliseconds 66 146 76 92 93 78 72 82 90 61 48 76 60 65 142 49 104 65 71 93 70 78 80 137 89
Character a g e n a -a -n a n d i n s t a n t a n e o u s
Milliseconds 103 85 72 72 136 26 319 131 86 67 60 88 87 66 47 82 80 111 103 121 146 132 138 72 104
Character r a t e s o f c h a n g e , a n d s h o
Milliseconds 70 133 99 77 77 78 56 102 58 93 222 135 54 108 79 71 66 93 98 81 52 96 89 74 71
Character w t h a t t h e y a r e l o s -s -o -l c l s
Milliseconds 65 69 74 123 19 75 89 78 72 33 102 82 38 65 62 50 200 137 64 216 122 126 103 88 96
Character e o l -l -o -e -s o p s e l y -y -l -e -s -p s e l y r e
Milliseconds 83 13 137 255 127 158 147 176 0 55 63 75 141 203 145 142 147 154 97 57 65 120 54 105 81
Character l a t e d o t - -t -o t o t h e s l o p e
Milliseconds 23 145 48 73 136 77 90 40 112 279 134 147 111 72 131 86 88 39 104 87 72 128 98 80 55
Character o f a c u r v e a t a a -a p o i n t P
Milliseconds 102 83 41 112 45 93 101 87 147 77 89 94 60 97 93 89 135 266 165 88 79 57 10 115 180
Character o n t h e c u r v e . W e g i v e p r
Milliseconds 142 64 82 71 85 85 46 87 75 94 81 152 62 55 105 153 195 76 116 102 67 68 59 60 84
Character e i -i c i s e d e v e l o p m e n t s o f t
Milliseconds 92 276 238 169 115 92 73 48 117 154 88 98 63 153 63 89 80 102 80 96 62 98 86 64 90
Character h e s e i m p o r t a n t c o n c e p t s i
Milliseconds 56 46 99 96 28 89 58 54 74 55 151 74 64 122 78 120 89 38 98 112 102 89 94 91 82
Character n t h e n e x t c h a p t e r , b u t f
Milliseconds 69 58 72 84 50 104 107 27 149 127 95 176 102 90 81 71 87 88 46 81 87 76 70 86 96
Character o r n o w w e u s - e a n i n f o r m
Milliseconds 84 103 61 99 61 59 85 117 70 87 105 49 125 227 93 90 105 70 111 104 71 48 107 70 89
Character a l a p p r o a c h s o y o u w i l l s
Milliseconds 96 63 99 86 53 155 64 122 110 110 114 80 112 119 120 98 77 90 55 71 99 36 156 90 45
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 73 125 129 96 41 102 86 76 70 109 38 100 82 67 53 89 87 65 111 57 98 94 80 22 144
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 64 79 58 63 106 72 99 36 108 68 119 114 46 84 105 73 127 59 72 82 81 97 77 47 90
Character s c h a p t e r , t h e l i m i t . t h e
Milliseconds 54 83 96 82 60 80 73 94 91 63 70 74 68 84 88 41 115 68 110 96 97 123 165 71 96
Character i -i - -e -h -t T h e i d e a o f a l i m i
Milliseconds 58 94 205 142 143 152 147 238 96 77 60 96 68 147 37 74 63 74 88 96 71 174 92 85 115
Character t p l a y s a f o u n c -c d a t i o n a l
Milliseconds 80 76 73 90 86 91 78 72 120 54 132 101 33 168 65 303 70 96 66 79 23 77 120 91 108
Character r o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 101 107 142 82 105 52 113 71 87 61 37 128 160 88 114 78 110 146 102 114 95 96 105 105 31
WPM Timing
Seconds WPM
1.79 67.07
3.58 103.96
5.37 111.79
7.16 112.35
8.95 105.97
10.73 112.9
12.52 106.36
14.31 108.99
16.1 112.53
17.89 107.99
19.68 109.14
21.47 111.79
23.26 108.86
25.05 108.75
26.84 111.34
28.63 113.6
30.42 110.87
32.2 109.92
33.99 111.2
35.78 113.02
37.57 114.98
39.36 117.07
41.15 114.9
42.94 116.26
44.73 117.51
46.52 118.67
48.31 117.75
50.1 118.09
51.88 118.65
53.67 118.05
55.46 114.89
57.25 113.6
59.04 112.4
60.83 113.04
62.62 112.87
64.41 112.9
66.2 112.57
67.99 113.49
69.78 114.19
71.57 114.86
73.35 114.68
75.14 114.98
76.93 115.74
78.72 116.46
80.51 117.15
82.3 116.35
84.09 115.88
85.88 115.98
87.67 115.8
89.46 115.9