Noah (noahsfunny)

Race #17

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Official speed 97.18 wpm (106.69 seconds elapsed during race)
Without ending ping 97.40 wpm (243 ms delay sending score to TypeRacer’s server)
Timerless 97.50 wpm (109 ms elapsed before first character typed; 106.34 seconds elapsed during race)
Timerless minus one 97.39 wpm, ignoring the first character typed
Race Start April 17, 2024 9:30:29pm UTC
Race Finish April 17, 2024 9:32:16pm UTC
Outcome Win (1 of 3)
Opponents 2. cdd_3f (77.19 wpm)
Accuracy 96.4%
Points 262.38
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 Calculauus is a tool taht hehat thhelps us understand how a change in one suqquanqunaitantity is reallated to a change in another. How does the speeed d of a falling object change as a function of time? How doest he the level of water in a barrel chnage ange isas a function of the amount of liquid poured into ittit? We see change occuring iring in nearly everything we observe in the world and universe, and powerful modern intrusstruments helpu us see more and more .. In this section we introduce the ideas of average iand instatnenteaaneous rates of change, and show that they are losclsoeosely raelated the too the slope of a curve at a point P on the curve. We give precise developments aof thersese se important concepts in the next chapter but m but , b, bu nt for now we use a nn informal approach so you will see how they lead inaturally to the main idea of this chatptapter, the limit. The idea of a limit plays a foundational role thtrourroughout calculus.
Timing
Character C a l c u l a u -u -a u s i s a t o o l t a
Milliseconds 109 473 82 112 55 150 27 189 161 356 166 64 19 53 62 50 65 66 121 80 118 118 95 35 103
Character h t h e -e -h - -t -h -a h a t t h -h -t h e l p s
Milliseconds 0 65 34 161 37 151 110 109 119 115 248 199 29 26 31 117 153 81 182 114 16 88 143 22 48
Character u s u n d e r s t a n d h o w a c h a n g
Milliseconds 86 80 52 151 121 21 91 51 98 79 54 84 82 33 134 51 93 22 82 97 205 70 66 65 98
Character e i n o n e s u q -q -u q u a n -n -a -u -q -s q u
Milliseconds 21 51 64 117 52 113 99 21 64 162 66 21 199 100 95 69 106 29 202 118 102 119 111 135 53
Character n a i t -t -i -a -n a n t i t y i s r e a l -l -a l
Milliseconds 129 52 101 78 202 116 120 279 120 83 86 95 75 128 50 263 30 21 120 62 32 55 176 110 267
Character a t e d t o a c h a n g e i n a n o t h
Milliseconds 51 21 60 132 20 151 57 38 148 73 166 65 132 0 117 17 47 31 132 73 49 79 155 61 74
Character e r . H o w d o e s t h e s p e e e d -
Milliseconds 68 44 51 121 331 116 88 14 130 99 51 49 17 99 53 33 66 101 49 34 145 124 245 49 149
Character -d -e d o f a f a l l i n g o b j e c t c
Milliseconds 89 118 80 28 110 80 29 131 75 212 89 28 135 134 127 73 17 82 122 112 66 49 134 70 131
Character h a n g e a s a f u n c t i o n o f t i
Milliseconds 86 30 132 86 36 42 140 62 69 118 29 155 126 116 49 153 14 116 117 53 101 32 42 81 58
Character m e ? H o w d o e s t h e -e -h - -t t h e
Milliseconds 122 38 197 144 190 102 110 17 123 66 132 62 135 37 57 124 131 118 123 107 74 35 134 80 28
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 104 65 86 66 69 110 71 62 54 100 84 65 87 66 47 68 132 67 45 92 114 130 37 134 70
Character l c h n a g e - -e -g -a -n a n g e i s -s -i a s
Milliseconds 81 65 196 52 150 12 107 28 56 311 92 100 127 128 128 131 66 29 54 152 69 129 114 71 28
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 56 101 32 76 182 137 36 162 0 105 132 55 115 24 38 156 62 34 68 65 71 145 120 101 76
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 17 84 67 37 44 142 98 100 135 59 38 179 142 194 86 64 107 105 56 119 79 70 81 101 13
Character -t -i t -t i t ? W e s e e c h a n g e o c c
Milliseconds 206 112 401 136 282 48 231 400 122 145 55 102 66 113 66 485 88 46 70 83 16 48 113 204 136
Character u r i n g i -i - -g -n -i r i n g i n n e a r l
Milliseconds 67 100 81 126 33 20 133 188 119 98 102 126 214 108 127 39 27 215 104 47 123 83 61 99 133
Character y e v e r y t h i n g w e o b s e r v e i
Milliseconds 89 48 134 99 83 88 151 147 80 136 133 0 31 124 28 31 553 30 135 70 247 186 32 102 161
Character n t h e w o r l d a n d u n i v e r s e ,
Milliseconds 147 8 45 91 17 62 94 54 56 84 78 67 70 68 47 29 106 128 141 43 140 48 97 99 72
Character a n d p o w e r f u l m o d e r n i n t r
Milliseconds 123 85 121 0 67 122 113 29 39 17 149 48 150 67 64 135 49 94 94 44 101 88 118 30 132
Character u s -s -u -r -t s t r u m e n t s h e l p u - -u
Milliseconds 101 51 162 106 118 117 57 152 125 77 139 65 85 81 84 84 278 32 88 117 149 21 265 130 65
Character u s s e e m o r e a n d m o r e . -. - .
Milliseconds 103 68 29 218 88 147 28 100 166 33 34 18 74 44 70 17 97 130 34 23 27 105 193 126 191
Character I n t h i s s e c t i o n w e i n t r o
Milliseconds 72 189 130 17 81 79 128 39 18 120 20 181 159 54 120 133 0 87 64 50 77 169 85 130 48
Character d u c e t h e i d e a s o f a v e r a g e
Milliseconds 154 101 87 165 48 147 54 80 33 80 73 115 39 118 59 157 80 30 369 146 91 63 69 82 28
Character i -i a n d i n s t a t n e -e -n -t n t e a -a -e a
Milliseconds 72 145 238 50 117 26 20 123 112 49 70 78 74 96 67 235 117 100 369 63 32 180 234 105 82
Character n e o u s r a t e s o f c h a n g e , a n
Milliseconds 116 131 122 126 53 32 237 54 97 68 135 98 132 69 30 247 118 0 185 34 20 98 102 198 378
Character d s h o w t h a t t h e y a r e l o s -s
Milliseconds 33 38 135 25 169 49 17 87 44 91 43 90 282 65 70 65 28 116 73 34 67 352 144 54 170
Character -o -l c l s o e -e -o -s o s e l y r a -a e l a t e d
Milliseconds 112 102 102 44 120 18 213 217 110 108 180 88 62 102 169 63 251 52 315 119 82 66 53 74 142
Character t h e t -t - -e o -o -h o t h e s l o p e o
Milliseconds 51 213 83 34 67 112 167 125 118 163 180 107 146 67 33 99 31 52 139 113 182 136 33 25 140
Character f a c u r v e a t a p o i n t P o n
Milliseconds 82 68 81 82 369 88 57 148 21 54 84 132 88 145 85 195 130 139 155 28 50 118 120 229 129
Character t h e c u r v e . W e g i v e p r e c i
Milliseconds 74 49 66 53 47 115 55 108 133 26 100 67 111 53 117 161 91 96 31 75 165 46 48 303 83
Character s e d e v e l o p m e n t s a -a o f t h e r
Milliseconds 76 55 31 173 81 197 70 70 185 129 150 71 79 47 65 99 93 229 133 34 62 75 61 69 104
Character s -s -r e s e - -e -s -e s e i m p o r t a n t c
Milliseconds 76 249 120 31 72 63 67 303 134 108 122 89 21 35 139 125 142 115 45 107 18 43 105 38 163
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 31 250 117 119 99 95 71 48 96 105 31 36 120 18 40 87 82 154 162 54 103 63 105 83 59
Character e r b u t - -t -u -b - m b u t - -t -u -b - ,
Milliseconds 91 47 178 90 30 133 27 135 106 117 115 200 168 63 65 104 102 49 97 116 118 106 128 155 62
Character b -b - -, -m , b u n -n - t f o r n o w w e
Milliseconds 46 229 109 102 115 231 140 111 72 132 65 246 169 173 14 158 74 71 28 116 129 54 31 251 46
Character u s e a n -n - n i n f o r m a l a p p r
Milliseconds 56 134 50 30 50 101 86 51 211 123 186 49 107 124 33 131 0 136 77 106 84 83 101 149 115
Character o a c h s o y o u w i l l s e e h o w
Milliseconds 34 350 66 117 70 132 295 88 60 52 122 67 24 73 133 112 73 44 51 142 40 152 54 103 14
Character t h e y l e a d i -i n a t u r a l l y t o
Milliseconds 134 66 75 35 32 104 66 42 110 39 76 302 162 35 53 87 66 177 99 126 62 28 173 67 67
Character t h e m a i n i d e a o f t h i s c h a
Milliseconds 81 68 67 27 101 56 100 119 40 153 67 106 49 82 95 76 47 148 26 159 27 32 135 120 118
Character t -t -a p t -t -p a p t e r , t h e l i m i t .
Milliseconds 120 351 137 121 34 268 119 67 120 73 109 49 39 157 89 63 69 25 74 251 169 150 45 84 82
Character T h e i d e a o f a l i m i t p l a y s
Milliseconds 100 64 72 80 266 101 100 49 72 61 83 54 63 87 117 132 119 128 31 19 104 134 17 95 83
Character a f o u n d a t i o n a l r o l e t h t r
Milliseconds 164 75 83 132 68 166 113 32 50 96 39 98 159 60 96 72 169 84 129 20 60 115 159 142 9
Character o u -u -o -r r -r -t r o u g h o u t c a l c u l u s
Milliseconds 64 146 202 103 113 137 118 159 156 59 151 35 173 25 120 36 65 181 70 48 146 53 168 150 70
Character .
Milliseconds 85
WPM Timing
Seconds WPM
2.13 67.49
4.27 56.24
6.4 80.61
8.54 89.98
10.67 74.23
12.8 77.8
14.94 86.77
17.07 87.87
19.2 92.48
21.34 98.42
23.47 95.61
25.61 99.82
27.74 96.9
29.87 99.22
32.01 100.85
34.14 97.36
36.27 97.26
38.41 95.29
40.54 96.49
42.68 97.85
44.81 99.89
46.94 98.93
49.08 98.54
51.21 99.35
53.34 100.55
55.48 101.66
57.61 100.19
59.75 99.82
61.88 100.45
64.01 99.35
66.15 97.78
68.28 96.84
70.41 97.31
72.55 97.76
74.68 98.5
76.82 98.42
78.95 97.43
81.08 98.42
83.22 96.76
85.35 94.9
87.48 95.06
89.62 94.94
91.75 95.87
93.89 96.24
96.02 97.48
98.15 96.71
100.29 97.16
102.42 97.83
104.55 97.1
106.69 97.18