Peter (hamcorporal)

Race #3452

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Official speed 92.95 wpm (111.54 seconds elapsed during race)
Without ending ping 93.07 wpm (142 ms delay sending score to TypeRacer’s server)
Timerless 93.33 wpm (316 ms elapsed before first character typed; 111.09 seconds elapsed during race)
Timerless minus one 93.23 wpm, ignoring the first character typed
Race Start June 18, 2023 6:42:38pm UTC
Race Finish June 18, 2023 6:44:29pm UTC
Outcome Win (1 of 5)
Opponents 3. breadcheese2021 (71.32 wpm)
4. mdubaid_ulllah000 (70.50 wpm)
Accuracy 97.7%
Points 250.97
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 quanitttity is related to a change in another. How does the speed of a falling oibobject change as af function of itmetime/ ? Howd does the level of water in a barrel change as a function of the amount of liquid opoipoured into it? We see change occurring in nearly everything we soobserive in the world and universe, and powerful modern instrumetnnts help us see more and more. In this section we introduce the diideas of average and instantaneous rates of change, and show that they are closely realtlated to the slope of a curve at a point P on the curve. We givce e precise developemments of these imporrttant 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 htthgrrou8gghout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 316 172 178 357 175 77 173 134 118 92 116 32 125 81 150 53 158 200 73 43 102 32 65 45 92
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 121 149 199 139 101 103 100 78 149 98 101 170 118 111 116 109 90 96 95 114 51 69 101 64 135
Character c h a n g e i n o n e q u a n i t t -t -t -i t
Milliseconds 83 85 91 73 116 66 52 54 65 102 125 71 106 114 214 99 148 87 121 70 199 198 162 137 75
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 152 90 135 86 150 107 56 92 66 106 64 105 96 123 138 141 39 96 103 114 119 46 140 70 97
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 64 94 40 66 111 79 101 87 79 98 99 65 70 91 202 93 134 108 89 76 123 75 107 123 54
Character e s p e e d o f a f a l l i n g o i b -b
Milliseconds 84 107 135 115 122 164 105 81 172 83 92 105 84 85 109 102 141 71 88 48 79 175 11 45 418
Character -i o -o b j e c t c h a n g e a s a f - -f
Milliseconds 133 222 365 224 238 84 82 28 75 134 52 123 90 105 77 176 102 93 106 86 115 17 469 141 61
Character f u n c t i o n o f i t m e -e -m -t -i t i m e /
Milliseconds 121 163 67 93 76 69 60 70 92 80 108 17 178 13 122 114 230 173 157 133 74 143 103 90 155
Character - -/ ? H o w d - -d d o e s t h e l e v
Milliseconds 109 325 159 208 85 209 180 92 195 9 492 158 121 152 76 126 76 47 101 35 79 54 135 53 177
Character e l o f w a t e r i n a b a r r e l c
Milliseconds 73 43 88 113 81 19 120 120 88 63 120 54 48 64 84 55 126 91 440 104 180 114 140 228 248
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 74 122 41 158 78 87 150 76 92 111 100 142 85 78 99 74 70 57 42 97 98 68 34 197 42
Character e a m o u n t o f l i q u i d o p o i -i -o
Milliseconds 141 94 143 79 125 116 64 69 144 52 132 62 104 101 221 112 75 142 104 112 3 213 10 250 157
Character -p -o p o u r e d i n t o i t ? W e s e e
Milliseconds 150 301 242 220 97 86 102 91 129 209 111 78 65 101 72 111 257 62 201 141 148 83 149 194 81
Character c h a n g e o c c u r r i n g i n n e a r l
Milliseconds 171 67 130 58 67 76 84 137 131 316 194 115 137 92 57 76 108 108 35 118 138 107 75 57 106
Character y e v e r y t h i n g w e s o -o -s o b s e r
Milliseconds 166 95 115 198 62 69 73 170 73 91 88 57 109 225 91 80 170 64 357 146 232 152 149 79 88
Character i -i v e i n t h e w o r l d a n d u n i
Milliseconds 350 517 167 72 290 93 118 99 81 104 95 87 64 151 125 128 135 91 97 56 105 19 123 54 179
Character v e r s e , a n d p o w e r f u l m o d e r
Milliseconds 102 79 50 259 63 102 57 106 78 96 75 267 52 88 42 86 190 28 94 87 215 90 118 148 95
Character n i n s t r u m e t n -n -t n t s h e l p u s
Milliseconds 41 93 90 80 64 85 156 82 202 93 152 105 340 128 179 63 33 108 97 113 115 189 244 128 99
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 92 111 75 169 76 107 79 68 76 156 94 67 110 32 111 73 66 52 151 94 191 142 101 131 79
Character i s s e c t i o n w e i n t r o d u c e t
Milliseconds 70 67 122 108 69 131 95 128 39 41 103 61 88 115 149 70 73 185 79 158 101 127 95 151 167
Character h e d i -i -d i d e a s o f a v e r a g e a
Milliseconds 54 164 198 232 64 220 135 225 67 26 141 169 219 88 107 59 278 177 135 110 230 56 72 125 73
Character n d i n s t a n t a n e o u s r a t e s o f
Milliseconds 113 78 107 152 72 117 94 125 139 155 491 127 256 141 64 96 128 228 211 111 94 67 137 56 105
Character c h a n g e , a n d s h o w t h a t t h
Milliseconds 55 189 31 149 64 144 90 34 74 114 94 80 142 401 79 94 74 161 80 103 44 93 73 99 101
Character e y a r e c l o s e l y r e a l t -t -l -a l a
Milliseconds 98 121 78 75 72 80 67 150 108 160 51 67 125 179 70 61 32 109 22 187 226 171 150 198 164
Character t e d t o t h e s l o p e o f a c u r
Milliseconds 30 194 98 149 154 34 77 74 80 102 55 123 69 213 197 103 67 151 103 53 109 79 104 110 142
Character v e a t a p o i n t P o n t h e c u
Milliseconds 187 87 114 145 56 106 99 96 94 199 52 75 46 137 201 196 209 132 95 122 74 96 94 78 107
Character r v e . W e g i v c e - -e -c e p r e c i s
Milliseconds 149 223 55 127 93 158 173 129 156 91 139 7 26 88 304 171 147 72 93 189 234 121 197 121 182
Character e d e v e l o p e m -m -e m e n t s o f t h e
Milliseconds 57 113 219 91 229 89 194 171 130 185 85 344 140 167 73 108 88 116 85 63 104 45 175 28 129
Character s e i m p o r r t -t -r t a n t c o n c e p t s
Milliseconds 97 130 134 135 100 122 68 74 153 3 384 150 67 148 137 121 70 231 74 79 62 99 77 645 95
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 97 98 67 64 106 99 92 125 82 65 111 72 87 233 59 109 84 184 143 71 57 88 195 199 98
Character f o r n o w w e u s e a n i n f o r m
Milliseconds 141 95 120 101 78 82 66 49 86 163 86 75 144 42 57 78 206 96 93 90 74 52 158 100 187
Character a l a p p r o a c h s o y o u w i l l s
Milliseconds 84 153 130 72 120 165 106 114 252 120 97 126 228 59 99 155 142 51 91 53 111 180 118 185 144
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 78 189 53 115 91 57 91 124 52 147 48 129 172 89 50 110 65 148 72 79 134 100 91 78 173
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 35 150 360 74 111 64 104 96 65 113 121 93 63 106 144 79 49 90 122 57 106 36 174 25 100
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 118 77 140 69 124 131 140 105 96 35 84 377 97 138 103 133 78 109 144 69 158 103 148 135 79
Character i d e a o f a l i m i t p l a y s a
Milliseconds 104 96 75 80 69 117 84 108 70 61 124 88 126 121 135 82 141 64 137 107 174 162 147 85 153
Character f o u n d a t i o n a l r o l e h t -t -h t h g
Milliseconds 71 99 62 94 59 167 155 82 57 84 156 109 79 87 116 174 62 111 205 42 356 141 6 231 5
Character r -r -g r o u 8 g -g -8 g h o u t c a l c u l u s .
Milliseconds 249 193 151 95 141 87 14 91 444 144 103 125 84 95 83 98 157 135 237 374 155 105 163 192 117
WPM Timing
Seconds WPM
2.23 75.31
4.46 94.13
6.69 105.79
8.92 95.48
11.15 100.05
13.39 104.89
15.62 106.81
17.85 98.84
20.08 96.23
22.31 94.13
24.54 88.02
26.77 91
29 91.03
31.23 93.75
33.46 93.95
35.69 91.11
37.92 91.76
40.16 92.64
42.39 92.29
44.62 89.56
46.85 90.93
49.08 91.93
51.31 91.21
53.54 91.89
55.77 93.17
58 93.72
60.23 92.44
62.46 92.4
64.7 92.37
66.93 93.06
69.16 93.35
71.39 93.12
73.62 93.56
75.85 93.5
78.08 92.67
80.31 92.34
82.54 92.03
84.77 91.59
87 91.58
89.24 92.12
91.47 92.62
93.7 92.72
95.93 93.2
98.16 93.52
100.39 94.07
102.62 94.37
104.85 94.65
107.08 94.58
109.31 93.31
111.54 92.95