KSwizzle01 (itsmekevvv)

Race #6

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Official speed 76.47 wpm (135.58 seconds elapsed during race)
Without ending ping 76.58 wpm (196 ms delay sending score to TypeRacer’s server)
Timerless 76.71 wpm (236 ms elapsed before first character typed; 135.15 seconds elapsed during race)
Timerless minus one 76.63 wpm, ignoring the first character typed
Race Start April 5, 2024 11:35:37pm UTC
Race Finish April 5, 2024 11:37:53pm UTC
Outcome Win (1 of 3)
Accuracy 97.5%
Points 206.47
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 quanititity is related to a change in another. How does the seppeed of a falling ocbject 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 aocccuurring in nearly everything we ovbcserve in the world and universe, and powerful modern instruments help us seee more and more,. In this section we introfuduce the ideas of average and isntanaststantaneous rates of change, and show that theyt ar are clsoosely related to the slope of a curve at a point P on the curve. We give precise devfelelopments of these important concepts in the nnexext chapter., fbut for now we use an informapl approach so you will see how they alead naturally to the main idea of this chapter, the limit. The idaea ea of limia limit plays a foundational role througthouhout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 236 160 167 90 145 165 217 116 75 160 82 53 116 69 165 62 124 178 118 109 121 27 48 97 184
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 71 96 166 89 106 143 64 101 292 71 24 193 39 154 95 95 114 84 92 183 47 80 120 58 78
Character c h a n g e i n o n e q u a n i t i -i -t -i t
Milliseconds 113 111 67 87 90 70 101 157 61 136 149 74 57 87 124 129 129 109 157 55 196 240 148 132 102
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 119 73 187 347 168 107 48 396 219 313 103 88 98 182 79 105 39 131 55 106 137 76 103 72 131
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 29 104 220 60 153 39 141 98 67 154 117 33 96 134 203 136 70 160 292 163 57 104 100 199 60
Character e s e p -p -e p e e d o f a f a l l i n g
Milliseconds 90 66 110 62 33 335 127 183 58 144 129 72 121 78 138 49 102 98 76 105 119 180 53 33 105
Character o c -c b j e c t c h a n g e a s a f u n c
Milliseconds 150 228 396 488 163 108 72 217 204 604 47 449 104 80 80 150 147 79 130 104 129 337 99 65 49
Character t i o n o f t i m e ? H o w d o e s t h
Milliseconds 185 128 63 70 149 220 119 81 213 108 40 58 565 215 564 151 81 126 95 119 61 67 105 224 74
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 87 73 126 64 162 71 129 153 198 119 82 141 349 141 150 69 86 186 62 142 71 144 196 105 140
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 492 211 170 155 480 83 93 69 107 43 98 121 80 87 115 51 118 83 63 73 192 118 52 37 161
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 237 76 118 100 138 167 100 188 118 162 52 74 45 137 119 45 91 136 85 129 123 95 189 62 281
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 195 185 121 198 154 56 137 65 129 73 118 174 146 516 13338 593 211 157 66 98 136 82 205 93 38
Character n g e a -a o c c c u -u -c u r r i n g i n n e
Milliseconds 173 37 73 189 96 315 202 77 163 143 63 274 109 203 110 143 131 68 48 119 144 56 114 153 71
Character a r l y e v e r y t h i n g w e o v -v b c -c
Milliseconds 110 104 127 116 122 115 165 84 64 159 197 69 73 101 32 141 59 50 423 147 86 504 244 125 308
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 50 72 93 205 96 101 157 75 137 79 105 48 88 80 87 84 140 52 104 60 91 70 39 152 71
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 153 177 230 89 189 52 137 154 125 109 70 60 211 207 70 81 56 167 75 166 154 133 57 81 130
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 69 116 150 151 63 33 139 60 103 155 90 108 75 88 137 232 68 95 156 141 123 60 131 190 56
Character e e -e m o r e a n d m o r e , -, . I n t
Milliseconds 160 156 344 180 192 73 49 45 98 112 38 48 176 177 95 74 39 154 353 231 129 172 116 162 89
Character h i s s e c t i o n w e i n t r o f u -u -f d
Milliseconds 99 63 88 79 121 87 213 199 85 78 49 154 55 75 106 146 49 106 79 99 130 74 300 109 153
Character u c e t h e i d e a s o f a v e r a g e
Milliseconds 136 53 81 98 148 75 90 69 139 12 173 41 165 107 138 122 66 119 157 77 92 142 110 76 104
Character a n d i s n t a -a -t -n -s n a s t -t -s -a s t a n t
Milliseconds 113 119 105 47 161 50 20 159 59 283 116 144 124 329 123 44 188 181 125 112 145 69 110 148 227
Character a n e o u s r a t e s o f c h a n g e , a
Milliseconds 92 224 426 148 117 126 110 263 74 142 109 60 152 119 57 96 97 119 75 101 89 47 132 116 90
Character n d s h o w t h a t t h e y t a r -r -a - -t
Milliseconds 79 88 26 158 64 87 92 87 173 105 71 87 76 103 87 46 131 17 61 56 88 177 127 128 216
Character a r e c l s o -o -s o s e l y r e l a t e d
Milliseconds 200 65 70 96 89 119 81 148 52 348 101 683 112 51 171 142 121 166 57 114 80 71 127 144 114
Character t o t h e s l o p e o f a c u r v e a
Milliseconds 91 110 117 123 87 96 70 122 114 164 140 117 56 135 56 96 96 51 119 178 109 195 77 142 82
Character t a p o i n t P o n t h e c u r v e .
Milliseconds 260 94 143 103 151 188 164 65 96 127 180 166 142 72 129 112 112 71 56 236 132 99 273 109 104
Character W e g i v e p r e c i s e d e v f e l -l -e
Milliseconds 233 216 196 128 382 152 77 79 119 140 97 78 436 147 202 86 120 277 169 137 27 48 185 252 132
Character -f e l o p m e n t s o f t h e s e i m p o r
Milliseconds 117 155 213 154 176 133 137 88 87 93 91 130 95 113 95 79 100 143 53 120 168 65 186 173 84
Character t a n t c o n c e p t s i n t h e n n e x
Milliseconds 172 64 91 111 70 129 64 50 83 66 134 123 70 98 192 67 140 76 108 59 90 35 116 20 255
Character -x -e -n e x t c h a p t e r . -. , f -f b u t f
Milliseconds 210 127 105 111 165 201 87 131 99 109 56 372 132 80 136 315 181 170 100 266 185 87 95 100 85
Character o r n o w w e u s e a n i n f o r m a p
Milliseconds 71 101 36 164 76 71 65 218 61 145 155 52 65 106 86 59 133 236 62 142 162 70 89 110 222
Character -p l a p p r o a c h s o y o u w i l l s
Milliseconds 258 186 135 76 94 128 81 86 112 106 217 164 136 96 97 193 94 64 134 122 79 157 117 113 105
Character e e h o w t h e y a -a l e a d n a t u r a
Milliseconds 45 147 151 158 64 82 78 103 83 70 168 112 138 266 192 52 63 137 64 216 72 139 126 55 49
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 87 127 135 111 159 77 146 168 53 139 45 164 51 116 56 133 129 55 160 40 152 192 90 94 201
Character h i s c h a p t e r , t h e l i m i t . T
Milliseconds 47 65 119 64 140 84 97 66 132 176 49 97 121 138 94 89 37 168 90 77 138 235 164 162 350
Character h e i d a e a - -a -e -a e a o f l i m i -i -m
Milliseconds 183 121 64 156 76 99 100 72 132 304 172 120 153 181 74 174 143 116 123 177 96 52 144 283 117
Character -i -l a l i m i t p l a y s a f o u n d a t
Milliseconds 160 239 903 100 169 97 87 129 98 84 165 105 40 175 221 115 130 118 203 70 74 69 18 97 118
Character i o n a l r o l e t h r o u g t h o u -u -o -h -t
Milliseconds 81 71 72 92 101 154 202 99 152 65 91 102 83 75 41 66 128 13 47 107 108 180 125 133 150
Character h o u t c a l c u l u s .
Milliseconds 200 70 89 39 113 235 100 90 110 117 175 208 116 72
WPM Timing
Seconds WPM
2.71 88.51
5.42 101.78
8.13 100.31
10.85 89.61
13.56 95.59
16.27 91.46
18.98 89.14
21.69 86.85
24.4 86.05
27.12 86.29
29.83 85.69
32.54 85.93
35.25 87.83
37.96 87.24
40.67 81.72
43.39 76.61
46.1 72.11
48.81 68.1
51.52 64.52
54.23 64.61
56.94 65.33
59.66 65.78
62.37 67.34
65.08 68.59
67.79 70.1
70.5 70.81
73.21 71.3
75.93 72.23
78.64 72.48
81.35 71.25
84.06 72.66
86.77 72.88
89.48 72.55
92.2 73.54
94.91 74.09
97.62 74.12
100.33 73.56
103.04 74.18
105.75 74.89
108.47 74.46
111.18 75.02
113.89 75.23
116.6 75.95
119.31 76.44
122.02 77.2
124.74 77.35
127.45 76.27
130.16 75.88
132.87 76.77
135.58 76.47