Adrianne (mrsthornton09)

Race #44

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Official speed 90.10 wpm (115.07 seconds elapsed during race)
Without ending ping 90.23 wpm (167 ms delay sending score to TypeRacer’s server)
Timerless 90.68 wpm (565 ms elapsed before first character typed; 114.34 seconds elapsed during race)
Timerless minus one 90.57 wpm, ignoring the first character typed
Race Start May 5, 2025 2:34:52pm UTC
Race Finish May 5, 2025 2:36:47pm UTC
Outcome Win (1 of 5)
Opponents 3. touvski (79.35 wpm)
4. nbl_86 (70.42 wpm)
Accuracy 99.1%
Points 243.27
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 quanitity is related to achan change in another. How doses 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 nsee change occurinring 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 trates of change, and show that they are closely related to the slop e of a curve at a point P on the curve. We give precise developments of these important concepts in the next chapter, but tfor 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 565 282 151 200 134 199 135 133 68 81 118 99 100 84 102 115 149 167 51 99 66 85 83 34 116
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 99 84 183 83 68 65 134 100 351 198 85 149 67 166 84 87 81 133 49 84 49 100 67 100 67
Character c h a n g e i n o n e q u a n i -i t i t y
Milliseconds 165 86 99 83 133 135 66 66 84 69 197 102 117 66 281 149 404 164 250 400 134 101 133 102 165
Character i s r e l a t e d t o a c h a n -n -a -h -c c
Milliseconds 199 103 63 135 82 84 148 68 117 167 51 100 65 50 36 163 119 100 117 332 118 134 133 182 482
Character h a n g e i n a n o t h e r . H o w d o s
Milliseconds 117 101 116 134 150 84 82 101 50 103 96 67 149 50 120 66 66 99 182 106 62 118 132 100 250
Character -s e s t h e s p e e d o f a f a l l i n
Milliseconds 320 233 198 69 167 0 107 44 163 90 112 114 189 77 85 118 116 82 70 314 132 119 132 84 99
Character g o b j e c t c h a n g e a s a f u n c
Milliseconds 84 52 64 166 199 85 133 185 67 249 68 100 149 133 150 118 115 183 83 103 97 134 102 190 58
Character t i o n o f t i m e ? H o w d o e s t h
Milliseconds 168 53 80 49 83 83 117 50 135 34 82 83 298 234 233 135 148 51 183 68 121 131 115 117 65
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 85 66 116 101 165 102 99 85 133 100 49 134 82 101 166 67 83 68 82 67 83 102 180 118 103
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 197 103 83 81 299 85 66 117 100 100 198 151 183 84 103 80 101 100 199 83 184 35 69 63 84
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 66 116 50 117 37 132 16 198 251 170 96 168 83 83 67 165 17 67 117 167 117 83 265 68 199
Character o u r e d i n t o i t ? W e n -n s e e c
Milliseconds 166 118 167 232 200 68 86 80 102 82 83 150 133 333 234 233 172 111 207 292 136 83 185 81 216
Character h a n g e o c c u r i n -n -i r i n g i n n e
Milliseconds 68 117 83 117 134 99 71 132 164 183 133 117 234 315 154 166 133 65 117 49 67 85 66 198 200
Character a r l y e v e r y t h i n g w e o b s e r v
Milliseconds 105 82 181 152 82 282 183 134 84 67 132 84 100 103 81 70 146 85 82 132 145 155 70 81 234
Character e i n t h e w o r l d a n d u n i v e r
Milliseconds 99 118 83 99 67 134 49 84 66 117 86 114 67 149 84 100 66 118 0 116 169 81 84 116 103
Character s e , a n d p o w e r f u l m o d e r n i
Milliseconds 131 116 150 67 116 101 171 0 124 111 77 72 96 233 66 183 50 101 99 86 198 82 286 81 183
Character n s t r u m e n t s h e l p u s s e e m o
Milliseconds 101 149 120 164 100 200 100 86 80 150 67 100 133 84 166 84 103 131 99 166 102 198 84 136 48
Character r e a n d m o r e . I n t h i s s e c t
Milliseconds 100 366 135 98 96 106 32 199 100 66 67 185 116 332 317 104 117 83 84 101 64 133 84 231 184
Character i o n w e i n t r o d u c e t h e i d e a
Milliseconds 118 65 83 67 332 85 116 152 65 234 166 150 134 116 119 100 115 99 68 82 51 86 101 150 96
Character s o f a v e r a g e a n d i n s t a n t a
Milliseconds 182 68 83 117 66 70 230 185 66 117 150 85 98 100 103 63 68 83 83 132 85 118 115 149 685
Character n e o u s t -t r a t e s o f c h a n g e ,
Milliseconds 166 218 182 86 165 69 264 248 101 101 116 100 182 71 65 98 84 133 117 52 147 166 122 97 66
Character a n d s h o w t h a t t h e y a r e c l
Milliseconds 69 115 49 51 382 67 67 101 99 134 87 95 68 99 149 102 99 70 64 67 116 70 64 154 97
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 164 17 85 149 121 64 132 71 98 115 82 149 201 84 33 100 68 198 68 85 67 115 66 166 151
Character - e o f a c u r v e a t a p o i n t
Milliseconds 132 333 168 66 104 129 67 88 96 86 114 116 268 283 100 116 150 118 349 100 284 166 140 60 100
Character P o n t h e c u r v e . W e g i v e
Milliseconds 103 764 116 184 104 49 114 66 117 50 165 86 116 315 35 234 132 315 426 128 280 85 149 67 67
Character p r e c i s e d e v e l o p m e n t s o f t
Milliseconds 452 100 100 231 151 165 84 168 332 168 181 101 67 166 168 132 117 87 81 166 133 201 118 81 118
Character h e s e i m p o r t a n t c o n c e p t s i
Milliseconds 66 117 183 83 147 187 83 117 181 85 150 116 118 149 85 247 68 84 132 101 166 351 550 83 133
Character n t h e n e x t c h a p t e r , b u t t
Milliseconds 86 64 66 84 52 98 103 98 199 183 84 199 83 100 101 182 184 67 135 33 316 67 133 83 133
Character -t f o r n o w w e u s e a n i n f o r m
Milliseconds 366 185 100 83 103 365 65 118 82 268 99 134 518 265 234 133 183 83 68 119 99 120 94 117 133
Character a l a p p r o a c h s o y o u w i l l s
Milliseconds 88 179 87 147 117 133 67 116 117 217 133 49 251 66 68 132 70 63 50 84 83 168 115 67 100
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 67 165 85 299 84 135 33 117 98 133 67 70 147 167 134 399 117 301 53 166 198 182 83 135 135
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 84 63 167 67 50 116 83 101 66 100 117 83 66 51 100 148 151 85 69 97 116 70 97 83 53
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 97 101 181 120 84 114 152 148 68 83 83 149 85 99 67 133 150 101 119 113 201 85 264 51 84
Character i d e a o f a l i m i t p l a y s a
Milliseconds 33 84 150 198 84 83 83 119 64 67 100 66 121 129 118 88 163 186 130 84 2299 219 81 136 48
Character f o u n d a t i o n a l r o l e t h r o u g h
Milliseconds 100 100 50 150 103 280 150 84 83 84 216 117 83 166 101 182 72 113 166 118 164 217 69 166 132
Character o u t c a l c u l u s .
Milliseconds 133 87 164 103 365 150 133 115 69 181 134 382 135
WPM Timing
Seconds WPM
2.3 67.78
4.6 88.64
6.9 97.33
9.21 88.64
11.51 91.77
13.81 81.69
16.11 84.92
18.41 86.03
20.71 86.9
23.01 89.16
25.32 89.59
27.62 92.12
29.92 92.25
32.22 93.48
34.52 93.51
36.82 91.57
39.12 91.09
41.43 90.38
43.73 90.84
46.03 92.55
48.33 93.36
50.63 93.38
52.93 93.4
55.23 93.42
57.54 93.02
59.84 93.65
62.14 93.27
64.44 92.74
66.74 93.49
69.04 94.2
71.34 94.19
73.65 93.53
75.95 93.22
78.25 92.32
80.55 91.62
82.85 91.68
85.15 91.46
87.45 91.52
89.76 91.05
92.06 90.2
94.36 90.42
96.66 91
98.96 90.58
101.26 91.37
103.56 91.88
105.87 92.27
108.17 91.08
110.47 90.49
112.77 90.56
115.07 90.1