Putu (boostedwrx)

Race #9996

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Official speed 107.72 wpm (96.25 seconds elapsed during race)
Without ending ping 108.02 wpm (264 ms delay sending score to TypeRacer’s server)
Timerless 108.48 wpm (414 ms elapsed before first character typed; 95.57 seconds elapsed during race)
Timerless minus one 108.36 wpm, ignoring the first character typed
Race Start September 27, 2023 7:54:54am UTC
Race Finish September 27, 2023 7:56:30am UTC
Outcome Win (1 of 5)
Opponents 2. clergy (106.34 wpm)
Accuracy 98.5%
Points 290.85
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 quantity ie es related to a change in another. How does the epspeed 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 mamount of liquid poured into it? We see change occurring in nearly everythingw we observe in the world and universe, and powerful modern inttrumstruments help us see more and more. In this seactionction we introduce the ideas of eaverage 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 teheshese important concepts in the next chapter, but for now we use inan informal approach so you will asesee how they lead naturally to the main idea of this chapter, the limit. THe ideaThe idea of a limit plays a fouindandational role throughout caulculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 414 76 57 98 102 133 67 67 49 103 133 47 84 133 50 102 115 135 48 182 56 81 64 67 99
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 72 73 139 66 52 95 86 67 111 44 20 113 70 143 58 95 32 83 54 80 47 88 56 120 72
Character c h a n g e i n o n e q u a n t i t y i e
Milliseconds 134 64 5 128 51 65 54 98 65 67 100 50 54 74 138 84 100 66 83 84 50 129 87 76 58
Character e -e - -e s r e l a t e d t o a c h a n g
Milliseconds 124 64 305 135 138 38 87 93 44 122 34 51 81 117 85 84 48 68 303 272 128 71 59 102 31
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 50 78 56 56 64 80 66 50 84 53 63 61 87 56 192 128 88 115 56 45 55 167 53 101 49
Character e e p -p -e s p e e d o f a f a l l i n g
Milliseconds 64 83 200 184 282 135 135 97 66 135 33 135 48 86 117 66 78 304 50 83 117 150 49 17 93
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 74 100 150 12 54 166 68 118 52 85 78 42 80 112 52 99 98 50 100 67 352 165 67 169 30
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 84 85 65 78 158 197 86 81 33 54 213 86 166 148 66 101 100 33 85 148 52 116 32 66 67
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 84 49 86 81 76 74 100 52 99 116 133 52 114 67 53 81 52 81 50 101 82 53 64 133 69
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 99 33 102 48 76 76 48 68 50 133 66 83 102 64 67 102 148 55 178 15 85 86 48 100 68
Character t h e m -m a m o u n t o f l i q u i d p
Milliseconds 82 100 17 83 67 67 271 130 32 118 67 164 34 102 49 52 84 129 76 74 150 4 102 128 176
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 73 217 66 67 119 48 66 67 100 17 83 101 84 182 100 200 233 102 121 144 151 59 163 94 84
Character n g e o c c u r r i n g i n n e a r l y e
Milliseconds 68 32 83 67 66 202 132 100 102 131 100 50 127 89 110 57 47 154 49 67 50 80 120 53 116
Character v e r y t h i n g w - -w w e o b s e r v e
Milliseconds 81 117 68 82 83 67 67 84 17 182 151 334 325 123 118 32 117 134 150 139 28 69 165 51 64
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 88 47 82 53 47 42 91 86 48 83 92 91 52 198 67 66 34 166 67 117 100 118 84 128 70
Character , a n d p o w e r f u l m o d e r n i n t
Milliseconds 17 49 100 53 31 135 66 66 35 15 147 184 40 144 49 119 56 65 135 79 49 216 241 75 116
Character -t t r u m -m -u -r -t s t r u m e n t s h e l p u
Milliseconds 527 193 168 104 168 341 163 200 636 134 201 125 74 184 67 66 100 100 134 349 118 66 134 66 135
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 82 52 165 149 134 34 99 33 34 67 67 100 33 66 69 64 63 54 68 133 100 233 300 115 170
Character h i s s e a c -c t i o n -n -o -i -t -a c t i o n w
Milliseconds 49 65 69 130 638 180 67 82 518 116 66 67 133 284 131 153 135 164 532 192 62 35 129 68 165
Character e i n t r o d u c e t h e i d e a s o f
Milliseconds 68 100 134 65 53 113 67 136 98 107 60 101 84 83 32 89 262 100 45 88 100 133 134 66 67
Character e -e a v e r a g e a n d i n s t a n t a n e o
Milliseconds 233 467 333 84 117 215 43 125 75 141 85 65 66 85 319 79 52 85 100 248 116 301 215 168 149
Character u s r a t e s o f c h a n g e , a n d s
Milliseconds 85 72 76 68 54 83 48 164 34 83 300 133 67 84 150 17 66 84 66 50 70 65 31 117 20
Character h o w t h a t t h e y a r e c l o s e l y
Milliseconds 97 67 33 100 55 95 19 82 68 80 52 68 81 52 31 67 83 34 151 69 162 18 68 81 134
Character r e l a t e d t o t h e s l o p e o f
Milliseconds 546 87 55 96 49 39 78 83 71 115 15 70 96 19 82 99 151 2 148 133 100 52 83 52 63
Character a c u r v e a t a p o i n t P o n t
Milliseconds 33 83 69 117 58 189 53 95 219 84 52 83 65 95 55 35 164 60 111 180 116 100 84 67 99
Character h e c u r v e . W e g i v e p r e c i s e
Milliseconds 34 51 99 114 85 101 199 67 69 64 192 222 137 66 51 118 30 102 51 83 65 185 98 300 67
Character d e v e l o p m e n t s o f t e h e s -s -e -h
Milliseconds 353 98 32 167 62 54 139 31 170 54 73 100 59 56 102 53 63 120 63 5 99 30 401 166 151
Character -e h e s e i m p o r t a n t c o n c e p t s
Milliseconds 199 150 54 96 83 167 200 67 134 50 66 802 199 123 128 167 84 197 67 169 181 167 100 67 70
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 113 52 64 54 80 17 84 132 84 149 69 82 167 66 67 65 151 117 68 32 51 148 52 32 125
Character f o r n o w w e u s e i n -n -i a n i n f
Milliseconds 42 94 89 33 85 32 72 80 120 80 32 113 53 52 78 70 52 298 584 133 116 70 99 50 64
Character o r m a l a p p r o a c h s o y o u w i l
Milliseconds 70 98 33 84 116 84 166 118 98 86 82 45 121 104 95 101 69 64 100 52 32 66 101 96 153
Character l a s e -e -s -a s e e h o w t h e y l e a d
Milliseconds 136 15 64 35 172 320 158 122 64 145 143 32 96 32 87 64 83 16 100 35 66 152 14 66 67
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 35 67 39 77 115 52 65 112 121 34 116 50 33 70 169 62 73 56 58 79 71 377 185 117 83
Character e a o f t h i s c h a p t e r , t h e l
Milliseconds 52 100 98 68 82 50 117 32 52 36 114 67 83 83 68 67 98 68 49 46 123 48 51 74 91
Character i m i t . T H e i d e a -T -H -e - -i -d -e -a T h e
Milliseconds 54 152 78 50 152 55 126 53 80 69 57 71 65 48 455 0 0 0 0 0 0 0 272 249 78
Character i d e a o f a l i m i t p l a y s a
Milliseconds 96 169 72 56 56 103 33 84 83 4 110 87 65 200 38 47 152 99 31 33 34 167 151 66 100
Character f o u i n d a -a -d -n -i n d a t i o n a l r o l e
Milliseconds 68 67 48 18 134 65 83 310 272 232 220 150 52 98 201 65 46 97 74 67 216 168 43 207 58
Character t h r o u g h o u t c a u -u l c u l u s .
Milliseconds 108 67 101 65 83 67 33 100 118 49 53 81 100 66 100 417 197 121 73 168 95 113 103
WPM Timing
Seconds WPM
1.92 105.97
3.85 124.68
5.77 137.14
7.7 126.23
9.62 125.92
11.55 125.71
13.47 119.33
15.4 123.12
17.32 121.21
19.25 122.18
21.17 124.68
23.1 127.27
25.02 125.64
26.95 124.68
28.87 123.84
30.8 125.46
32.72 121.38
34.65 122.6
36.57 124.02
38.5 119.38
40.42 114.88
42.35 114.19
44.27 114.65
46.2 111.69
48.12 107.47
50.05 108.61
51.97 106.67
53.9 106.64
55.82 106.4
57.75 108.05
59.67 108.19
61.6 109.87
63.52 110.13
65.45 110.56
67.37 110.07
69.3 108.75
71.22 107.66
73.15 107.78
75.07 108.53
77 107.84
78.92 108.41
80.85 107.76
82.77 109.02
84.7 109.23
86.62 110.27
88.55 108.68
90.47 109.56
92.4 108.05
94.32 108.52
96.25 107.72