Connor (cornermonkey)

Race #78

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Official speed 105.33 wpm (98.43 seconds elapsed during race)
Without ending ping 105.64 wpm (289 ms delay sending score to TypeRacer’s server)
Timerless 105.81 wpm (154 ms elapsed before first character typed; 97.99 seconds elapsed during race)
Timerless minus one 105.68 wpm, ignoring the first character typed
Race Start November 23, 2023 12:59:48am UTC
Race Finish November 23, 2023 1:01:26am UTC
Outcome Win (1 of 3)
Accuracy 95.7%
Points 284.40
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 Calclusuulus is a tolo thatt,oool thta helpthat thhelps us understand how a change in one quantity is related otto a change in anothre er. How does the speed of a falling object change saas a function of time ?? hHow does the level of water in a barrel changen as a aae as a function of the amount of liquid poured into it ? W? We see change pococcurinring in nearly veeryeverything we odsbserve in the world and universe, and powerful modern intsrstruments help use see more and more. I nthn this section we intrroducie the ideos as of average and instantoeaneous rates of change, and show that they are closely reltadeated to the slope of a curve at a point P on the curve. WE give We give precise developments of these important concetptspts in the next chapetter, but for now we use an iforminformal papproach so you will see how they lead naturally dto the amain ideoa of this chapter, the limit. The diideoa of a limit plpalays a foundational role throughout calculus.
Timing
Character C a l c l u s u -u -s -u -l u l u s i s a t o l
Milliseconds 154 132 228 308 173 122 90 47 263 128 119 107 168 78 94 62 100 89 61 76 62 92 33 91 77
Character o t h a t -t -h -a -t -t -o -l -o - t , o -o -, o o l t
Milliseconds 27 106 46 32 88 16 228 0 0 0 107 0 0 0 0 208 92 162 300 121 159 119 201 107 108
Character h t a h e l p -h -e -l -p -t -h -t -a - t h a t t h -h
Milliseconds 47 105 0 156 45 109 16 124 188 0 0 0 107 0 0 0 0 217 52 61 60 96 100 16 300
Character -t h e l p s u s u n d e r s t a n d h o w
Milliseconds 119 103 93 45 90 105 106 76 79 60 77 102 58 47 61 111 61 63 75 45 78 46 93 46 75
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 46 107 77 31 60 48 62 31 46 92 15 93 61 77 46 47 124 60 153 158 85 197 152 93 125
Character i s r e l a t e d o t -t -o t o a c h a n g
Milliseconds 186 94 46 166 153 76 112 55 102 80 87 77 47 417 110 140 41 78 75 123 75 30 46 64 45
Character e i n a n o t h r e - -e -r e r . H o w d
Milliseconds 17 49 93 28 90 79 73 111 0 42 121 76 120 229 123 124 82 103 48 77 139 93 46 92 46
Character o e s t h e s p e e d o f a f a l l i n
Milliseconds 48 65 28 95 60 16 46 80 44 77 125 94 82 44 97 48 60 153 141 110 89 78 107 92 31
Character g o b j e c t c h a n g e s a -a -s a s a
Milliseconds 49 59 93 92 77 123 32 122 45 93 16 65 49 43 16 76 48 85 334 126 117 65 62 92 77
Character f u n c t i o n o f t i m e ? -? - ? h -h H
Milliseconds 105 62 58 123 129 49 71 41 27 95 57 57 107 108 62 62 125 77 247 113 153 107 170 370 169
Character o w d o e s t h e l e v e l o f w a t e
Milliseconds 167 69 77 74 29 76 28 81 79 12 60 65 96 68 91 28 95 38 102 94 44 128 75 76 57
Character r i n a b a r r e l c h a n g e n a s
Milliseconds 87 28 95 64 86 68 98 61 95 50 99 68 85 47 94 12 59 65 49 15 0 66 80 0 125
Character a -a -a -s - - -n -e a a -a -a - e a s a f u n c
Milliseconds 107 147 137 0 0 380 95 138 92 171 107 50 289 123 170 62 106 123 127 75 123 132 92 71 128
Character t i o n o f t h e a m o u n t o f l i q
Milliseconds 116 45 63 46 46 74 28 80 60 28 62 58 58 44 70 62 16 30 90 75 61 89 63 104 151
Character u i d p o u r e d i n t o i t ? W -W - -?
Milliseconds 104 164 104 43 78 295 17 129 109 138 122 94 93 29 124 0 412 79 129 71 101 157 197 99 139
Character - ? W e s e e c h a n g e p o c -c -o -p o c
Milliseconds 109 182 72 171 133 287 154 76 115 91 250 33 61 59 49 15 76 171 33 262 206 124 118 146 90
Character c u r i n -n -i r i n g i n n e a r l y v e e
Milliseconds 99 139 91 77 62 250 109 155 91 47 62 47 77 61 78 108 108 62 34 90 48 60 107 0 124
Character r y -v -e -e -r -y e v e r y t h i n g w e o d s -s
Milliseconds 30 77 320 0 0 0 0 204 0 211 398 108 236 41 108 34 39 61 93 31 76 79 73 105 227
Character -d b s e r v e i n t h e w o r l d a n d
Milliseconds 111 146 85 117 71 133 16 88 80 31 102 75 30 78 44 69 81 58 64 0 63 62 64 29 44
Character u n i v e r s e , a n d p o w e r f u l m o
Milliseconds 77 95 102 326 140 103 152 86 163 85 88 80 52 53 68 93 125 75 78 124 93 46 108 46 65
Character d e r n i n t s r -r -s -t s t r u m e n t s h e
Milliseconds 90 75 46 110 45 74 46 79 62 201 233 114 124 199 47 91 80 73 79 18 43 75 92 79 78
Character l p u s e - -e s e e m o r e a n d m o
Milliseconds 46 62 60 94 77 96 0 289 110 114 92 59 121 78 122 51 60 57 63 45 30 43 64 78 14
Character r e . I n t h -h -t -n - n t h i s s e c t i
Milliseconds 88 17 173 91 156 119 15 280 67 176 108 141 91 159 104 92 0 77 46 92 62 92 74 108 45
Character o n w e i n t r -r r o d u c i -i e t h e i
Milliseconds 63 78 44 96 30 92 142 79 58 92 276 233 140 92 62 123 63 370 126 145 124 31 42 75 110
Character d e o s - -s -o a s o f a v e r a g e a n d
Milliseconds 90 73 109 44 169 224 113 122 148 110 162 186 87 75 93 108 62 93 79 107 0 92 66 26 30
Character i n s t a n t o e -e -o a n e o u s r a t e s
Milliseconds 65 107 138 46 78 136 94 62 217 61 175 122 66 103 62 116 71 135 102 104 87 63 46 74 51
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 73 177 102 84 33 77 52 31 24 149 69 101 61 31 68 69 30 78 77 60 94 31 76 48 93
Character t h e y a r e c l o s e l y r e l t a d e -e
Milliseconds 62 47 31 78 61 62 77 47 76 62 92 35 166 94 61 118 62 51 117 0 172 62 153 100 180
Character -d -a -t a t e d t o t h e s l o p e o f a
Milliseconds 269 134 118 99 97 44 71 61 72 59 94 37 13 77 70 17 159 48 58 68 88 78 102 56 92
Character c u r v e a t a p o i n t P o n t h
Milliseconds 95 41 115 31 147 86 119 99 101 67 70 130 15 105 77 61 27 36 222 100 124 98 41 122 29
Character e c u r v e . W E g i v e -g -i -v -e - -W -E -
Milliseconds 31 78 69 91 167 203 97 144 63 155 86 73 80 76 44 58 51 237 0 0 0 0 126 0 0
Character W e g i v e p r e c i s e d e v e l o p m e
Milliseconds 353 134 92 63 110 85 58 56 86 67 106 81 144 131 114 91 113 73 95 65 79 14 84 83 71
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 0 64 64 65 72 87 59 70 46 16 64 32 98 137 61 127 64 0 58 105 73 32 57 94 76
Character n c e t p t s -s -t -p -t p t s i n t h e n e x
Milliseconds 61 77 103 121 61 121 63 206 135 149 104 106 77 60 59 106 72 60 91 13 63 60 62 46 119
Character t c h a p e t -t -e t e r , b u t f o r n o
Milliseconds 123 43 141 29 47 331 200 31 267 121 138 62 78 46 62 78 78 46 92 93 124 48 76 109 75
Character w w e u s e a n i f o r m -i -f -o -r -m i n f
Milliseconds 77 80 89 61 76 81 105 31 62 79 153 172 323 154 79 92 66 294 0 0 0 0 188 75 247
Character o r m a l p -p a p p r o a c h s o y o u w
Milliseconds 154 76 78 81 167 93 106 247 60 77 107 109 62 76 78 40 71 109 75 69 99 29 109 56 90
Character i l l s e e h o w t h e y l e a d n a t
Milliseconds 88 71 104 29 115 97 141 71 82 75 59 79 74 30 46 73 53 107 33 65 62 40 105 60 120
Character u r a l l y d -d t o t h e a -a m a i n i d
Milliseconds 101 65 16 265 169 101 66 104 237 163 43 91 38 44 57 84 168 235 166 56 61 57 47 107 94
Character e o -o a o f t h i s c h a p t e r , t h e
Milliseconds 62 28 433 106 61 103 95 75 89 30 45 30 87 79 56 101 79 81 108 87 92 75 150 14 69
Character l i m i t . T h e d i -i -d i d e o -o a o f
Milliseconds 61 74 79 45 89 60 112 78 153 168 46 81 152 15 232 108 77 79 32 75 323 95 62 109 109
Character a l i m i t p l -l p a -a -p l a y s a f o
Milliseconds 55 62 122 47 123 31 107 16 125 90 48 278 307 171 183 108 155 46 69 48 88 61 93 90 97
Character u n d a t i o n a l r o l e t h r o u g h o u
Milliseconds 61 16 60 90 108 80 60 33 135 34 93 64 74 92 75 63 43 45 73 6 57 61 110 46 53
Character t c a l c u l u s .
Milliseconds 109 167 148 139 63 30 85 66 114 54 146
WPM Timing
Seconds WPM
1.97 24.38
3.94 45.72
5.91 38.6
7.87 50.29
9.84 78.02
11.81 80.26
13.78 85.34
15.75 88.38
17.72 95.5
19.69 97.53
21.66 98.08
23.62 99.56
25.59 104.09
27.56 96.66
29.53 99.97
31.5 101.72
33.47 98.96
35.44 98.88
37.4 95.28
39.37 95.7
41.34 94.92
43.31 98.08
45.28 98.85
47.25 98.29
49.22 98.99
51.19 98.7
53.15 99.79
55.12 99.27
57.09 98.16
59.06 98.54
61.03 100.48
63 102.67
64.97 101.78
66.93 102.91
68.9 103.62
70.87 102.27
72.84 103.79
74.81 103.94
76.78 104.25
78.75 104.23
80.72 103.33
82.68 103.04
84.65 104.19
86.62 104.32
88.59 104.03
90.56 105.21
92.53 104.53
94.5 104
96.46 104.74
98.43 105.33