Jenna (trishz_me)

Race #616

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Official speed 91.97 wpm (112.73 seconds elapsed during race)
Without ending ping 92.53 wpm (682 ms delay sending score to TypeRacer’s server)
Timerless 93.65 wpm (1,337 ms elapsed before first character typed; 110.71 seconds elapsed during race)
Timerless minus one 93.54 wpm, ignoring the first character typed
Race Start November 3, 2023 6:27:02pm UTC
Race Finish November 3, 2023 6:28:55pm UTC
Outcome Win (1 of 2)
Accuracy 96.8%
Points 248.32
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 udnersndestandndewstanderstand how a change in one quantity is related to a change in another,. . HJow 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 liqiuduid piuoured into it:? We see change occurring in nearly everuthything we obsreerve in the world and universe, and powerful modern isntrumenstruments help us see more and more. IN tn this section we introduce the idfeaeas of average an innd instanteaneous rates of change, an shownd show that they are closely related to the slope of a curve oat a pontiint P on the curve. WE e give precise developments of these important cenooncepits in the next chapter, but for now we ue esse an informal apporach pproach so you will see how theyl eadhey lead naturally tot he ho the main idea of this caahapter, the limit. The idea of a limit plays a foundational role throughout calculu.ss.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 1337 241 256 159 144 240 166 91 1131 117 66 125 66 95 65 73 157 413 93 98 93 32 66 98 101
Character e l p s u s u d n e r s -s -r -e -n -d n d e s t a
Milliseconds 55 66 63 128 78 163 80 99 125 162 0 64 95 96 224 131 133 129 118 143 60 67 178 98 63
Character n d -n -d -e -s -t -a -n -d n d e w s t a -n -d -e -w -s -t -a n
Milliseconds 65 94 879 0 0 0 0 0 0 0 146 32 67 11 146 128 81 851 0 0 0 0 0 0 142
Character d e r s t a n d h o w a c h a n g e i n
Milliseconds 51 94 96 126 135 60 97 66 119 33 97 65 95 72 70 53 107 20 127 31 65 47 124 85 65
Character o n e q u a n t i t y i s r e l a t e d t
Milliseconds 96 110 31 124 61 102 82 67 107 84 109 51 77 131 79 98 66 94 63 129 30 74 155 60 95
Character o a c h a n g e i n a n o t h e r , . -
Milliseconds 66 127 32 127 33 130 31 128 30 64 34 135 68 61 55 63 134 65 58 77 57 75 0 178 254
Character -. -, . H J -J o w d o e s t h e s p e e d
Milliseconds 135 154 319 192 232 0 440 736 96 78 85 94 68 60 44 86 96 65 73 84 82 82 156 161 0
Character o f a f a l l i n g o b j e c t c h a n g
Milliseconds 160 69 105 115 63 65 65 75 179 159 67 64 68 315 94 96 65 74 53 112 186 87 46 113 66
Character e a s a f u n c t i o n o f t i m e ?
Milliseconds 63 65 199 80 66 102 89 79 88 151 17 50 106 130 28 89 95 65 108 85 71 150 33 142 194
Character H o w d o e s t h e l e v e l o f w a t
Milliseconds 208 139 117 96 101 92 64 96 30 66 96 64 96 143 48 104 61 95 30 133 70 84 63 63 65
Character e r i n a b a r r e l c h a n g e a s
Milliseconds 96 71 31 153 100 61 41 132 115 33 106 214 63 77 63 87 62 36 132 23 78 84 66 76 64
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 80 74 126 90 142 80 66 45 145 41 88 66 62 121 65 95 30 165 62 95 97 126 34 64 96
Character o f l i q i u d -d -u -i u i d p i u -u -i o u r e
Milliseconds 137 67 85 160 159 33 126 167 124 201 136 121 213 130 30 127 135 97 152 256 151 98 160 43 65
Character d i n t o i t : -: ? W e s e e c h a n g
Milliseconds 115 39 120 76 54 101 92 138 85 131 357 151 224 257 352 235 88 61 164 124 68 98 9 146 32
Character e o c c u r r i n g i n n e a r l y e v e
Milliseconds 63 64 207 65 160 96 77 156 61 153 47 86 158 65 64 127 78 50 38 60 126 43 91 102 91
Character r u t h -h -t -u y t h i n g w e o b s r e -e -r e
Milliseconds 57 98 71 87 291 157 128 108 116 76 84 64 62 130 74 37 114 159 32 96 65 0 332 147 261
Character r v e i n t h e w o r l d a n d u n i v
Milliseconds 59 161 79 177 174 114 193 160 139 63 117 65 76 84 97 64 95 170 85 95 67 159 138 142 66
Character e r s e , a n d p o w e r f u l m o d e r n
Milliseconds 38 55 129 68 102 163 60 122 41 94 151 73 34 151 41 183 31 135 56 128 94 65 170 34 85
Character i s n t r u m e -e -m -u -s -n -t -r n s t r u m e n t
Milliseconds 45 114 135 26 65 31 75 149 66 198 152 133 291 0 0 0 166 50 65 34 63 133 60 102 54
Character s h e l p u s s e e m o r e a n d m o
Milliseconds 66 65 127 71 33 96 153 127 77 129 129 85 155 119 170 65 36 101 53 67 97 31 157 141 86
Character r e . I N t -t - -N n t h i s s e c t i o n
Milliseconds 95 32 63 531 172 130 192 78 246 156 128 65 128 96 39 56 111 49 291 128 128 36 65 152 72
Character w e i n t r o d u c e t h e i d f e a -a -e
Milliseconds 72 125 52 77 210 112 31 65 54 94 70 55 110 61 116 65 96 65 128 64 14 49 66 318 133
Character -f e a s o f a v e r a g e a n i n -n -n - -i
Milliseconds 156 256 96 96 70 155 70 92 126 129 127 63 65 95 68 32 99 66 157 158 97 227 306 0 0
Character n d i n s t a n t e -e a n e o u s r a t e s
Milliseconds 95 96 81 116 90 41 89 99 34 66 120 352 97 68 219 141 99 62 124 120 74 125 31 90 64
Character o f c h a n g e , a n s h o w -n - -s -h -o -w n
Milliseconds 136 311 129 101 121 32 148 48 61 64 161 41 87 165 68 31 91 92 463 0 0 0 0 0 81
Character d s h o w t h a t t h e y a r e c l o s
Milliseconds 97 66 287 32 65 126 33 95 97 32 66 96 95 95 69 94 62 63 44 56 93 76 124 156 28
Character e l y r e l a t e d t o t h e s l o p e
Milliseconds 36 124 65 126 68 60 72 68 20 78 153 56 135 41 147 66 98 59 134 10 151 154 126 65 64
Character o f a c u r v e o -o a t a p o n t i -i -t
Milliseconds 98 191 190 96 66 141 98 49 162 62 32 321 225 67 30 75 82 66 151 94 97 65 35 331 144
Character -n i n t P o n t h e c u r v e . W E -
Milliseconds 131 166 92 29 64 224 192 161 100 165 68 115 127 7 600 98 65 109 57 88 160 590 84 172 244
Character -E e g i v e p r e c i s e d e v e l o p m e
Milliseconds 139 85 95 66 105 85 31 77 148 33 76 83 161 47 83 62 160 68 129 59 65 160 159 168 89
Character n t s o f t h e s e i m p o r t a n t c e
Milliseconds 95 69 123 97 143 95 49 112 65 64 78 113 64 159 161 131 102 68 84 95 49 65 126 80 97
Character n -n o -o -e o n c e p i -i t s i n t h e n e x
Milliseconds 65 174 126 210 191 195 167 56 64 45 220 368 94 98 98 130 96 63 198 88 103 57 127 46 53
Character t c h a p t e r , b u t f o r n o w w e
Milliseconds 65 40 148 74 23 136 55 97 65 32 159 64 110 82 73 91 62 94 65 143 111 81 83 100 40
Character u e - -e e s -s -e s e a n i n f o r m a l
Milliseconds 50 192 256 261 256 153 75 183 96 140 84 34 95 96 67 126 126 97 36 107 82 10 190 29 165
Character a p p o r a c h -p -p -o -r -a -c -h - p p r o a c h
Milliseconds 188 89 126 133 36 121 0 97 95 453 0 0 0 0 0 0 0 71 147 98 73 32 117 65 47
Character s o y o u w i l l s e e h o w t h e y l
Milliseconds 146 45 145 32 140 88 64 72 87 160 127 32 159 130 170 54 133 64 88 66 66 94 77 83 194
Character e a d -h -e -y -l - -e -a -d h e y l e a d n a t u
Milliseconds 8 87 78 113 481 0 0 0 0 0 0 0 75 116 45 115 64 64 65 109 52 132 63 37 87
Character r a l l y t o t h e -o -t - -h -e - h -h o t h
Milliseconds 95 67 67 127 91 114 286 86 189 0 162 62 101 349 0 0 0 0 0 95 350 128 128 66 112
Character e m a i n i d e a o f t h i s c a -a a -a
Milliseconds 79 95 128 67 72 87 63 95 96 65 39 68 129 53 143 81 62 66 95 73 155 200 481 276 286
Character h a p t e r , t h e l i m i t . T h e i d
Milliseconds 108 84 65 96 129 63 65 141 114 43 149 34 159 141 58 100 149 33 166 123 128 93 104 166 64
Character e a o f a l i m i t p l a y s a f o u
Milliseconds 62 56 64 126 67 71 86 95 164 156 162 128 62 99 73 149 14 116 94 132 94 96 126 65 137
Character n d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 133 28 60 36 120 124 65 66 64 106 70 79 130 41 130 90 56 139 67 52 95 75 125 187 75
Character c a l c u l u . s -s -. s .
Milliseconds 91 95 70 54 158 29 164 136 184 11 484 118 65 11
WPM Timing
Seconds WPM
2.25 26.61
4.51 42.58
6.76 60.32
9.02 45.24
11.27 41.51
13.53 60.32
15.78 72.99
18.04 71.85
20.29 72.74
22.55 76.64
24.8 82.25
27.06 85.16
29.31 89.66
31.57 93.52
33.82 91.9
36.07 91.81
38.33 90.17
40.58 92.25
42.84 91.88
45.09 90.48
47.35 92.25
49.6 92.42
51.86 92.56
54.11 92.92
56.37 91.54
58.62 93.14
60.88 92.85
63.13 91.43
65.38 91.95
67.64 91.37
69.89 93.23
72.15 93.97
74.4 92.74
76.66 92.67
78.91 92
81.17 92.7
83.42 92.64
85.68 92.02
87.93 93.48
90.19 92.34
92.44 91.52
94.7 92.25
96.95 91.72
99.2 91.21
101.46 91.54
103.71 90.94
105.97 91.39
108.22 91.92
110.48 92.87
112.73 91.97