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Race #5484

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Official speed 111.77 wpm (92.76 seconds elapsed during race)
Without ending ping 112.29 wpm (324 ms delay sending score to TypeRacer’s server)
Timerless 112.72 wpm (355 ms elapsed before first character typed; 92.08 seconds elapsed during race)
Timerless minus one 112.59 wpm, ignoring the first character typed
Race Start March 31, 2024 9:46:52pm UTC
Race Finish March 31, 2024 9:48:25pm UTC
Outcome No win (3 of 5)
Opponents 2. arkosammy_1208 (126.69 wpm)
4. montedeu (105.91 wpm)
5. xyxyxyx (97.47 wpm)
Accuracy 97.3%
Points 301.78
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 chance ige in one quantity is related to a chancege in another. How does the speed of a falling object change asa a function of time? How does the level of water in a barrel change as a functino oo n of the amount o flf liquid poured inotto it? We see change occurring in nearly everything ew we observe in tehe h ewoe world and univeres,sse, and powerful modern instruments help us see more and more . nIn this section we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the sloep pe of ca ca curve at a point P on the curve. We give precise eddevelopments of these important concepts in the next chapter, but for now we use an informa ll approach so you will se ee how they lead naturally to the main idea of this chapter, the limit. The ideao fa 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 355 233 100 62 139 128 166 104 102 94 67 71 92 73 48 88 129 136 46 67 87 50 47 53 66
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 126 58 129 105 77 39 147 88 96 134 48 118 50 136 65 84 84 65 78 57 82 45 74 80 116
Character c h a n c e i -i - -e -c g e i n o n e q u a
Milliseconds 65 100 87 81 52 66 96 55 330 138 151 125 74 79 71 48 80 86 115 120 17 94 200 88 99
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 119 96 95 55 115 86 34 84 94 71 253 162 65 99 100 102 69 86 63 34 84 98 53 99 85
Character n c e -e -c g e i n a n o t h e r . H o w d
Milliseconds 99 33 84 184 145 47 104 53 67 82 79 89 65 68 82 81 36 52 79 86 112 105 185 80 141
Character o e s t h e s p e e d o f a f a l l i n
Milliseconds 44 82 66 51 84 99 29 66 88 50 84 116 113 102 115 48 84 218 121 93 56 112 166 115 120
Character g o b j e c t c h a n g e a s a - -a a
Milliseconds 20 63 66 134 85 131 89 132 65 140 89 84 101 65 120 30 96 122 217 87 349 99 51 31 118
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 52 116 206 0 168 93 50 146 166 101 102 63 65 79 60 34 229 102 168 111 104 97 64 75 83
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 67 50 98 83 61 57 232 52 123 94 83 29 148 55 66 52 94 102 113 40 34 100 81 35 45
Character b a r r e l c h a n g e a s a f u n c t
Milliseconds 105 96 88 78 104 81 98 54 49 98 75 73 56 92 99 75 170 0 126 70 145 119 138 48 115
Character i n o o -o - -o -n o - n o f t h e a m o u
Milliseconds 46 103 33 36 181 215 133 143 137 130 146 296 149 64 72 85 62 65 39 66 84 95 72 65 135
Character n t o f l -l -f - f l i q u i d p o u r e d
Milliseconds 145 48 104 68 115 29 140 312 136 136 74 42 150 118 146 102 112 104 110 389 116 126 76 98 101
Character i n o t -t -o t o i t ? W e s e e c h a n
Milliseconds 95 57 80 119 111 222 88 62 117 98 132 85 207 125 46 184 251 100 195 137 87 77 49 105 47
Character g e o c c u r r i n g i n n e a r l y e v
Milliseconds 73 95 19 83 62 132 83 88 116 36 83 59 86 37 84 65 106 47 65 62 155 30 74 144 149
Character e r y t h i n g e w - -w -e w e o b s e r v e
Milliseconds 102 49 100 64 141 46 132 94 75 129 0 174 276 124 127 35 68 27 116 134 68 39 66 141 104
Character i n t e h e - -e -h $h e w o -o -w -e - e w o
Milliseconds 55 81 64 48 33 186 0 149 59 172 124 148 161 88 21 166 126 271 107 127 127 51 39 65 51
Character r l d a n d u n i v e r e s , -, -s s -s -e s e ,
Milliseconds 116 35 102 59 117 86 96 73 45 139 94 74 128 88 96 30 156 214 136 148 164 117 69 52 96
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 19 102 113 89 94 62 124 66 34 84 114 71 111 85 84 100 34 115 53 108 0 173 93 40 64
Character r u m e n t s h e l p u s s e e m o r e
Milliseconds 91 80 162 53 99 34 84 30 104 170 64 180 42 155 39 83 63 117 118 63 100 53 70 65 82
Character a n d m o r e - . n -n I n t h i s s e c
Milliseconds 49 89 80 50 69 66 75 40 164 269 179 53 347 246 187 104 116 81 53 67 66 35 99 94 121
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 163 36 33 70 36 63 63 81 120 47 58 100 101 95 102 52 126 41 96 79 55 52 131 96 205
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 79 70 168 130 70 48 137 140 121 72 82 108 92 65 93 135 55 52 82 99 68 123 61 142 75
Character a n e o u s r a t e s o f c h a n g e , a
Milliseconds 148 259 118 122 104 126 153 153 93 90 96 79 57 114 53 65 102 82 62 88 67 81 135 62 74
Character n d s h o w t h a t t h e y a r e c l o
Milliseconds 81 63 56 63 46 74 63 52 77 84 68 73 82 61 72 63 122 25 73 61 87 68 69 80 126
Character s e l y r e l a t e d t o t h e s l o e p
Milliseconds 58 49 104 58 69 126 108 150 122 81 116 129 67 71 76 53 66 99 55 51 76 74 153 182 45
Character - -p -e p e o f c a c -c - -a -c a c u r v e
Milliseconds 69 332 131 135 171 78 69 98 68 69 94 34 103 65 231 140 133 141 54 0 87 167 97 149 94
Character a t a p o i n t P o n t h e c u r v
Milliseconds 75 84 50 84 84 97 99 69 114 79 91 93 222 83 216 62 25 96 81 50 52 87 99 50 149
Character e . W e g i v e p r e c i s e e d -d -e d e
Milliseconds 63 97 41 149 164 66 100 97 75 92 56 143 20 101 135 132 103 60 74 297 130 314 107 47 109
Character v e l o p m e n t s o f t h e s e i m p o r
Milliseconds 114 88 57 152 111 288 83 151 166 118 111 135 67 36 78 95 96 485 45 79 185 71 128 85 70
Character t a n t c o n c e p t s i n t h e n e x t
Milliseconds 113 87 47 68 67 83 52 50 49 97 69 84 83 53 58 107 63 75 88 52 33 88 65 215 135
Character c h a p t e r , b u t f o r n o w w e
Milliseconds 50 111 88 80 120 69 131 49 88 48 99 82 83 47 89 33 98 51 74 61 44 55 97 64 49
Character u s e a n i n f o r m a l -l - l a p p r o
Milliseconds 131 36 90 44 105 52 74 91 85 49 101 65 130 154 44 89 249 100 176 53 103 86 163 47 104
Character a c h s o y o u w i l l s e e -e - e h
Milliseconds 126 58 98 50 68 49 62 92 92 73 51 59 83 77 178 62 51 72 96 34 211 138 66 66 98
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 42 176 73 93 32 107 48 45 92 77 65 60 89 93 28 154 332 68 305 70 146 28 75 90 0
Character t h e m a i n i d e a o f t h i s c h
Milliseconds 75 59 26 105 66 21 173 72 81 22 127 56 112 69 0 148 69 70 127 54 62 84 72 65 75
Character a p t e r , t h e l i m i t . T h e i d e
Milliseconds 91 49 88 112 50 194 74 80 65 53 69 18 150 95 132 65 136 49 108 147 45 67 64 75 148
Character a o f a -a -f - -o o f a l i m i t p l a y
Milliseconds 33 131 11 110 151 202 106 140 133 289 123 83 67 37 85 92 76 109 138 246 48 122 153 45 66
Character s a f o u n d a t i o n a l r o l e t h r
Milliseconds 120 49 87 77 68 87 109 136 37 69 377 72 125 23 132 196 153 98 69 132 51 37 79 31 98
Character o u g h o u t c a l c u l u s .
Milliseconds 69 87 100 61 91 95 39 50 129 104 77 91 61 84 214 98 66
WPM Timing
Seconds WPM
1.86 97.02
3.71 116.43
5.57 116.43
7.42 109.96
9.28 113.84
11.13 115.35
12.99 117.35
14.84 117.24
16.7 113.55
18.55 113.84
20.41 115.25
22.26 118.58
24.12 116.92
25.97 113.66
27.83 110.82
29.68 109.55
31.54 107.3
33.39 109.6
35.25 109.96
37.1 109.64
38.96 104.72
40.82 105.25
42.67 104.9
44.53 106.46
46.38 108.15
48.24 105.98
50.09 107.8
51.95 108.11
53.8 108.17
55.66 108.88
57.51 110.79
59.37 111.78
61.22 109.96
63.08 109.2
64.93 109.59
66.79 109.96
68.64 108.56
70.5 108.26
72.35 109.63
74.21 110.28
76.06 110.91
77.92 111.19
79.78 111.16
81.63 111.28
83.49 112.4
85.34 112.91
87.2 111.61
89.05 111.85
90.91 111.81
92.76 111.77