D3LTA (d3lta)

Race #3699

View Pit Stop page for race #3699 by d3lta — Ghost race

View profile for D3LTA (d3lta)

Official speed 111.37 wpm (93.10 seconds elapsed during race)
Without ending ping 112.33 wpm (584 ms delay sending score to TypeRacer’s server)
Timerless 112.89 wpm (456 ms elapsed before first character typed; 92.06 seconds elapsed during race)
Timerless minus one 112.76 wpm, ignoring the first character typed
Race Start October 8, 2023 3:25:44pm UTC
Race Finish October 8, 2023 3:27:17pm UTC
Outcome Win (1 of 4)
Accuracy 98.8%
Points 300.70
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 qnauuantity 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 wsee change occurring in nearly everything we osbserve in the world and unvieiverse, and powerful modern instruments help us see more and more. In this section we intridoduce the ideas of average and instanteaneous 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 imnformal paapproach so you will see how they lead naturally to the main idea of this chapter, the mlilimit. 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 456 142 106 0 199 162 144 109 112 0 199 0 158 0 171 0 192 159 0 132 113 116 103 0 336
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 145 0 174 0 174 0 152 125 176 0 0 167 0 186 126 105 141 0 155 101 148 0 103 0 169
Character c h a n g e i n o n e q n a u -u -a -n u a n t
Milliseconds 0 253 127 0 165 0 169 0 0 155 117 0 175 0 91 237 120 155 258 124 130 187 0 162 0
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 171 0 207 85 172 0 157 112 133 90 99 114 0 204 0 129 94 0 232 94 138 177 126 0 169
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 0 0 159 0 164 0 169 0 0 212 135 0 163 0 217 166 0 151 151 0 183 0 0 146 152
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 95 92 111 122 0 178 203 0 76 106 0 319 0 0 184 106 129 123 0 136 0 94 0 232 0
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 154 228 0 206 184 131 0 169 0 162 0 172 0 140 0 130 191 0 164 130 102 0 0 170 111
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 192 140 135 88 0 162 114 99 152 170 0 161 0 177 0 0 168 0 187 107 0 179 0 202 0
Character l o f w a t e r i n a b a r r e l c h
Milliseconds 173 0 213 0 163 0 203 101 137 0 169 128 0 92 168 101 169 148 0 186 0 174 0 232 171
Character a n g e a s a f u n c t i o n o f t h e
Milliseconds 146 0 194 0 121 0 117 0 174 0 141 110 182 0 254 0 99 0 192 0 182 0 129 107 103
Character a m o u n t o f l i q u i d p o u r e d
Milliseconds 0 170 0 184 88 155 92 101 128 0 181 155 109 144 106 151 0 152 135 343 0 190 168 184 0
Character i n t o i t ? W e w -w s e e c h a n g e
Milliseconds 161 0 163 0 171 115 0 240 176 102 198 0 172 298 122 0 182 0 191 191 113 123 0 0 161
Character o c c u r r i n g i n n e a r l y e v e r y
Milliseconds 162 0 197 153 0 389 158 0 168 0 157 0 159 173 0 165 0 194 0 159 94 112 161 0 205
Character t h i n g w e o s $b s e r v e i n t h e
Milliseconds 156 0 176 0 0 175 107 0 166 312 146 283 229 133 177 222 0 161 138 0 160 111 150 125 0
Character w o r l d a n d u n v i e -e -i -v i v e r s e ,
Milliseconds 175 0 183 0 172 0 147 0 160 97 113 0 165 0 191 444 131 131 196 0 163 0 173 0 174
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 0 154 108 94 0 224 0 158 0 108 180 0 211 97 105 0 166 0 7 171 101 166 0 170 0
Character r u m e n t s h e l p u s s e e m o r e
Milliseconds 190 83 187 0 98 0 226 0 209 125 0 170 0 204 0 165 0 167 115 0 177 0 170 0 0
Character a n d m o r e . I n t h i s s e c t i o n
Milliseconds 141 0 171 0 148 0 0 185 0 0 224 181 0 130 113 147 0 175 0 0 237 162 102 0 167
Character w e i n t r i d -d -i o d u c e t h e i d e
Milliseconds 0 148 0 0 263 93 301 165 111 106 289 182 226 114 141 0 166 0 188 141 95 0 169 0 201
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 0 161 110 215 337 91 93 234 125 0 183 0 172 0 165 0 165 0 196 0 165 0 162 84 125
Character e $a n e o u s r a t e s o f c h a n g e ,
Milliseconds 97 656 212 293 138 0 163 0 214 0 196 0 229 0 169 104 0 152 158 103 103 0 168 0 0
Character a n d s h o w t h a t t h e y a r e c l
Milliseconds 167 0 167 0 140 164 110 0 165 0 169 124 0 162 0 197 143 0 165 0 85 175 0 150 0
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 214 0 167 0 166 0 146 0 167 0 165 0 155 100 0 169 0 0 235 109 85 106 90 176 0
Character e o f a c u r v e a t a p o i n t P
Milliseconds 166 0 197 0 167 0 154 97 151 0 220 0 165 0 119 169 0 159 126 0 180 168 0 156 140
Character o n t h e c u r v e . W e g i v e p r
Milliseconds 122 213 99 0 153 143 114 0 217 0 153 170 0 172 0 137 115 93 488 126 0 170 0 129 96
Character e c i s e d e v e l o p m e n t s o f t h e
Milliseconds 0 240 143 0 241 0 0 193 90 96 0 217 119 182 0 173 0 93 155 126 112 0 144 134 207
Character s e i m p o r t a n t c o n c e p t s i n
Milliseconds 0 167 0 189 0 234 0 0 230 0 165 0 160 95 113 0 167 0 166 0 198 0 191 0 160
Character t h e n e x t c h a p t e r , b u t f o r
Milliseconds 0 122 122 0 171 0 152 93 97 139 167 137 0 150 104 0 166 0 170 119 0 158 118 0 163
Character n o w w e u s e a n i m -m n f o r m a l
Milliseconds 0 144 0 97 0 212 0 156 378 98 0 161 107 0 171 188 0 562 172 0 173 0 175 0 191
Character p a -a -p a p p r o a c h s o y o u w i l l
Milliseconds 100 166 171 214 91 123 122 126 0 190 0 177 202 0 163 102 0 149 0 0 172 0 153 154 119
Character s e e h o w t h e y l e a d n a t u r a
Milliseconds 0 144 0 170 0 185 107 0 165 0 180 0 165 0 140 97 0 187 0 216 0 152 97 0 165
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 0 163 0 172 0 95 0 139 111 119 0 145 0 192 0 0 232 0 166 0 154 94 0 166 0
Character h i s c h a p t e r , t h e m l i -i -l -m l i
Milliseconds 176 0 179 0 164 162 138 0 167 0 156 0 98 0 209 125 0 133 127 0 350 125 85 216 128
Character m i t . T h e i d e a o f a l i m i t
Milliseconds 140 93 112 104 0 71 229 111 0 173 0 201 0 169 0 165 0 142 0 331 0 204 97 0 163
Character p l a y s a f o u n d a t i o n a l r o l e
Milliseconds 120 0 0 205 189 0 165 0 172 94 0 191 98 0 241 204 0 0 241 147 0 241 134 156 93
Character t h r o u g h o u t c a l c u l u s .
Milliseconds 104 103 157 103 0 87 177 0 0 166 0 174 0 168 0 155 97 157 125 0 179
WPM Timing
Seconds WPM
1.86 90.23
3.72 99.9
5.59 109.57
7.45 104.73
9.31 103.12
11.17 107.42
13.03 109.57
14.9 111.18
16.76 112.43
18.62 112.79
20.48 114.84
22.34 114.4
24.2 115.51
26.07 116.01
27.93 114.29
29.79 113.19
31.65 112.6
33.51 112.43
35.38 111.6
37.24 110.85
39.1 108.64
40.96 109.27
42.82 110.41
44.69 111.45
46.55 112.14
48.41 110.06
50.27 110.04
52.13 110.26
54 108.45
55.86 109.35
57.72 109.77
59.58 110.98
61.44 111.13
63.3 111.27
65.17 110.67
67.03 111
68.89 111.48
70.75 112.11
72.61 112.21
74.48 112.3
76.34 110.98
78.2 110.95
80.06 111.66
81.92 112.35
83.79 112.86
85.65 111.67
87.51 111.9
89.37 112.12
91.23 111.93
93.1 111.37