Krishna (krishna2002)

Race #1352

View Pit Stop page for race #1352 by krishna2002 — Ghost race

View profile for Krishna (krishna2002)

Official speed 70.35 wpm (147.38 seconds elapsed during race)
Without ending ping 70.45 wpm (216 ms delay sending score to TypeRacer’s server)
Timerless 70.93 wpm (986 ms elapsed before first character typed; 146.18 seconds elapsed during race)
Timerless minus one 70.85 wpm, ignoring the first character typed
Race Start October 10, 2023 7:22:54am UTC
Race Finish October 10, 2023 7:25:21am UTC
Outcome Win (1 of 4)
Accuracy 96.0%
Points 189.94
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 tootl that helps us understand how c a change in one quantiyty is related to a chang e in another. How does the speed of a falling object change as a function of time? How does the level of water in a batrrel change as a function o ff the amount of liquid pureoured ofinto it'? We ssee chancge occuriring in nreaearly everything we obsevrve in the world an d unvieiverse, and powerful modenrrn instruments hlelp us eseem more and ommrmore. In this section wei introduce the ideas of average and instantaneous rates of chang,e, and show that thye ey are closely related to the slope of a curv e ta at a point P on the curve. WE e giv e precise developments of these important concepts in the nesxt chaprter, but for now we use an informal paapproach so you will see how they lad ead naturally to the main idea of this chapter, the limit. The idea oa fa a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o t -t l t h a t
Milliseconds 986 116 150 67 162 721 293 201 129 192 133 114 150 121 150 95 122 211 299 213 187 53 127 42 112
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 68 166 88 141 142 98 116 151 169 117 184 84 64 197 315 163 206 149 144 109 112 147 103 93 110
Character c - -c a c h a n g e i n o n e q u a n t
Milliseconds 145 322 264 161 103 121 143 60 67 131 59 201 87 182 55 179 155 117 68 124 102 87 135 91 193
Character i y -y t y i s r e l a t e d t o a c h a
Milliseconds 60 202 452 545 249 150 156 101 146 136 195 85 147 108 203 166 104 156 43 196 126 106 184 75 147
Character n g - e i n a n o t h e r . H o w d o e
Milliseconds 177 97 313 326 35 205 151 457 235 92 111 144 105 101 114 130 100 231 236 211 142 127 69 151 66
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 165 170 13 287 139 130 85 158 84 142 171 110 119 83 195 0 412 119 116 103 143 206 31 121 142
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 455 186 148 105 596 186 127 175 77 0 198 96 188 101 172 182 128 122 102 147 86 97 45 170 109
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 144 124 200 134 52 138 67 126 142 93 249 208 208 109 150 116 118 112 83 122 130 102 80 123 83
Character l e v e l o f w a t e r i n a b a t -t r
Milliseconds 166 50 217 181 117 168 142 59 117 79 177 92 216 201 77 155 142 194 166 151 216 47 187 301 45
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 187 184 64 177 153 114 131 93 109 176 140 124 132 148 113 119 72 101 91 72 193 68 175 96 177
Character o f -f - f t h e a m o u n t o f l i q u
Milliseconds 151 225 43 355 151 46 173 81 99 129 89 160 167 280 187 98 90 116 235 140 85 154 174 116 148
Character i d p u r e -e -r -u o u r e d o f -f -o i n t o
Milliseconds 164 250 132 199 269 198 201 234 147 237 196 225 100 198 194 156 167 167 302 147 227 106 102 91 167
Character i t ' -' ? W e s s -s e e c h a n c -c g e o
Milliseconds 128 65 300 494 284 254 295 150 101 120 184 296 86 183 103 115 96 137 113 86 325 26 242 73 162
Character c c u r i -i r i n g i n n r e a -a -e -r e a r l
Milliseconds 123 165 169 94 204 477 241 141 195 0 229 130 100 205 282 100 165 120 282 151 151 99 114 254 263
Character y e v e r y t h i n g w e o b s e v -v r v e
Milliseconds 153 131 165 148 173 166 118 132 116 114 154 82 151 114 153 120 328 168 144 157 539 226 61 169 168
Character i n t h e w o r l d a n - d u n v i e
Milliseconds 127 142 96 155 57 107 99 117 104 143 135 105 126 89 114 88 202 566 111 368 178 102 141 97 163
Character -e -i -v i v e r s e , a n d p o w e r f u l m
Milliseconds 252 172 126 203 119 190 139 123 159 72 149 118 64 72 125 172 194 207 142 202 173 125 159 166 167
Character o d e n r -r -n r n i n s t r u m e n t s h l -l
Milliseconds 51 112 165 121 108 269 148 152 81 183 87 119 99 118 185 83 159 89 148 47 156 193 156 242 255
Character e l p u s e -e s e e m -m m o r e a n d o
Milliseconds 49 189 162 183 167 122 74 146 246 47 154 181 87 431 141 127 100 60 192 66 123 76 81 102 177
Character m m r -r -m -m -o m o r e . I n t h i s s e c t
Milliseconds 19 65 47 344 162 149 118 334 161 102 183 115 209 176 284 250 80 117 74 144 101 101 136 189 181
Character i o n w e i -i i n t r o d u c e t h e i d
Milliseconds 76 214 114 188 95 128 211 450 123 116 98 60 185 102 119 115 84 177 120 156 134 115 120 133 73
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 156 115 129 90 120 98 128 187 171 207 155 246 207 201 74 154 170 119 129 185 111 101 135 152 183
Character t a n e o u s r a t e s o f c h a n g , -, e
Milliseconds 129 134 240 152 197 199 98 106 63 148 89 209 132 118 124 78 122 112 42 100 141 84 234 484 115
Character , a n d s h o w t h a t t h y e - -e -y e
Milliseconds 214 180 125 68 93 104 195 83 40 134 92 137 63 75 125 25 152 26 267 38 250 234 149 135 118
Character y a r e c l o s e l y r e l a t e d t o
Milliseconds 483 183 103 104 171 85 195 102 138 65 156 110 138 97 150 163 133 89 115 203 149 91 142 45 232
Character t h e s l o p e o f a c u r v - e t a
Milliseconds 82 109 146 163 156 125 162 130 94 139 164 80 123 91 132 61 159 89 207 288 288 49 216 163 134
Character - -a -t a t a p o i n t P o n t h e c
Milliseconds 122 324 145 133 112 110 107 151 96 135 203 233 133 36 181 251 203 147 118 177 122 29 89 150 376
Character u r v e . W E - -E e g i v - e p r e c i
Milliseconds 121 162 216 204 121 178 273 64 216 285 145 81 126 174 75 177 238 333 117 131 152 68 152 214 132
Character s e d e v e l o p m e n t s o f t h e s e
Milliseconds 95 138 87 223 183 206 175 134 150 151 160 90 139 52 122 135 171 123 111 83 96 104 128 119 175
Character i m p o r t a n t c o n c e p t s i n t h e
Milliseconds 116 209 150 141 145 148 136 131 101 117 140 59 228 28 178 152 88 119 82 181 89 189 39 135 81
Character n e s -s x t c h a p r -r t e r , b u t f o
Milliseconds 101 184 49 199 287 60 223 120 124 59 160 129 145 258 35 189 155 76 197 171 112 112 154 103 116
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 62 160 122 185 46 130 147 44 166 150 71 125 119 136 249 195 138 105 67 131 68 203 140 87 156
Character p a -a -p a p p r o a c h s o y o u w i l l
Milliseconds 208 203 103 186 115 327 183 101 151 191 143 120 166 124 102 224 30 147 190 200 94 54 196 133 174
Character s e e h o w t h e y l a d - -d -a e a d n
Milliseconds 82 156 164 61 235 95 195 146 167 101 247 113 190 193 149 141 128 322 163 149 84 115 106 117 172
Character a t u r a l l y t o t h e m a i n i d e a
Milliseconds 70 133 155 80 117 86 110 123 362 237 66 235 78 105 112 68 212 162 190 91 243 169 79 177 108
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 118 161 125 116 130 124 77 101 143 89 85 80 158 152 197 152 80 165 32 137 103 81 201 168 140
Character i t . T h e i d e a o a - -a f a - -a a
Milliseconds 127 48 202 151 344 305 93 117 178 90 224 116 117 132 135 132 579 152 84 244 124 216 148 86 112
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 147 141 162 126 126 87 134 159 139 150 136 143 89 160 124 150 50 241 77 43 121 166 75 152 104
Character a l r o l e t h r o u g h o u t c a l c u l
Milliseconds 95 172 221 166 133 232 109 91 176 90 129 121 202 129 122 210 169 71 125 123 112 155 99 443 232
Character u s .
Milliseconds 189 99 1179
WPM Timing
Seconds WPM
2.95 36.64
5.9 59.03
8.84 65.14
11.79 69.21
14.74 65.95
17.69 65.82
20.63 67.47
23.58 70.23
26.53 69.66
29.48 72.06
32.42 74.02
35.37 73.62
38.32 74.85
41.27 74.74
44.21 72.2
47.16 70.23
50.11 69.45
53.06 68.98
56 67.71
58.95 67.58
61.9 67.85
64.85 67.36
67.79 67.09
70.74 67.34
73.69 67.42
76.64 66.7
79.58 66.8
82.53 67.61
85.48 67.95
88.43 68.26
91.37 68.42
94.32 68.83
97.27 69.58
100.22 68.73
103.16 68.86
106.11 68.19
109.06 68.66
112.01 69.32
114.95 69.73
117.9 70.02
120.85 70
123.8 70.18
126.74 69.97
129.69 70.14
132.64 70.66
135.59 70.89
138.53 70.16
141.48 70.65
144.43 70.95
147.38 70.35