Typer Shark (teodorrd27)

Race #10080

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Official speed 131.71 wpm (78.72 seconds elapsed during race)
Without ending ping 132.07 wpm (215 ms delay sending score to TypeRacer’s server)
Timerless 132.43 wpm (212 ms elapsed before first character typed; 78.29 seconds elapsed during race)
Timerless minus one 132.28 wpm, ignoring the first character typed
Race Start March 31, 2025 1:02:34pm UTC
Race Finish March 31, 2025 1:03:53pm UTC
Outcome Win (1 of 3)
Accuracy 98.4%
Points 355.61
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 quantity is related to a change in another. How does the speed of a falling objec thcant 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 ocucurring in ennearly everything we observe in the world and univers,ee, and powerful moden rn instruments help us see more and more. In this section we introduce the ideas of avearrage and instantaneous strates 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 sehow e how they lead naturally to the main idea o ff this chapter, the limit. 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 212 162 75 117 81 106 110 92 90 85 58 83 99 75 76 83 125 141 86 48 116 9 83 58 84
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 65 63 125 60 91 75 82 76 75 144 52 155 65 111 98 88 24 96 41 58 100 17 84 75 100
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 50 84 58 83 66 76 41 77 50 82 51 66 66 66 108 62 116 63 106 80 95 47 90 83 84
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 58 108 39 115 91 67 92 124 73 66 50 91 34 133 145 90 86 92 58 84 41 76 47 65 75
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 75 100 58 92 57 80 25 58 134 100 50 83 75 59 90 60 50 66 75 77 66 146 134 98 142
Character d o f a f a l l i n g o b j e c t h c a
Milliseconds 136 67 113 75 67 83 92 67 91 67 125 66 55 67 49 84 117 0 133 151 107 9 141 0 148
Character n -n -a -c -h -t - t c h a n g e a s a f u n c
Milliseconds 41 243 126 137 135 157 126 92 66 104 76 49 159 32 109 84 93 90 67 91 58 67 59 133 33
Character t i o n o f t i m e ? H o w d o e s t h
Milliseconds 88 38 66 25 52 81 17 94 89 34 75 33 160 71 115 117 74 92 109 75 108 100 42 83 59
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 66 75 67 125 120 115 50 82 70 45 67 75 100 49 109 77 50 82 44 65 24 142 67 116 66
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 136 90 75 83 100 58 109 66 59 58 75 80 83 60 98 84 48 74 124 33 89 40 59 41 42
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 92 42 68 99 24 76 49 67 67 149 92 142 76 41 91 67 66 101 91 125 72 90 68 75 83
Character o u r e d i n t o i t / - -/ ? W e s e e
Milliseconds 107 116 79 82 145 74 83 42 83 92 84 305 103 130 128 317 114 174 108 67 190 96 142 142 117
Character c h a n g e o c u -u c u r r i n g i n e n
Milliseconds 67 133 51 103 58 41 84 34 32 119 175 233 95 108 85 125 75 56 75 42 92 42 58 59 83
Character -n -e n e a r l y e v e r y t h i n g w e o b
Milliseconds 201 111 111 73 70 55 63 91 59 108 117 125 58 56 97 88 84 66 17 59 125 104 43 99 132
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 137 87 118 154 125 66 72 49 51 16 83 101 25 108 75 69 94 58 75 92 41 91 34 119 121
Character i v e r s , e -e -, e , a n d p o w e r f u l
Milliseconds 89 34 108 92 67 83 59 239 102 98 81 59 86 64 68 65 75 92 60 58 82 141 67 109 91
Character m o d e n - -n r n i n s t r u m e n t s h e
Milliseconds 167 100 51 132 79 97 259 111 109 49 75 103 50 81 75 124 50 138 84 56 65 110 14 109 83
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 68 115 67 67 109 69 118 128 118 32 55 76 40 59 41 93 16 142 0 88 83 62 38 83 50
Character I n t h i s s e c t i o n w e i n t r o d
Milliseconds 141 93 72 32 103 77 23 93 91 116 144 111 16 63 42 55 49 100 74 100 50 50 109 55 92
Character u c e t h e i d e a s o f a v e a r -r -a r
Milliseconds 82 76 136 58 84 58 42 58 85 49 117 104 49 67 67 168 152 150 125 125 175 78 181 141 66
Character a g e a n d i n s t a n t a n e o u s s t -t
Milliseconds 96 75 76 67 83 74 58 43 100 50 42 83 125 86 114 143 167 542 87 98 143 164 154 62 198
Character -s r a t e s o f c h a n g e , a n d s h o
Milliseconds 121 83 100 76 74 92 85 82 74 68 116 67 75 58 42 92 50 42 75 66 58 58 101 32 85
Character w t h a t t h e y a r e c l o s e l y r
Milliseconds 85 73 51 82 66 52 49 108 34 75 41 87 38 73 64 80 92 54 118 40 94 72 85 66 75
Character e l a t e d t o t h e s l o p e o f a
Milliseconds 49 59 100 62 63 135 49 78 33 92 41 59 58 92 109 42 149 97 84 73 83 59 100 67 100
Character c u r v e a t a p o i n t P o n t h e
Milliseconds 85 82 75 134 86 105 58 116 67 76 116 110 91 40 59 50 83 125 125 116 68 50 50 69 55
Character c u r v e . W e g i v e p r e c i s e d
Milliseconds 55 125 58 81 157 82 58 55 117 111 93 156 136 117 99 42 108 34 75 133 48 106 92 43 126
Character e v e l o p m e n t s o f t h e s e i m p o
Milliseconds 124 111 85 48 120 85 68 73 109 0 125 51 83 48 86 92 73 34 125 66 80 87 80 40 68
Character r t a n t c o n c e p t s i n t h e n e x
Milliseconds 58 138 90 77 70 92 102 77 67 33 155 60 93 83 60 91 41 83 0 92 60 65 86 75 131
Character t c h a p t e r , b u t f o r n o w w e
Milliseconds 91 67 134 72 98 67 39 115 84 34 57 92 51 116 59 118 31 129 17 75 58 42 66 101 116
Character u s e a n i n f o r m a l a p p r o a c h
Milliseconds 101 153 108 75 92 125 83 100 80 42 84 81 125 34 164 94 142 133 59 124 84 75 117 75 58
Character s o y o u w i l l s e h o w - -w -o -h e
Milliseconds 85 57 75 83 58 92 80 41 25 84 91 134 75 0 92 78 85 99 51 286 118 140 152 77 50
Character h o w t h e y l e a d n a t u r a l l y t
Milliseconds 100 67 100 34 84 74 91 17 92 66 59 59 67 92 137 91 66 77 82 83 60 123 84 50 100
Character o t h e m a i n i d e a o f -f - f t h
Milliseconds 50 68 169 77 82 37 83 60 91 58 50 100 101 130 85 45 81 161 85 242 95 71 50 124 43
Character i s c h a p t e r , t h e l i m i t . T h
Milliseconds 75 67 32 226 88 100 157 30 365 86 117 47 134 35 92 15 141 81 82 66 86 90 83 91 100
Character e i d e a o f a l i m i t p l a y s a
Milliseconds 92 53 95 56 142 67 65 65 76 65 59 99 67 91 67 84 83 50 50 133 47 99 75 50 116
Character f o u n d a t i o n a l r o l e t h r o u g
Milliseconds 85 74 50 67 125 34 78 67 25 76 32 100 509 56 86 69 151 92 141 104 83 100 42 67 91
Character h o u t c a l c u l u s .
Milliseconds 51 91 84 83 61 114 106 31 117 58 93 99 169 93
WPM Timing
Seconds WPM
1.57 114.33
3.15 129.58
4.72 139.74
6.3 144.82
7.87 143.3
9.45 147.36
11.02 144.82
12.59 138.15
14.17 130.42
15.74 134.91
17.32 134.43
18.89 136.56
20.47 138.37
22.04 139.92
23.62 139.23
25.19 133.39
26.76 131.82
28.34 130
29.91 131.18
31.49 131.86
33.06 130.3
34.64 130.62
36.21 129.24
37.78 130.21
39.36 131.1
40.93 132.51
42.51 131.27
44.08 130.94
45.66 128.26
47.23 128.31
48.81 130.07
50.38 131.24
51.95 131.19
53.53 131.82
55.1 131.54
56.68 131.69
58.25 132.46
59.83 132.99
61.4 133.88
62.97 133.58
64.55 133.67
66.12 131.94
67.7 132.59
69.27 132.87
70.85 131.95
72.42 131.56
74 132.01
75.57 132.75
77.14 131.91
78.72 131.71