Official speed |
74.14 wpm (139.84 seconds elapsed during race) |
Without ending ping |
74.21 wpm (125 ms delay sending score to TypeRacer’s server) |
Timerless |
74.22 wpm (25 ms elapsed before first character typed; 139.69 seconds elapsed during race) |
Timerless minus one |
74.13 wpm, ignoring the first character typed |
Race Start |
September 1, 2023 5:35:54pm UTC |
Race Finish |
September 1, 2023 5:38:14pm UTC |
Outcome |
No win (3 of 5) |
Opponents |
1. dunkmasta (98.75 wpm)
|
Accuracy |
96.4% |
Points |
200.17 |
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 undrerstand how a change in one quantity is relate to d to a change in another. How does the pespeed of a afalling iobject change as a function of time? Hwo ow does the level of water in a barrwl el change aa s a cfunction of the mamoutnt of liquid poured into it? We se e change occuring rring in nearly everything we boobserve in the world and universe, nand powerful modern instruments hlpelp us see more and more. In this section we introduce the ideas of taverage and instantaneous ratres of change, and show that they are closely related to the lsslope of a curgeve at a point P on the curve. We give precise developments of thsesese importana t concepts in the next chatpepter, but for now ewwe use an informal apporraooach so you will see how they lead naturally tot t hhe main idea of this chapter , the limit. The idea of a limit plays a foundational role thoruroughout claalcuallus. |
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90 |
144 |
99 |
128 |
111 |
289 |
159 |
111 |
93 |
273 |
150 |
174 |
55 |
155 |
180 |
78 |
118 |
49 |
Character |
|
l |
i |
m |
i |
t |
|
p |
l |
a |
y |
s |
|
a |
|
f |
o |
u |
n |
d |
a |
t |
i |
o |
n |
Milliseconds |
90 |
216 |
154 |
88 |
158 |
115 |
94 |
133 |
178 |
114 |
133 |
124 |
107 |
83 |
90 |
186 |
117 |
74 |
55 |
101 |
181 |
231 |
121 |
32 |
81 |
Character |
a |
l |
|
r |
o |
l |
e |
|
t |
h |
o |
r |
u |
-u |
-r |
-o |
r |
o |
u |
g |
h |
o |
u |
t |
|
Milliseconds |
273 |
165 |
107 |
210 |
125 |
169 |
65 |
133 |
139 |
91 |
20 |
104 |
126 |
321 |
148 |
120 |
76 |
127 |
68 |
106 |
119 |
228 |
61 |
78 |
124 |
Character |
c |
l |
a |
-a |
-l |
a |
l |
c |
u |
a |
l |
-l |
-a |
l |
u |
s |
. |
Milliseconds |
198 |
136 |
181 |
343 |
107 |
54 |
181 |
144 |
119 |
155 |
46 |
365 |
126 |
209 |
146 |
88 |
130 |
|
WPM Timing |
Seconds |
WPM |
2.8 |
60.07 |
5.59 |
77.23 |
8.39 |
85.81 |
11.19 |
79.37 |
13.98 |
75.51 |
16.78 |
82.95 |
19.58 |
80.91 |
22.37 |
76.69 |
25.17 |
79.61 |
27.97 |
76.8 |
30.77 |
79.96 |
33.56 |
78.66 |
36.36 |
76.9 |
39.16 |
76.31 |
41.95 |
76.37 |
44.75 |
75.89 |
47.55 |
74.96 |
50.34 |
74.37 |
53.14 |
73.62 |
55.94 |
74.44 |
58.73 |
74.16 |
61.53 |
75.08 |
64.33 |
74.06 |
67.12 |
74.73 |
69.92 |
75.51 |
72.72 |
75.58 |
75.52 |
75.16 |
78.31 |
74.62 |
81.11 |
74.57 |
83.91 |
76.09 |
86.7 |
76.4 |
89.5 |
75.75 |
92.3 |
75.67 |
95.09 |
76.35 |
97.89 |
75.51 |
100.69 |
74.96 |
103.48 |
74.45 |
106.28 |
75.08 |
109.08 |
74.92 |
111.87 |
74.76 |
114.67 |
73.99 |
117.47 |
73.86 |
120.27 |
74.54 |
123.06 |
73.82 |
125.86 |
73.99 |
128.66 |
74.34 |
131.45 |
74.49 |
134.25 |
74.99 |
137.05 |
74.87 |
139.84 |
74.14 |
|