Official speed |
85.26 wpm (121.60 seconds elapsed during race) |
Without ending ping |
85.32 wpm (87 ms delay sending score to TypeRacer’s server) |
Timerless |
85.65 wpm (461 ms elapsed before first character typed; 121.06 seconds elapsed during race) |
Timerless minus one |
85.55 wpm, ignoring the first character typed |
Race Start |
November 16, 2023 1:38:17am UTC |
Race Finish |
November 16, 2023 1:40:19am UTC |
Outcome |
No win (2 of 5) |
Opponents |
3. joeljohnstone (82.22 wpm)
|
Accuracy |
97.3% |
Points |
230.20 |
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 tahat 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 odoes the level of water in a barrel change as a function of the amount of liquit d porured into it? We see change occuring irin g in nearly everything we obserce ive in the world and universe , andp powerful modern instruments help us see more and more . iNIn this esection we introduce the ideas of average and instantenoaneous rates of change, and show that they are closel y related t o the slope of a curve at a point P on the cruurve. We give precise development ofs of these imprortant concepts in the netxt chapter, but for now ew we use an informal approach so yoy wiy wiuu 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 claaculculus. |
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83 |
117 |
63 |
519 |
141 |
117 |
63 |
171 |
66 |
279 |
Character |
a |
t |
i |
o |
n |
a |
l |
|
r |
o |
l |
e |
|
t |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
Milliseconds |
94 |
146 |
51 |
171 |
72 |
133 |
116 |
110 |
200 |
38 |
180 |
63 |
108 |
120 |
57 |
130 |
43 |
154 |
115 |
66 |
164 |
130 |
129 |
26 |
295 |
Character |
l |
a |
-a |
-l |
a |
c |
u |
-u |
-c |
l |
c |
u |
l |
u |
s |
. |
Milliseconds |
160 |
160 |
330 |
140 |
31 |
129 |
159 |
382 |
130 |
162 |
111 |
147 |
180 |
220 |
140 |
82 |
|
WPM Timing |
Seconds |
WPM |
2.43 |
64.14 |
4.86 |
71.54 |
7.3 |
83.88 |
9.73 |
91.28 |
12.16 |
97.69 |
14.59 |
101.15 |
17.02 |
102.2 |
19.46 |
103 |
21.89 |
99.78 |
24.32 |
100.65 |
26.75 |
102.27 |
29.19 |
103.61 |
31.62 |
100.2 |
34.05 |
97.62 |
36.48 |
97.69 |
38.91 |
92.82 |
41.35 |
94.33 |
43.78 |
91.28 |
46.21 |
92.97 |
48.64 |
91.28 |
51.07 |
91.4 |
53.51 |
91.06 |
55.94 |
90.1 |
58.37 |
88.61 |
60.8 |
89.4 |
63.23 |
90.14 |
65.67 |
88.63 |
68.1 |
89.34 |
70.53 |
89.83 |
72.96 |
88.98 |
75.39 |
88.02 |
77.83 |
87.42 |
80.26 |
87.62 |
82.69 |
86.35 |
85.12 |
86.42 |
87.56 |
85.93 |
89.99 |
85.48 |
92.42 |
85.83 |
94.85 |
85.78 |
97.28 |
85.61 |
99.72 |
86.16 |
102.15 |
84.35 |
104.58 |
83.88 |
107.01 |
84.44 |
109.44 |
85.08 |
111.88 |
85.7 |
114.31 |
86.08 |
116.74 |
86.14 |
119.17 |
86.19 |
121.6 |
85.26 |
|