Official speed |
103.43 wpm (100.24 seconds elapsed during race) |
Without ending ping |
103.72 wpm (280 ms delay sending score to TypeRacer’s server) |
Timerless |
104.32 wpm (576 ms elapsed before first character typed; 99.39 seconds elapsed during race) |
Timerless minus one |
104.20 wpm, ignoring the first character typed |
Race Start |
December 21, 2023 2:35:09pm UTC |
Race Finish |
December 21, 2023 2:36:49pm UTC |
Outcome |
Win (1 of 4) |
Opponents |
2. hofgalmir (85.97 wpm)
|
Accuracy |
97.1% |
Points |
279.25 |
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 quainntity is releatated to a change in another. How does the speed of a falling object change as a function of time? DHow does the level of water in a barrel change as a funcntion of the amount of liquid poured into it? We see change occurin inring in reanearnearly everhtything we observe in the world and universe, and powerful moderns in instruments help u ss see more and more. In this section we introduce the ideas of average and instatntnnteantoeoius us rates of changgee, and show that they are. closely realtelated to teh she slope of a cruvecurve at a point P on the curve. We give precidse developments of tehse hese important concepts in the next chapter, but for nowe we use an informal approach so you will see how they lead natruurally to the main idea of this cahhapter, the limit. The idea of a limit plays a foundatinoonal role throughout calculus. |
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69 |
75 |
60 |
70 |
48 |
85 |
52 |
112 |
35 |
359 |
101 |
103 |
86 |
91 |
74 |
103 |
79 |
174 |
62 |
85 |
77 |
42 |
36 |
Character |
l |
i |
m |
i |
t |
. |
|
T |
h |
e |
|
i |
d |
e |
a |
|
o |
f |
|
a |
|
l |
i |
m |
i |
Milliseconds |
119 |
86 |
122 |
123 |
112 |
121 |
101 |
61 |
148 |
24 |
81 |
256 |
59 |
129 |
0 |
117 |
46 |
94 |
86 |
31 |
157 |
55 |
77 |
97 |
148 |
Character |
t |
|
p |
l |
a |
y |
s |
|
a |
|
f |
o |
u |
n |
d |
a |
t |
i |
n |
o |
-o |
-n |
o |
n |
a |
Milliseconds |
155 |
121 |
45 |
148 |
56 |
150 |
50 |
72 |
94 |
117 |
447 |
79 |
69 |
130 |
40 |
79 |
105 |
483 |
149 |
122 |
242 |
112 |
48 |
88 |
102 |
Character |
l |
|
r |
o |
l |
e |
|
t |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
c |
u |
l |
u |
Milliseconds |
72 |
83 |
78 |
123 |
191 |
41 |
71 |
56 |
122 |
60 |
79 |
67 |
85 |
88 |
111 |
97 |
86 |
96 |
94 |
76 |
80 |
91 |
126 |
154 |
106 |
Character |
s |
. |
Milliseconds |
112 |
61 |
|
WPM Timing |
Seconds |
WPM |
2 |
47.88 |
4.01 |
98.76 |
6.01 |
115.72 |
8.02 |
106.24 |
10.02 |
102.95 |
12.03 |
109.73 |
14.03 |
112.87 |
16.04 |
115.22 |
18.04 |
117.72 |
20.05 |
116.72 |
22.05 |
118.08 |
24.06 |
116.72 |
26.06 |
118.79 |
28.07 |
119.28 |
30.07 |
118.11 |
32.08 |
114.1 |
34.08 |
111.26 |
36.09 |
109.73 |
38.09 |
110.57 |
40.1 |
112.23 |
42.1 |
109.73 |
44.11 |
108.56 |
46.11 |
109.56 |
48.12 |
110.98 |
50.12 |
111.33 |
52.13 |
110.27 |
54.13 |
107.52 |
56.14 |
106.88 |
58.14 |
106.91 |
60.15 |
105.94 |
62.15 |
105.81 |
64.15 |
104.56 |
66.16 |
101.94 |
68.16 |
102.46 |
70.17 |
103.29 |
72.17 |
102.42 |
74.18 |
101.59 |
76.18 |
102.38 |
78.19 |
102.67 |
80.19 |
102.95 |
82.2 |
102.92 |
84.2 |
102.18 |
86.21 |
103.01 |
88.21 |
102.57 |
90.22 |
103.62 |
92.22 |
103.45 |
94.23 |
103.92 |
96.23 |
103.87 |
98.24 |
103.22 |
100.24 |
103.43 |
|