Official speed |
126.21 wpm (82.15 seconds elapsed during race) |
Without ending ping |
126.89 wpm (155 ms delay sending score to TypeRacer’s server) |
Timerless |
127.46 wpm (371 ms elapsed before first character typed; 81.62 seconds elapsed during race) |
Timerless minus one |
127.32 wpm, ignoring the first character typed |
Race Start |
July 11, 2023 7:47:05pm UTC |
Race Finish |
July 11, 2023 7:48:27pm UTC |
Outcome |
Win (1 of 5) |
Opponents |
3. loltopgap (76.08 wpm)
|
Accuracy |
96.6% |
Points |
340.76 |
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 unds understand how a chance ge in one quantity is related to a change in another. How does the speed of a falling objrct ect change as a function of time? How does the level of water in a barrel change as a function of the aounmount of luqid iquid poured into it? We see change occurdring in nearly everything we observe in the world and universe, and mopowerful modern instreumnuments help us see more and mroe. more;ore. In this section we introduce the idea os fs of average and instantneaneous crrates of change, and show tha they hat they are closely related to the slope of a curfve ave at a point P on the cufvedrve. We giv pree precise developmments of these imp\ortmportant concepts in the nex ct chapter, but for now se usewse usee use an informal approach so you will see how they lead naturally to hthe mahe main idea of this chapter, the milimit. The idea of a limit plays a foundational role throughtoutout calculus. |
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h |
Milliseconds |
67 |
53 |
71 |
56 |
75 |
22 |
92 |
54 |
70 |
137 |
0 |
34 |
107 |
49 |
34 |
109 |
46 |
39 |
69 |
82 |
0 |
112 |
38 |
29 |
17 |
Character |
t |
h |
e |
|
m |
a |
-h |
-h |
-e |
- |
-m |
-a |
h |
e |
|
m |
a |
i |
n |
|
i |
d |
e |
a |
|
Milliseconds |
79 |
45 |
78 |
34 |
37 |
66 |
428 |
0 |
0 |
0 |
0 |
0 |
77 |
37 |
49 |
29 |
92 |
69 |
15 |
37 |
87 |
55 |
130 |
45 |
32 |
Character |
o |
f |
|
t |
h |
i |
s |
|
c |
h |
a |
p |
t |
e |
r |
, |
|
t |
h |
e |
|
m |
i |
$l |
-i |
Milliseconds |
33 |
67 |
49 |
72 |
51 |
33 |
65 |
13 |
117 |
91 |
96 |
20 |
126 |
111 |
32 |
32 |
27 |
69 |
76 |
55 |
43 |
55 |
89 |
544 |
0 |
Character |
i |
m |
i |
t |
. |
|
T |
h |
e |
|
i |
d |
e |
a |
|
o |
f |
|
a |
|
l |
i |
m |
i |
t |
Milliseconds |
50 |
108 |
56 |
96 |
120 |
40 |
61 |
66 |
49 |
57 |
53 |
63 |
139 |
36 |
49 |
34 |
58 |
48 |
52 |
112 |
39 |
37 |
138 |
47 |
108 |
Character |
|
p |
l |
a |
y |
s |
|
a |
|
f |
o |
u |
n |
d |
a |
t |
i |
o |
n |
a |
l |
|
r |
o |
l |
Milliseconds |
82 |
42 |
137 |
92 |
75 |
52 |
52 |
72 |
85 |
94 |
111 |
24 |
95 |
46 |
30 |
48 |
69 |
0 |
0 |
72 |
115 |
36 |
94 |
48 |
86 |
Character |
e |
|
t |
h |
r |
o |
u |
g |
h |
t |
o |
u |
t |
-t |
-u |
-o |
-t |
o |
u |
t |
|
c |
a |
l |
c |
Milliseconds |
29 |
113 |
34 |
97 |
21 |
70 |
46 |
49 |
83 |
79 |
62 |
76 |
111 |
262 |
129 |
153 |
136 |
138 |
48 |
22 |
79 |
60 |
54 |
43 |
99 |
Character |
u |
l |
u |
s |
. |
Milliseconds |
111 |
84 |
92 |
117 |
205 |
|
WPM Timing |
Seconds |
WPM |
1.64 |
94.95 |
3.29 |
113.21 |
4.93 |
119.3 |
6.57 |
113.21 |
8.21 |
121.24 |
9.86 |
131.47 |
11.5 |
135.64 |
13.14 |
130.56 |
14.79 |
129.85 |
16.43 |
134.39 |
18.07 |
139.44 |
19.72 |
138.77 |
21.36 |
138.21 |
23 |
133.56 |
24.64 |
134.39 |
26.29 |
135.12 |
27.93 |
134.91 |
29.57 |
138.37 |
31.22 |
141.08 |
32.86 |
140.96 |
34.5 |
137.38 |
36.15 |
138.11 |
37.79 |
132.1 |
39.43 |
128.43 |
41.07 |
130.88 |
42.72 |
128.66 |
44.36 |
129.58 |
46 |
127.56 |
47.65 |
128.7 |
49.29 |
127.33 |
50.93 |
130.53 |
52.58 |
129.19 |
54.22 |
129.48 |
55.86 |
127.82 |
57.5 |
126.25 |
59.15 |
125.79 |
60.79 |
125.35 |
62.43 |
125.89 |
64.08 |
125.66 |
65.72 |
125.63 |
67.36 |
122.56 |
69 |
123.12 |
70.65 |
123.66 |
72.29 |
125.33 |
73.93 |
125.14 |
75.58 |
126.23 |
77.22 |
126.5 |
78.86 |
127.66 |
80.51 |
127.3 |
82.15 |
126.21 |
|