| Official speed |
88.35 wpm (117.35 seconds elapsed during race) |
| Without ending ping |
88.49 wpm (186 ms delay sending score to TypeRacer’s server) |
| Timerless |
88.97 wpm (631 ms elapsed before first character typed; 116.53 seconds elapsed during race) |
| Timerless minus one |
88.87 wpm, ignoring the first character typed |
| Race Start |
January 10, 2025 11:04:04pm UTC |
| Race Finish |
January 10, 2025 11:06:01pm UTC |
| Outcome |
No win (3 of 3) |
| Opponents |
2. cogking (105.21 wpm)
|
| Accuracy |
96.8% |
| Points |
238.56 |
| 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 quantitiy sy is raelatseed to a changei n in another. How does the speed fofo aof a falling object change as a cufuncton ion of time? HOow does the level of water in a barrleel change as a fucntunction of the amount of liquid poured into tiit? We see change oucccurring in nearly everthiything we observe in the world an d universe, and powerful modern instrumenes ts help us see more and more. In this section we introduce the ideas of averangeage ge and instantaneous reateaaates of change, and show that they are closely related to ghthe slpope of a curve at a point P on the curve. We give prcecise developments of these importatnnt concepts in the next chapter, but for now we use an informal approadch so you will see how they lead natruaurally to the main idea of this dchapter, the limit. The idea of a limit plyaays a foundationnaal role throughout calculius.us. |
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h |
a |
p |
t |
e |
r |
, |
|
t |
h |
e |
|
l |
i |
m |
i |
t |
. |
|
T |
| Milliseconds |
117 |
81 |
203 |
431 |
85 |
83 |
60 |
97 |
149 |
192 |
84 |
270 |
64 |
121 |
64 |
99 |
72 |
212 |
72 |
127 |
101 |
119 |
117 |
106 |
155 |
| Character |
h |
e |
|
i |
d |
e |
a |
|
o |
f |
|
a |
|
l |
i |
m |
i |
t |
|
p |
l |
y |
a |
-a |
-y |
| Milliseconds |
87 |
64 |
87 |
81 |
88 |
110 |
39 |
72 |
98 |
76 |
104 |
82 |
86 |
135 |
65 |
128 |
107 |
104 |
73 |
87 |
113 |
136 |
47 |
335 |
182 |
| Character |
a |
y |
s |
|
a |
|
f |
o |
u |
n |
d |
a |
t |
i |
o |
n |
n |
a |
-a |
-n |
a |
l |
|
r |
o |
| Milliseconds |
232 |
121 |
104 |
90 |
243 |
148 |
126 |
78 |
61 |
137 |
66 |
50 |
126 |
69 |
65 |
52 |
375 |
82 |
258 |
123 |
162 |
100 |
85 |
145 |
69 |
| Character |
l |
e |
|
t |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
c |
u |
l |
i |
u |
s |
. |
-. |
| Milliseconds |
148 |
100 |
83 |
132 |
101 |
368 |
75 |
50 |
123 |
71 |
292 |
58 |
104 |
119 |
184 |
99 |
45 |
171 |
128 |
96 |
141 |
14 |
482 |
92 |
274 |
| Character |
-s |
-u |
-i |
u |
s |
. |
| Milliseconds |
166 |
138 |
298 |
171 |
82 |
85 |
|
| WPM Timing |
| Seconds |
WPM |
2.35 |
71.58 |
4.69 |
94.59 |
7.04 |
107.37 |
9.39 |
95.87 |
11.74 |
88.96 |
14.08 |
86.92 |
16.43 |
90.57 |
18.78 |
83.72 |
21.12 |
86.92 |
23.47 |
83.34 |
25.82 |
82.27 |
28.16 |
82.66 |
30.51 |
84.17 |
32.86 |
84 |
35.21 |
83.51 |
37.55 |
85 |
39.9 |
83.91 |
42.25 |
84.08 |
44.59 |
85.03 |
46.94 |
85.13 |
49.29 |
84.97 |
51.63 |
85.52 |
53.98 |
86.7 |
56.33 |
86.49 |
58.68 |
87.94 |
61.02 |
89.67 |
63.37 |
88.43 |
65.72 |
87.83 |
68.06 |
86.21 |
70.41 |
86.75 |
72.76 |
88.07 |
75.1 |
88.2 |
77.45 |
88 |
79.8 |
88.42 |
82.15 |
87.94 |
84.49 |
87.63 |
86.84 |
88.44 |
89.19 |
87.59 |
91.53 |
87.84 |
93.88 |
88.71 |
96.23 |
88.41 |
98.58 |
88.74 |
100.92 |
88.7 |
103.27 |
89.71 |
105.62 |
89.42 |
107.96 |
90.14 |
110.31 |
89.75 |
112.66 |
89.47 |
115 |
89.63 |
117.35 |
88.35 |
|