Official speed |
156.96 wpm (66.06 seconds elapsed during race) |
Without ending ping |
157.46 wpm (208 ms delay sending score to TypeRacer’s server) |
Timerless |
157.87 wpm (171 ms elapsed before first character typed; 65.68 seconds elapsed during race) |
Timerless minus one |
157.68 wpm, ignoring the first character typed |
Race Start |
January 25, 2024 4:00:43am UTC |
Race Finish |
January 25, 2024 4:01:49am UTC |
Outcome |
Win (1 of 2) |
Opponents |
2. fenno4 (154.29 wpm)
|
Accuracy |
97.0% |
Points |
423.81 |
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 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 barrle chbarrel change as a function of the amount of liquid poure dintopoured into it? We see change occurring in eary nearly everything we observe ni the wn the world and universe, and powerful modern instruments help us see more and more. In this section we inintrointroduce the ideas of average nad insand instantaneous rates of change, and show that tehy are they are clseosely related to the sloeppe of a curve at pa ponit Ppoint P on the curve. W e give precise deveopml0popments of these instruiportantimportant concepts in the next chapter, but for now we use an informal approach so you wll seawilwill see how they lead naturall yto alturally to the main idea of this chapter, the limit. The idea of a limmit pllimit plays a foundational role throughout calculus. |
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s |
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e |
|
h |
o |
Milliseconds |
196 |
23 |
148 |
33 |
76 |
189 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
87 |
54 |
67 |
86 |
49 |
29 |
58 |
74 |
44 |
64 |
58 |
Character |
w |
|
t |
h |
e |
y |
|
l |
e |
a |
d |
|
n |
a |
t |
u |
r |
a |
l |
l |
|
y |
t |
o |
|
Milliseconds |
16 |
68 |
63 |
35 |
59 |
28 |
65 |
44 |
35 |
30 |
42 |
46 |
50 |
44 |
55 |
62 |
44 |
23 |
64 |
84 |
112 |
31 |
60 |
51 |
108 |
Character |
-y |
-t |
-o |
- |
-a |
-t |
-u |
-r |
-a |
-l |
-l |
- |
a |
l |
-l |
t |
u |
r |
a |
l |
l |
y |
|
t |
o |
Milliseconds |
203 |
0 |
0 |
0 |
173 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
92 |
62 |
238 |
227 |
28 |
66 |
14 |
50 |
85 |
119 |
19 |
56 |
43 |
Character |
|
t |
h |
e |
|
m |
a |
i |
n |
|
i |
d |
e |
a |
|
o |
f |
|
t |
h |
i |
s |
|
c |
h |
Milliseconds |
63 |
41 |
25 |
52 |
60 |
24 |
65 |
35 |
49 |
47 |
59 |
26 |
91 |
41 |
33 |
35 |
61 |
33 |
55 |
22 |
71 |
29 |
58 |
42 |
73 |
Character |
a |
p |
t |
e |
r |
, |
|
t |
h |
e |
|
l |
i |
m |
i |
t |
. |
|
T |
h |
e |
|
i |
d |
e |
Milliseconds |
74 |
60 |
79 |
60 |
24 |
30 |
71 |
48 |
19 |
45 |
55 |
41 |
101 |
67 |
99 |
83 |
66 |
43 |
73 |
53 |
22 |
64 |
29 |
37 |
104 |
Character |
a |
|
o |
f |
|
a |
|
l |
i |
m |
m |
i |
t |
|
p |
l |
-l |
-i |
-m |
-m |
-i |
-t |
- |
-p |
-l |
Milliseconds |
18 |
58 |
39 |
49 |
59 |
43 |
74 |
25 |
120 |
19 |
56 |
33 |
98 |
39 |
51 |
67 |
164 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
Character |
l |
i |
m |
i |
t |
|
p |
l |
a |
y |
s |
|
a |
|
f |
o |
u |
n |
d |
a |
t |
i |
o |
n |
a |
Milliseconds |
157 |
98 |
64 |
110 |
53 |
56 |
42 |
57 |
41 |
70 |
34 |
56 |
28 |
65 |
23 |
37 |
28 |
90 |
23 |
49 |
33 |
42 |
40 |
95 |
142 |
Character |
l |
|
r |
o |
l |
e |
|
t |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
c |
u |
l |
u |
Milliseconds |
84 |
57 |
66 |
71 |
54 |
52 |
50 |
52 |
45 |
39 |
11 |
57 |
77 |
26 |
67 |
53 |
7 |
39 |
75 |
37 |
57 |
90 |
90 |
38 |
146 |
Character |
s |
. |
Milliseconds |
88 |
69 |
|
WPM Timing |
Seconds |
WPM |
1.32 |
154.42 |
2.64 |
190.75 |
3.96 |
187.72 |
5.28 |
188.48 |
6.61 |
196.2 |
7.93 |
198.32 |
9.25 |
198.54 |
10.57 |
188.48 |
11.89 |
192.77 |
13.21 |
190.75 |
14.53 |
181.67 |
15.85 |
185.45 |
17.17 |
183.06 |
18.5 |
170.64 |
19.82 |
170.16 |
21.14 |
171.45 |
22.46 |
168.84 |
23.78 |
169.05 |
25.1 |
169.72 |
26.42 |
172.13 |
27.74 |
173.88 |
29.06 |
176.71 |
30.39 |
173.37 |
31.71 |
171.07 |
33.03 |
170.77 |
34.35 |
168.74 |
35.67 |
171.24 |
36.99 |
169.66 |
38.31 |
168.51 |
39.63 |
167.74 |
40.95 |
167.31 |
42.28 |
162.65 |
43.6 |
162.67 |
44.92 |
162.16 |
46.24 |
159.61 |
47.56 |
157.44 |
48.88 |
155.4 |
50.2 |
154.89 |
51.52 |
155.81 |
52.84 |
156.69 |
54.17 |
157.74 |
55.49 |
155.71 |
56.81 |
156.95 |
58.13 |
153.8 |
59.45 |
154.01 |
60.77 |
156 |
62.09 |
156.93 |
63.41 |
155.36 |
64.73 |
156.46 |
66.06 |
156.96 |
|