Official speed |
95.62 wpm (108.43 seconds elapsed during race) |
Without ending ping |
96.10 wpm (545 ms delay sending score to TypeRacer’s server) |
Timerless |
96.83 wpm (812 ms elapsed before first character typed; 107.07 seconds elapsed during race) |
Timerless minus one |
96.72 wpm, ignoring the first character typed |
Race Start |
September 27, 2023 7:41:52pm UTC |
Race Finish |
September 27, 2023 7:43:40pm UTC |
Outcome |
No win (2 of 4) |
Opponents |
1. risns (110.19 wpm)
3. staltmors (83.14 wpm)
|
Accuracy |
97.0% |
Points |
258.17 |
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 took that tool that elphelps usun undwersterstand how a change in one quantity is related to a chnage change in another. How does the speed of a falling orjbject chnage ange as a function of time? How does the level of water in a barrel chnage ahanchachange as a function of the amount of liquid poeured into it. ? We see change occuring ioccurring in nearly everything we observe in the world and univers, ae, and powerful modern instruments helps us help us see more and more. In this section we introduce the ideas of average and instantaneous rates of chnage, change, adn dn shoand show that they are closely related to the slope of a scurve at a point P on the curbve. veve. WE ge give precise deveolopments of these important concepts in the next chapter, fbut for now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the mlimit. THe idhe idea oaf a limit laysplay as a foundational role throughout caluccuyluslus. |
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a |
p |
p |
r |
o |
a |
c |
h |
|
s |
o |
|
y |
Milliseconds |
89 |
90 |
61 |
93 |
81 |
33 |
171 |
46 |
182 |
107 |
85 |
111 |
16 |
152 |
143 |
98 |
76 |
102 |
71 |
63 |
56 |
80 |
73 |
69 |
153 |
Character |
o |
u |
|
w |
i |
l |
l |
|
s |
e |
e |
|
h |
o |
w |
|
t |
h |
e |
y |
|
l |
e |
a |
d |
Milliseconds |
98 |
105 |
32 |
141 |
24 |
52 |
144 |
57 |
84 |
50 |
144 |
53 |
69 |
54 |
45 |
79 |
53 |
110 |
70 |
88 |
71 |
61 |
63 |
49 |
60 |
Character |
|
n |
a |
t |
u |
r |
a |
l |
l |
y |
|
t |
o |
|
t |
h |
e |
|
m |
a |
i |
n |
|
i |
d |
Milliseconds |
83 |
115 |
88 |
79 |
157 |
21 |
153 |
110 |
157 |
70 |
102 |
174 |
85 |
100 |
59 |
96 |
64 |
93 |
39 |
132 |
51 |
60 |
103 |
40 |
55 |
Character |
e |
a |
|
o |
f |
|
t |
h |
i |
s |
|
c |
h |
a |
p |
t |
e |
r |
, |
|
t |
h |
e |
|
m |
Milliseconds |
145 |
57 |
65 |
97 |
56 |
111 |
394 |
39 |
85 |
32 |
103 |
87 |
89 |
98 |
78 |
90 |
85 |
89 |
48 |
107 |
90 |
60 |
91 |
67 |
111 |
Character |
-m |
l |
i |
m |
i |
t |
. |
|
T |
H |
e |
|
i |
d |
-d |
-i |
- |
-e |
-H |
h |
e |
|
i |
d |
e |
Milliseconds |
490 |
181 |
103 |
60 |
137 |
108 |
80 |
71 |
130 |
44 |
113 |
77 |
63 |
30 |
289 |
137 |
128 |
150 |
129 |
161 |
72 |
56 |
54 |
59 |
130 |
Character |
a |
|
o |
a |
-a |
f |
|
a |
|
l |
i |
m |
i |
t |
|
l |
a |
y |
s |
-s |
-y |
-a |
-l |
p |
l |
Milliseconds |
46 |
72 |
42 |
301 |
257 |
57 |
107 |
52 |
153 |
29 |
103 |
51 |
176 |
96 |
84 |
149 |
80 |
86 |
131 |
204 |
145 |
135 |
132 |
188 |
157 |
Character |
a |
y |
|
a |
-a |
- |
s |
|
a |
|
f |
o |
u |
n |
d |
a |
t |
i |
o |
n |
a |
l |
|
r |
o |
Milliseconds |
41 |
66 |
149 |
31 |
411 |
138 |
86 |
60 |
98 |
93 |
65 |
91 |
45 |
119 |
63 |
127 |
80 |
35 |
41 |
40 |
67 |
97 |
86 |
151 |
53 |
Character |
l |
e |
|
t |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
u |
c |
-c |
-u |
c |
u |
y |
l |
Milliseconds |
106 |
97 |
45 |
110 |
110 |
218 |
99 |
95 |
147 |
124 |
117 |
122 |
114 |
93 |
133 |
108 |
68 |
126 |
212 |
325 |
129 |
111 |
52 |
0 |
115 |
Character |
u |
s |
-s |
-u |
-l |
-y |
l |
u |
s |
. |
Milliseconds |
77 |
76 |
202 |
136 |
134 |
137 |
218 |
47 |
90 |
100 |
|
WPM Timing |
Seconds |
WPM |
2.17 |
55.34 |
4.34 |
38.73 |
6.51 |
51.65 |
8.67 |
49.8 |
10.84 |
63.08 |
13.01 |
73.78 |
15.18 |
71.15 |
17.35 |
80.24 |
19.52 |
86.69 |
21.69 |
82.45 |
23.85 |
85.02 |
26.02 |
88.54 |
28.19 |
91.94 |
30.36 |
85.77 |
32.53 |
85.22 |
34.7 |
87.85 |
36.87 |
88.54 |
39.03 |
87.92 |
41.2 |
85.04 |
43.37 |
87.71 |
45.54 |
89.06 |
47.71 |
90.05 |
49.88 |
90.46 |
52.05 |
90.61 |
54.21 |
89.87 |
56.38 |
92.79 |
58.55 |
93.87 |
60.72 |
95.06 |
62.89 |
94.83 |
65.06 |
93.15 |
67.23 |
92.64 |
69.39 |
93.9 |
71.56 |
95.08 |
73.73 |
95.7 |
75.9 |
93.75 |
78.07 |
93.46 |
80.24 |
93.17 |
82.41 |
94.36 |
84.57 |
95.49 |
86.74 |
96.15 |
88.91 |
96.9 |
91.08 |
98.29 |
93.25 |
99.09 |
95.42 |
99.48 |
97.59 |
98.25 |
99.75 |
98.04 |
101.92 |
96.78 |
104.09 |
97.41 |
106.26 |
96.89 |
108.43 |
95.62 |
|