Official speed |
87.24 wpm (118.84 seconds elapsed during race) |
Without ending ping |
87.24 wpm (2 ms delay sending score to TypeRacer’s server) |
Timerless |
87.58 wpm (454 ms elapsed before first character typed; 118.39 seconds elapsed during race) |
Timerless minus one |
87.47 wpm, ignoring the first character typed |
Race Start |
November 19, 2023 7:46:57am UTC |
Race Finish |
November 19, 2023 7:48:56am UTC |
Outcome |
No win (3 of 5) |
Opponents |
1. neko_kat (113.16 wpm)
2. wlkvr (94.52 wpm)
4. smileyyy___ (78.85 wpm)
|
Accuracy |
94.9% |
Points |
235.54 |
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 |
Calcucllus is a tool that helps us aununderstand how acha change in one wquantity is realtelated to a change in antoherother. How does the speed of a falling object change as a funciton tion of time? How does hte lethe level fo watof water in ab ar barrel change as a functio nnof hn of the amount of liquid poured in tto it ?t? We see change occuring inring in enearly everything we observe in the world and universe, andd pwo powerufl ful modern instruments help us see more andd more m more. IN TIn this section we introudecduce th ie e ideas of average and instantaneous rates of change, and show that they are closely related to hethe slope of a curve at a pooint P on the curve. wE wwWe giev prve precise deveoplopments of these important concepts in the next chapte,r brer, but offor now ewe use an informal appraochoacroach s o y i o you will see h wow the yelyy lead naturally to the main idae of ea of this chapter, the limttiit. The lidea of a limit plays a foundational role throughout calculus. |
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o |
r |
|
n |
o |
w |
|
e |
-e |
w |
e |
|
u |
s |
e |
|
a |
n |
|
i |
n |
f |
o |
r |
m |
Milliseconds |
45 |
105 |
57 |
49 |
122 |
22 |
90 |
191 |
198 |
63 |
55 |
84 |
47 |
107 |
127 |
99 |
155 |
104 |
118 |
79 |
43 |
158 |
65 |
99 |
48 |
Character |
a |
l |
|
a |
p |
p |
r |
a |
o |
c |
h |
-h |
-c |
-o |
-a |
-r |
o |
a |
c |
-c |
-a |
-o |
r |
o |
a |
Milliseconds |
98 |
118 |
35 |
290 |
37 |
129 |
55 |
119 |
6 |
180 |
66 |
186 |
178 |
94 |
85 |
96 |
83 |
77 |
86 |
157 |
125 |
83 |
71 |
89 |
57 |
Character |
c |
h |
|
s |
|
o |
|
y |
-y |
- |
-o |
- |
|
i |
-i |
- |
|
- |
o |
|
y |
o |
u |
|
w |
Milliseconds |
149 |
44 |
48 |
117 |
137 |
32 |
142 |
10 |
252 |
188 |
102 |
96 |
283 |
441 |
335 |
349 |
315 |
222 |
174 |
143 |
82 |
165 |
51 |
56 |
70 |
Character |
i |
l |
l |
|
s |
e |
e |
|
h |
|
w |
-w |
- |
o |
w |
|
t |
h |
e |
|
y |
e |
l |
-l |
-e |
Milliseconds |
361 |
167 |
135 |
28 |
84 |
26 |
156 |
17 |
138 |
95 |
271 |
180 |
137 |
120 |
85 |
49 |
111 |
65 |
73 |
62 |
25 |
258 |
10 |
164 |
182 |
Character |
-y |
y |
-y |
- |
y |
|
l |
e |
a |
d |
|
n |
a |
t |
u |
r |
a |
l |
l |
y |
|
t |
o |
|
t |
Milliseconds |
102 |
301 |
249 |
127 |
147 |
114 |
100 |
41 |
78 |
61 |
47 |
121 |
53 |
169 |
63 |
96 |
76 |
70 |
108 |
151 |
62 |
72 |
78 |
53 |
63 |
Character |
h |
e |
|
m |
a |
i |
n |
|
i |
d |
a |
e |
|
o |
f |
|
- |
-f |
-o |
- |
-e |
-a |
e |
a |
|
Milliseconds |
42 |
76 |
79 |
98 |
74 |
30 |
88 |
41 |
119 |
82 |
171 |
13 |
44 |
107 |
60 |
101 |
104 |
101 |
157 |
98 |
109 |
95 |
86 |
56 |
50 |
Character |
o |
f |
|
t |
h |
i |
s |
|
c |
h |
a |
p |
t |
e |
r |
, |
|
t |
h |
e |
|
l |
i |
m |
t |
Milliseconds |
143 |
100 |
58 |
116 |
21 |
73 |
75 |
60 |
154 |
19 |
280 |
129 |
139 |
74 |
120 |
55 |
43 |
100 |
41 |
108 |
54 |
24 |
185 |
40 |
122 |
Character |
-t |
t |
i |
-i |
-t |
i |
t |
. |
|
T |
h |
e |
|
l |
-l |
i |
d |
e |
a |
|
o |
f |
|
a |
|
Milliseconds |
371 |
235 |
59 |
264 |
118 |
99 |
96 |
136 |
153 |
72 |
159 |
101 |
66 |
92 |
191 |
106 |
75 |
94 |
15 |
36 |
71 |
54 |
86 |
44 |
123 |
Character |
l |
i |
m |
i |
t |
|
p |
l |
a |
y |
s |
|
a |
|
f |
o |
u |
n |
d |
a |
t |
i |
o |
n |
a |
Milliseconds |
29 |
257 |
406 |
253 |
90 |
62 |
251 |
38 |
56 |
168 |
59 |
57 |
45 |
108 |
38 |
63 |
163 |
36 |
43 |
121 |
76 |
17 |
146 |
111 |
70 |
Character |
l |
|
r |
o |
l |
e |
|
t |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
c |
u |
l |
u |
Milliseconds |
77 |
86 |
90 |
58 |
151 |
15 |
87 |
38 |
48 |
129 |
50 |
118 |
115 |
20 |
155 |
75 |
7 |
95 |
142 |
106 |
85 |
79 |
99 |
183 |
107 |
Character |
s |
. |
Milliseconds |
50 |
116 |
|
WPM Timing |
Seconds |
WPM |
2.38 |
70.68 |
4.75 |
83.3 |
7.13 |
82.46 |
9.51 |
78.25 |
11.88 |
78.76 |
14.26 |
84.98 |
16.64 |
84.38 |
19.02 |
90.87 |
21.39 |
91.44 |
23.77 |
90.87 |
26.15 |
89.96 |
28.52 |
87.93 |
30.9 |
88.16 |
33.28 |
85.11 |
35.65 |
89.19 |
38.03 |
86.77 |
40.41 |
87.61 |
42.78 |
85.55 |
45.16 |
89.55 |
47.54 |
91.88 |
49.91 |
88.95 |
52.29 |
89.27 |
54.67 |
90.66 |
57.05 |
88.35 |
59.42 |
87.44 |
61.8 |
87.57 |
64.18 |
86.57 |
66.55 |
88.17 |
68.93 |
90 |
71.31 |
91.88 |
73.68 |
91.85 |
76.06 |
91.82 |
78.44 |
91.03 |
80.81 |
89.09 |
83.19 |
88.28 |
85.57 |
87.37 |
87.95 |
89.1 |
90.32 |
88.88 |
92.7 |
88.67 |
95.08 |
89.23 |
97.45 |
87.92 |
99.83 |
85.83 |
102.21 |
85.71 |
104.58 |
84.45 |
106.96 |
85.83 |
109.34 |
85.61 |
111.71 |
85.29 |
114.09 |
85.62 |
116.47 |
86.24 |
118.84 |
87.24 |
|