Official speed |
79.95 wpm (129.68 seconds elapsed during race) |
Without ending ping |
79.99 wpm (70 ms delay sending score to TypeRacer’s server) |
Timerless |
80.34 wpm (560 ms elapsed before first character typed; 129.05 seconds elapsed during race) |
Timerless minus one |
80.25 wpm, ignoring the first character typed |
Race Start |
February 26, 2025 11:26:07pm UTC |
Race Finish |
February 26, 2025 11:28:17pm UTC |
Outcome |
No win (5 of 5) |
Opponents |
2. trainguyen2402 (101.39 wpm)
3. epic_procrastinator (99.87 wpm)
|
Accuracy |
95.2% |
Points |
215.87 |
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 |
calcCalcullusus is at tool that helps us understand how a change in one quantity is related to a change in another. how dHow does the pseespeed of a falling object change as a funcionction of time?> How dows eses the level of water in a bArrarrel; change as a fucntioncnction of the amount of liqwuuid pouried into it>? W We see change occuring ring in nearluy everything we observe in the world and uyniv=niverse, and powerful modern instruments help us see more and more. In this ecsection we uiintroduce the iedadeas of average and instantaneous rates of change, and show that they are closely relatoeded to the lsope slope of a curve at a [popoint P{ on the curve. We give precise devel;op[oopments opthff these important concepcts in the nmenext chapter, but for now we use an informal appreoacroach so you willl s see how they elad an;eadleadf antunaturraalally to the main indeadea of this chapter, the limi.t t. The idea of a limit plays a foundtaionational role throughout calcuylllus. |
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s |
o |
|
y |
o |
u |
|
w |
i |
l |
l |
l |
|
s |
-s |
- |
-l |
|
s |
e |
Milliseconds |
93 |
95 |
69 |
76 |
68 |
103 |
75 |
88 |
82 |
61 |
100 |
52 |
75 |
73 |
39 |
140 |
111 |
210 |
34 |
238 |
107 |
132 |
86 |
45 |
163 |
Character |
e |
|
h |
o |
w |
|
t |
h |
e |
y |
|
e |
l |
a |
d |
|
a |
n |
-n |
-a |
- |
-d |
-a |
-l |
-e |
Milliseconds |
135 |
90 |
72 |
50 |
71 |
52 |
105 |
64 |
116 |
62 |
55 |
104 |
27 |
49 |
107 |
57 |
96 |
0 |
206 |
110 |
113 |
116 |
121 |
122 |
133 |
Character |
; |
e |
a |
d |
-d |
-a |
-e |
-; |
l |
e |
a |
d |
f |
|
- |
-f |
|
a |
n |
t |
u |
-u |
-t |
-n |
-a |
Milliseconds |
153 |
95 |
40 |
90 |
123 |
117 |
129 |
133 |
144 |
94 |
66 |
80 |
0 |
37 |
236 |
116 |
161 |
113 |
29 |
168 |
117 |
191 |
109 |
123 |
139 |
Character |
n |
a |
t |
u |
r |
r |
a |
-a |
a |
l |
-l |
-a |
-r |
a |
l |
l |
y |
|
t |
o |
|
t |
h |
e |
|
Milliseconds |
232 |
141 |
99 |
35 |
684 |
130 |
99 |
217 |
98 |
100 |
264 |
115 |
292 |
130 |
119 |
132 |
93 |
80 |
137 |
60 |
69 |
156 |
54 |
85 |
59 |
Character |
m |
a |
i |
n |
|
i |
n |
d |
e |
a |
-a |
-e |
-d |
-n |
d |
e |
a |
|
o |
f |
|
t |
h |
i |
s |
Milliseconds |
77 |
56 |
72 |
75 |
72 |
82 |
55 |
38 |
80 |
59 |
268 |
101 |
121 |
136 |
97 |
81 |
55 |
109 |
106 |
104 |
100 |
166 |
60 |
71 |
56 |
Character |
|
c |
h |
a |
p |
t |
e |
r |
, |
|
t |
h |
e |
|
l |
i |
m |
i |
. |
t |
|
- |
-t |
-. |
t |
Milliseconds |
53 |
108 |
96 |
15 |
131 |
91 |
72 |
105 |
81 |
58 |
93 |
74 |
84 |
64 |
155 |
86 |
93 |
88 |
268 |
126 |
130 |
193 |
116 |
126 |
141 |
Character |
. |
|
T |
h |
e |
|
i |
d |
e |
a |
|
o |
f |
|
a |
|
l |
i |
m |
i |
t |
|
p |
l |
a |
Milliseconds |
101 |
118 |
258 |
56 |
105 |
68 |
38 |
95 |
100 |
70 |
113 |
66 |
78 |
124 |
53 |
92 |
15 |
90 |
99 |
101 |
432 |
118 |
85 |
77 |
109 |
Character |
y |
s |
|
a |
|
f |
o |
u |
n |
d |
t |
a |
i |
o |
n |
-n |
-o |
-i |
-a |
-t |
a |
t |
i |
o |
n |
Milliseconds |
108 |
76 |
96 |
77 |
146 |
78 |
66 |
51 |
42 |
32 |
167 |
85 |
57 |
56 |
72 |
267 |
108 |
130 |
129 |
129 |
119 |
73 |
104 |
80 |
79 |
Character |
a |
l |
|
r |
o |
l |
e |
|
t |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
c |
u |
y |
Milliseconds |
110 |
90 |
110 |
134 |
64 |
76 |
134 |
65 |
70 |
117 |
70 |
586 |
46 |
102 |
859 |
77 |
68 |
89 |
108 |
91 |
112 |
72 |
130 |
32 |
30 |
Character |
l |
l |
-l |
-l |
-y |
l |
u |
s |
. |
Milliseconds |
103 |
285 |
404 |
552 |
127 |
182 |
71 |
151 |
117 |
|
WPM Timing |
Seconds |
WPM |
2.59 |
27.76 |
5.19 |
37.01 |
7.78 |
75.57 |
10.37 |
84.44 |
12.97 |
95.31 |
15.56 |
88.68 |
18.16 |
86.59 |
20.75 |
90.22 |
23.34 |
86.37 |
25.94 |
84.67 |
28.53 |
80.76 |
31.12 |
81.35 |
33.72 |
81.86 |
36.31 |
77.66 |
38.9 |
79.58 |
41.5 |
79.81 |
44.09 |
75.39 |
46.69 |
72.49 |
49.28 |
73.05 |
51.87 |
72.87 |
54.47 |
74.91 |
57.06 |
74.03 |
59.65 |
75.84 |
62.25 |
77.31 |
64.84 |
79.21 |
67.43 |
78.65 |
70.03 |
79 |
72.62 |
79.98 |
75.22 |
82.48 |
77.81 |
83.44 |
80.4 |
82.24 |
83 |
82.85 |
85.59 |
81.32 |
88.18 |
82.74 |
90.78 |
81.56 |
93.37 |
81.48 |
95.96 |
82.16 |
98.56 |
81.7 |
101.15 |
83.16 |
103.74 |
82.82 |
106.34 |
83.28 |
108.93 |
81.74 |
111.53 |
80.38 |
114.12 |
79.81 |
116.71 |
80.2 |
119.31 |
80.16 |
121.9 |
80.92 |
124.49 |
80.87 |
127.09 |
80.64 |
129.68 |
79.95 |
|