Official speed |
98.36 wpm (105.41 seconds elapsed during race) |
Without ending ping |
98.48 wpm (125 ms delay sending score to TypeRacer’s server) |
Timerless |
98.80 wpm (345 ms elapsed before first character typed; 104.94 seconds elapsed during race) |
Timerless minus one |
98.69 wpm, ignoring the first character typed |
Race Start |
December 24, 2023 11:19:51pm UTC |
Race Finish |
December 24, 2023 11:21:36pm UTC |
Outcome |
Win (1 of 3) |
Accuracy |
96.9% |
Points |
265.58 |
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 chnage iange in one quantity is related to a chnage ange in another. How does the speed of a falling object change as a function of time? Hod ew does the level of water in a barrel change as a function of the amount of luqiquid poruedured into it? We see change cooccurring in vnearly everything we observe in the world na and universe, and powerful modern instruments help us see more and more. In this aseconttion we introduce th e ideas of avraerage and instantaenoenouneous rates of change, and show tha ttheyt they are closely related to the slope of a curve at a ponit int P on the curve. We give pricecise developments of these important concepts in the next chapter, but for now we use an informal approach so you will see how thyeey lead naturally to the main idea of this chapter, the limit. The idea of a liimimit plays a foundational role throughout claalculus. |
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84 |
19 |
85 |
82 |
119 |
55 |
107 |
84 |
64 |
181 |
0 |
161 |
Character |
-i |
-m |
-i |
m |
i |
t |
|
p |
l |
a |
y |
s |
|
a |
|
f |
o |
u |
n |
d |
a |
t |
i |
o |
n |
Milliseconds |
324 |
163 |
159 |
163 |
51 |
68 |
80 |
23 |
104 |
78 |
109 |
194 |
178 |
65 |
125 |
101 |
99 |
24 |
171 |
40 |
106 |
65 |
85 |
20 |
75 |
Character |
a |
l |
|
r |
o |
l |
e |
|
t |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
l |
a |
-a |
-l |
a |
Milliseconds |
168 |
127 |
116 |
126 |
52 |
152 |
66 |
94 |
63 |
76 |
97 |
49 |
87 |
53 |
84 |
102 |
58 |
122 |
66 |
213 |
149 |
199 |
285 |
144 |
74 |
Character |
l |
c |
u |
l |
u |
s |
. |
Milliseconds |
145 |
183 |
60 |
163 |
82 |
100 |
82 |
|
WPM Timing |
Seconds |
WPM |
2.11 |
62.61 |
4.22 |
96.77 |
6.32 |
98.66 |
8.43 |
93.92 |
10.54 |
93.35 |
12.65 |
86.33 |
14.76 |
93.51 |
16.87 |
98.9 |
18.97 |
99.3 |
21.08 |
100.75 |
23.19 |
96.77 |
25.3 |
98.19 |
27.41 |
99.83 |
29.51 |
101.65 |
31.62 |
100.18 |
33.73 |
98.19 |
35.84 |
97.77 |
37.95 |
96.45 |
40.06 |
96.47 |
42.16 |
97.62 |
44.27 |
96.22 |
46.38 |
98.06 |
48.49 |
99.74 |
50.6 |
101.51 |
52.7 |
99.95 |
54.81 |
99.61 |
56.92 |
98.87 |
59.03 |
97.99 |
61.14 |
94.61 |
63.25 |
95.44 |
65.35 |
94.93 |
67.46 |
95.7 |
69.57 |
96.77 |
71.68 |
96.26 |
73.79 |
95.79 |
75.89 |
95.66 |
78 |
95.23 |
80.11 |
96.17 |
82.22 |
96.91 |
84.33 |
97.76 |
86.44 |
98.15 |
88.54 |
98.8 |
90.65 |
98.22 |
92.76 |
98.71 |
94.87 |
98.41 |
96.98 |
98.37 |
99.08 |
98.58 |
101.19 |
98.31 |
103.3 |
99.09 |
105.41 |
98.36 |
|