Official speed |
103.65 wpm (100.03 seconds elapsed during race) |
Without ending ping |
103.99 wpm (330 ms delay sending score to TypeRacer’s server) |
Timerless |
104.08 wpm (79 ms elapsed before first character typed; 99.62 seconds elapsed during race) |
Timerless minus one |
103.96 wpm, ignoring the first character typed |
Race Start |
May 8, 2024 1:21:06am UTC |
Race Finish |
May 8, 2024 1:22:46am UTC |
Outcome |
Win (1 of 2) |
Accuracy |
96.8% |
Points |
279.86 |
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 |
acCalculauus is a tool that helps us eununderstand how a hanchange in one quanitttity is related to a change in another. How does the speed of a lfalling object change as af function of time? How does the level of water in a barrenl change as a function of the amount of liquid puredoured into it? We see change occurirring in nearly everything we obsenrve in the world and universe, and powerful modern insturruments help us see more and more. In this section we introduce the ideas of average and instantatneous rates of change, and show that they are closely realtelated to the slope of a cruveurve at a point P on the curevve . We give precise developments of these important concepts in the next chapter, but for now we use an infomrrmal appraocoach so you will see how they lead naturally to thte e main diea idea of this cahapter, the limit. The idea of a liimit play s as a foundational raoole throughout calculus. |
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51 |
67 |
66 |
87 |
115 |
235 |
268 |
115 |
94 |
46 |
79 |
103 |
61 |
82 |
Character |
y |
|
s |
|
a |
-a |
- |
-s |
- |
s |
|
a |
|
f |
o |
u |
n |
d |
a |
t |
i |
o |
n |
a |
l |
Milliseconds |
106 |
64 |
52 |
168 |
48 |
161 |
125 |
134 |
127 |
85 |
93 |
71 |
107 |
110 |
123 |
78 |
148 |
46 |
104 |
84 |
66 |
46 |
105 |
299 |
89 |
Character |
|
r |
a |
o |
-o |
-a |
o |
l |
e |
|
t |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
c |
Milliseconds |
96 |
102 |
83 |
104 |
193 |
120 |
131 |
116 |
62 |
102 |
52 |
57 |
108 |
31 |
53 |
124 |
100 |
140 |
70 |
237 |
169 |
273 |
107 |
134 |
100 |
Character |
u |
l |
u |
s |
. |
Milliseconds |
102 |
119 |
260 |
103 |
95 |
|
WPM Timing |
Seconds |
WPM |
2 |
35.99 |
4 |
71.98 |
6 |
79.98 |
8 |
80.98 |
10 |
82.78 |
12 |
87.97 |
14 |
95.97 |
16 |
97.47 |
18.01 |
96.64 |
20.01 |
95.97 |
22.01 |
96.52 |
24.01 |
99.47 |
26.01 |
100.59 |
28.01 |
104.11 |
30.01 |
105.17 |
32.01 |
102.72 |
34.01 |
103.38 |
36.01 |
103.3 |
38.01 |
104.18 |
40.01 |
104.97 |
42.01 |
105.68 |
44.01 |
104.97 |
46.01 |
104.84 |
48.01 |
106.97 |
50.01 |
106.29 |
52.02 |
107.28 |
54.02 |
107.08 |
56.02 |
106.68 |
58.02 |
108.18 |
60.02 |
107.57 |
62.02 |
108.74 |
64.02 |
106.66 |
66.02 |
106.15 |
68.02 |
104.62 |
70.02 |
105.57 |
72.02 |
106.3 |
74.02 |
107.32 |
76.02 |
107.81 |
78.02 |
107.51 |
80.02 |
106.17 |
82.02 |
105.77 |
84.02 |
106.83 |
86.02 |
106.71 |
88.03 |
104.97 |
90.03 |
104.64 |
92.03 |
105.36 |
94.03 |
104.91 |
96.03 |
104.47 |
98.03 |
104.42 |
100.03 |
103.65 |
|