Official speed |
87.62 wpm (118.33 seconds elapsed during race) |
Without ending ping |
87.82 wpm (273 ms delay sending score to TypeRacer’s server) |
Timerless |
88.42 wpm (803 ms elapsed before first character typed; 117.25 seconds elapsed during race) |
Timerless minus one |
88.32 wpm, ignoring the first character typed |
Race Start |
March 2, 2024 10:34:45pm UTC |
Race Finish |
March 2, 2024 10:36:43pm UTC |
Outcome |
Win (1 of 4) |
Opponents |
2. deeptrout (82.46 wpm)
|
Accuracy |
97.9% |
Points |
236.57 |
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 |
CAlalculus is a tool that helps us understand how a change in one qunaantity is related to ach change in another. How does the speed of a falling object change as a function of time? How does the level of waster in a barrel change as a functiopn n of the amount of liquid poured intio it? WE se see change occurring in nearly everything we observe in the world and universe, and powerful modern instruments helkpp us see more and more. In this section we introduce the ideas of average and instanteaneous rate of s es of change, asnnd show that thaey are closely related to the slope of a curve at a point P on the curve. W ee give [rpreceiise developments of these important concepts in thenn next chapter, but for now we used an informal approach wso you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foudandational role throughout calculus. |
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158 |
92 |
99 |
82 |
85 |
110 |
183 |
84 |
62 |
150 |
Character |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
c |
u |
l |
u |
s |
. |
Milliseconds |
104 |
78 |
82 |
74 |
35 |
118 |
138 |
62 |
65 |
40 |
197 |
87 |
178 |
223 |
123 |
196 |
190 |
78 |
144 |
|
WPM Timing |
Seconds |
WPM |
2.37 |
10.14 |
4.73 |
45.64 |
7.1 |
74.37 |
9.47 |
81.13 |
11.83 |
80.12 |
14.2 |
76.06 |
16.57 |
81.13 |
18.93 |
86.2 |
21.3 |
89.58 |
23.67 |
90.26 |
26.03 |
92.65 |
28.4 |
92.12 |
30.77 |
92.05 |
33.13 |
91.27 |
35.5 |
90.26 |
37.87 |
88.42 |
40.23 |
86.8 |
42.6 |
88.74 |
44.97 |
90.2 |
47.33 |
91.52 |
49.7 |
91.51 |
52.06 |
91.27 |
54.43 |
91.71 |
56.8 |
91.9 |
59.16 |
92.89 |
61.53 |
93.81 |
63.9 |
92.21 |
66.26 |
89.82 |
68.63 |
88.65 |
71 |
88.74 |
73.36 |
89.47 |
75.73 |
89.84 |
78.1 |
89.58 |
80.46 |
89.18 |
82.83 |
87.94 |
85.2 |
86.9 |
87.56 |
87.16 |
89.93 |
87.8 |
92.3 |
86.85 |
94.66 |
87.21 |
97.03 |
86.94 |
99.4 |
86.68 |
101.76 |
86.55 |
104.13 |
87.01 |
106.5 |
87.55 |
108.86 |
87.96 |
111.23 |
87.93 |
113.6 |
87.57 |
115.96 |
87.55 |
118.33 |
87.62 |
|