Official speed |
84.68 wpm (122.44 seconds elapsed during race) |
Without ending ping |
84.93 wpm (356 ms delay sending score to TypeRacer’s server) |
Timerless |
85.28 wpm (501 ms elapsed before first character typed; 121.58 seconds elapsed during race) |
Timerless minus one |
85.18 wpm, ignoring the first character typed |
Race Start |
December 21, 2023 5:03:52pm UTC |
Race Finish |
December 21, 2023 5:05:54pm UTC |
Outcome |
No win (3 of 5) |
Opponents |
1. jackcct (96.64 wpm)
|
Accuracy |
98.0% |
Points |
228.64 |
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 change in one quantitiy iy is related to a change in another. How does the speed of falla 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 porured into it? We see change occuring ring in nearly everything we uobserve in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the idea of s of average and instantaneous rates of change, and show that htthey are closely related to the solope of a currsve at a point P on the curve. We vgive precise developmets nts of these important cocepncepts in the necxt chapter, but for now we use ani n informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. the The idea of a limit plays a foundational role trhhroughout calculus. |
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74 |
119 |
170 |
80 |
116 |
172 |
109 |
256 |
138 |
Character |
r |
h |
-h |
-r |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
c |
u |
l |
u |
s |
. |
Milliseconds |
249 |
130 |
357 |
93 |
226 |
369 |
74 |
71 |
136 |
114 |
212 |
47 |
59 |
121 |
175 |
124 |
80 |
174 |
59 |
178 |
129 |
84 |
97 |
|
WPM Timing |
Seconds |
WPM |
2.45 |
68.61 |
4.9 |
90.66 |
7.35 |
99.64 |
9.79 |
86.98 |
12.24 |
90.17 |
14.69 |
93.11 |
17.14 |
91.01 |
19.59 |
88.82 |
22.04 |
88.75 |
24.49 |
85.76 |
26.94 |
84.64 |
29.38 |
86.17 |
31.83 |
87.08 |
34.28 |
87.16 |
36.73 |
86.25 |
39.18 |
85.15 |
41.63 |
85.61 |
44.08 |
82.49 |
46.53 |
83.82 |
48.97 |
83.55 |
51.42 |
84.71 |
53.87 |
85.09 |
56.32 |
85.44 |
58.77 |
86.17 |
61.22 |
86.25 |
63.67 |
86.14 |
66.12 |
85.67 |
68.56 |
85.58 |
71.01 |
86.69 |
73.46 |
86.57 |
75.91 |
87.26 |
78.36 |
86.37 |
80.81 |
86.43 |
83.26 |
86.19 |
85.71 |
86.39 |
88.15 |
85.62 |
90.6 |
85.43 |
93.05 |
85.24 |
95.5 |
84.94 |
97.95 |
85.02 |
100.4 |
84.26 |
102.85 |
84.59 |
105.3 |
85.25 |
107.74 |
85.76 |
110.19 |
86.36 |
112.64 |
85.01 |
115.09 |
84.87 |
117.54 |
85.35 |
119.99 |
84.61 |
122.44 |
84.68 |
|