| Official speed |
90.94 wpm (114.01 seconds elapsed during race) |
| Without ending ping |
91.31 wpm (467 ms delay sending score to TypeRacer’s server) |
| Timerless |
91.47 wpm (197 ms elapsed before first character typed; 113.35 seconds elapsed during race) |
| Timerless minus one |
91.37 wpm, ignoring the first character typed |
| Race Start |
November 14, 2024 6:51:18pm UTC |
| Race Finish |
November 14, 2024 6:53:12pm UTC |
| Outcome |
No win (2 of 2) |
| Opponents |
1. mattymarsh (116.35 wpm)
|
| Accuracy |
96.7% |
| Points |
245.54 |
| 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 howe a a change in one quantity is related to a change in another. How does the speed of a falling object chagne change as f a function at of time? How does the level of weatewater ina . a bareerel change as a funtction of the amount of liquied d pourdeded into it? WSe e see change occurring in nearly everything we obsevrve in the world and universe, and powerful modern instruments hlp9elp us see more an dmod moe. re. In this section we introduce the ideas of average and instanteaneous rates of chagne,nge, and show that they are closely related to the slop e of a uccuvrve at a point P on the curve. We give precise deelovelopment os of these important concepts in the next chatppter, but for now we use an informal approach so yiou will see how they lead naturally to the main idea of this chapter, the lkiimit. The idea of a limit palylays a foundational role throughout calculus. |
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t |
e |
r |
, |
|
t |
h |
e |
|
l |
k |
i |
-i |
-k |
i |
| Milliseconds |
70 |
117 |
24 |
107 |
73 |
81 |
120 |
45 |
133 |
102 |
56 |
164 |
29 |
42 |
74 |
91 |
75 |
70 |
38 |
144 |
145 |
239 |
230 |
120 |
200 |
| Character |
m |
i |
t |
. |
|
T |
h |
e |
|
i |
d |
e |
a |
|
o |
f |
|
a |
|
l |
i |
m |
i |
t |
|
| Milliseconds |
149 |
150 |
100 |
101 |
32 |
109 |
104 |
104 |
32 |
77 |
107 |
167 |
90 |
65 |
64 |
68 |
95 |
53 |
99 |
140 |
176 |
157 |
144 |
60 |
73 |
| Character |
p |
a |
l |
y |
-y |
-l |
-a |
l |
a |
y |
s |
|
a |
|
f |
o |
u |
n |
d |
a |
t |
i |
o |
n |
a |
| Milliseconds |
99 |
139 |
32 |
203 |
214 |
135 |
127 |
184 |
66 |
134 |
100 |
156 |
112 |
96 |
104 |
82 |
101 |
148 |
52 |
66 |
109 |
24 |
75 |
77 |
132 |
| Character |
l |
|
r |
o |
l |
e |
|
t |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
c |
u |
l |
u |
| Milliseconds |
74 |
126 |
130 |
100 |
167 |
65 |
104 |
71 |
72 |
107 |
51 |
514 |
79 |
102 |
122 |
106 |
11 |
124 |
292 |
54 |
95 |
117 |
75 |
128 |
162 |
| Character |
s |
. |
| Milliseconds |
76 |
77 |
|
| WPM Timing |
| Seconds |
WPM |
2.28 |
73.68 |
4.56 |
92.1 |
6.84 |
85.96 |
9.12 |
90.78 |
11.4 |
91.57 |
13.68 |
99.99 |
15.96 |
101.5 |
18.24 |
96.7 |
20.52 |
92.97 |
22.8 |
92.1 |
25.08 |
93.77 |
27.36 |
90.78 |
29.64 |
86.63 |
31.92 |
87.21 |
34.2 |
88.41 |
36.48 |
86.84 |
38.76 |
85.44 |
41.04 |
84.2 |
43.32 |
85.87 |
45.6 |
86.84 |
47.88 |
87.96 |
50.16 |
88.51 |
52.44 |
89.47 |
54.72 |
87.49 |
57 |
86.73 |
59.28 |
86.03 |
61.56 |
86.54 |
63.85 |
86.84 |
66.13 |
87.29 |
68.41 |
87.19 |
70.69 |
86.75 |
72.97 |
88.32 |
75.25 |
88.51 |
77.53 |
87.3 |
79.81 |
87.96 |
82.09 |
88.59 |
84.37 |
87.76 |
86.65 |
87.11 |
88.93 |
87.31 |
91.21 |
87.76 |
93.49 |
88.05 |
95.77 |
88.84 |
98.05 |
88.98 |
100.33 |
90.06 |
102.61 |
90.4 |
104.89 |
90.61 |
107.17 |
91.15 |
109.45 |
90.56 |
111.73 |
91.08 |
114.01 |
90.94 |
|