Official speed |
84.90 wpm (122.12 seconds elapsed during race) |
Without ending ping |
85.07 wpm (237 ms delay sending score to TypeRacer’s server) |
Timerless |
85.36 wpm (418 ms elapsed before first character typed; 121.47 seconds elapsed during race) |
Timerless minus one |
85.26 wpm, ignoring the first character typed |
Race Start |
April 26, 2024 3:48:47am UTC |
Race Finish |
April 26, 2024 3:50:49am UTC |
Outcome |
No win (3 of 4) |
Accuracy |
94.6% |
Points |
229.24 |
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 too,d ll that helps us understand how a chane ige in one qunaantiyti ty is r ealelated to ca a a chchanve inge in anothe.r Hr. How coedoes the speed of a falling obnjeject hchange a sa s a function of time? How does the level of water ina a barrel change as a function of the amount of liquid puroruediured into it? We see change occuring irin ig in knnearly efvverything we observe in the word and world an dd univreserrse, and power frful modern instruments thhelp use e see more and more. In this section we introduce the ideas of average and insstantaneous rates of change, and show that they are closely related to the slope of a cruvurve a at t a point P on the curseve. We give prescise developemements of thse sese important concepts in the next chpaapeteter, but for now e uwe use an infroormal approach dsoso you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limite pla playas s af foudndational role thougroughout calculus. |
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|
a |
n |
|
i |
n |
f |
r |
Milliseconds |
77 |
49 |
48 |
56 |
82 |
20 |
192 |
86 |
226 |
123 |
0 |
153 |
65 |
58 |
108 |
66 |
69 |
56 |
109 |
73 |
85 |
85 |
88 |
79 |
149 |
Character |
o |
-o |
-r |
o |
r |
m |
a |
l |
|
a |
p |
p |
r |
o |
a |
c |
h |
|
d |
s |
o |
-d |
-s |
-o |
s |
Milliseconds |
79 |
360 |
116 |
169 |
59 |
109 |
86 |
81 |
26 |
140 |
73 |
116 |
63 |
121 |
92 |
122 |
95 |
170 |
169 |
42 |
90 |
277 |
0 |
0 |
197 |
Character |
o |
|
y |
o |
u |
|
w |
i |
l |
l |
|
s |
e |
e |
|
h |
o |
w |
|
t |
h |
e |
y |
|
l |
Milliseconds |
70 |
95 |
82 |
42 |
102 |
4 |
76 |
79 |
154 |
136 |
32 |
49 |
69 |
130 |
127 |
100 |
35 |
555 |
94 |
150 |
34 |
135 |
20 |
102 |
52 |
Character |
e |
a |
d |
|
n |
a |
t |
u |
r |
a |
l |
l |
y |
|
t |
o |
|
t |
h |
e |
|
m |
a |
i |
n |
Milliseconds |
69 |
131 |
115 |
52 |
79 |
89 |
100 |
145 |
109 |
147 |
57 |
133 |
87 |
51 |
118 |
84 |
65 |
97 |
71 |
74 |
44 |
156 |
140 |
104 |
114 |
Character |
|
i |
d |
e |
a |
|
o |
f |
|
t |
h |
i |
s |
|
c |
h |
a |
p |
t |
e |
r |
, |
|
t |
h |
Milliseconds |
51 |
121 |
78 |
145 |
71 |
85 |
148 |
100 |
51 |
110 |
46 |
83 |
53 |
58 |
165 |
86 |
117 |
48 |
108 |
143 |
65 |
58 |
82 |
76 |
46 |
Character |
e |
|
l |
i |
m |
i |
t |
. |
|
T |
h |
e |
|
i |
d |
e |
a |
|
o |
f |
|
a |
|
l |
i |
Milliseconds |
75 |
81 |
85 |
105 |
163 |
147 |
118 |
124 |
114 |
93 |
92 |
31 |
63 |
165 |
144 |
404 |
107 |
116 |
123 |
63 |
53 |
78 |
112 |
261 |
115 |
Character |
m |
i |
t |
e |
|
p |
l |
a |
-a |
-l |
-p |
- |
-e |
|
p |
l |
a |
y |
a |
s |
|
- |
-s |
-a |
s |
Milliseconds |
155 |
129 |
57 |
54 |
57 |
81 |
128 |
95 |
165 |
138 |
147 |
143 |
141 |
101 |
116 |
118 |
100 |
36 |
105 |
151 |
13 |
201 |
144 |
136 |
67 |
Character |
|
a |
f |
-f |
|
f |
o |
u |
d |
-d |
n |
d |
a |
t |
i |
o |
n |
a |
l |
|
r |
o |
l |
e |
|
Milliseconds |
96 |
115 |
39 |
407 |
140 |
122 |
79 |
51 |
190 |
368 |
153 |
62 |
123 |
70 |
83 |
18 |
82 |
196 |
101 |
34 |
93 |
74 |
141 |
57 |
53 |
Character |
t |
h |
o |
u |
g |
-g |
-u |
-o |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
c |
u |
l |
u |
s |
Milliseconds |
99 |
34 |
39 |
178 |
70 |
205 |
131 |
127 |
69 |
104 |
62 |
119 |
16 |
113 |
75 |
24 |
60 |
160 |
109 |
123 |
133 |
87 |
102 |
131 |
97 |
Character |
. |
Milliseconds |
63 |
|
WPM Timing |
Seconds |
WPM |
2.44 |
83.52 |
4.88 |
76.15 |
7.33 |
88.44 |
9.77 |
82.3 |
12.21 |
75.66 |
14.65 |
72.88 |
17.1 |
67.38 |
19.54 |
68.17 |
21.98 |
71.51 |
24.42 |
72.22 |
26.87 |
71.02 |
29.31 |
74.93 |
31.75 |
77.48 |
34.19 |
77.21 |
36.64 |
81.23 |
39.08 |
80.76 |
41.52 |
78.61 |
43.96 |
79.16 |
46.41 |
77.58 |
48.85 |
76.89 |
51.29 |
79.08 |
53.73 |
77.94 |
56.18 |
76.26 |
58.62 |
76.15 |
61.06 |
77.24 |
63.5 |
76.15 |
65.94 |
78.61 |
68.39 |
80.19 |
70.83 |
80.81 |
73.27 |
80.9 |
75.71 |
82.89 |
78.16 |
84.14 |
80.6 |
83.82 |
83.04 |
82.95 |
85.48 |
82.96 |
87.93 |
83.11 |
90.37 |
82.86 |
92.81 |
82.62 |
95.25 |
83.4 |
97.7 |
82.54 |
100.14 |
83.16 |
102.58 |
83.29 |
105.02 |
83.52 |
107.47 |
84.19 |
109.91 |
85.16 |
112.35 |
85.87 |
114.79 |
85.41 |
117.24 |
84.55 |
119.68 |
84.83 |
122.12 |
84.9 |
|