Official speed |
68.21 wpm (152.00 seconds elapsed during race) |
Without ending ping |
68.33 wpm (257 ms delay sending score to TypeRacer’s server) |
Timerless |
72.61 wpm (8,949 ms elapsed before first character typed; 142.80 seconds elapsed during race) |
Timerless minus one |
72.52 wpm, ignoring the first character typed |
Race Start |
August 25, 2023 10:20:08am UTC |
Race Finish |
August 25, 2023 10:22:40am UTC |
Outcome |
No win (5 of 5) |
Opponents |
1. malformant (87.55 wpm)
2. rajnishkumar31 (79.76 wpm)
3. jvgcalites (79.69 wpm)
|
Accuracy |
95.4% |
Points |
184.16 |
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 hlelps us understand how a change in tone quantity is relate d to a change in another. How does the speed ofa a falling object change as a function of tim.ee? How does the leve l of water in a barrel change as afu uffunction of the amooununt of luiuquid poured into it? We see change occuriring in enearly everything ew w eoe e pobserve in the world and unierverse, and powerful modern instruemmentss he help us see more and more. In this esetion ction we introudduce the ideas of average and instanteaneious rates of change, and sho w that they are locloserly ly realatllated to the slope of a curve at ap oi point P on the curve. We give prieeicies se developments of thseese important concepts in the next chanpter, but for now e we suuse an informal approach so you will see how they lead naturally to the mianiainmain idea of this chapter, the limit. The idea of a lmiimit plays a foundationsal role thohroughout claalculus. |
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n |
i |
-i |
-n |
-a |
-i |
-m |
a |
i |
n |
-n |
-i |
Milliseconds |
208 |
203 |
88 |
118 |
69 |
81 |
84 |
148 |
92 |
115 |
70 |
90 |
60 |
147 |
71 |
326 |
173 |
166 |
152 |
165 |
231 |
86 |
52 |
339 |
160 |
Character |
-a |
m |
a |
i |
n |
|
i |
d |
e |
a |
|
o |
f |
|
t |
h |
i |
s |
|
c |
h |
a |
p |
t |
e |
Milliseconds |
168 |
403 |
102 |
103 |
41 |
80 |
262 |
321 |
284 |
153 |
617 |
235 |
112 |
57 |
97 |
37 |
42 |
156 |
86 |
152 |
62 |
139 |
142 |
94 |
117 |
Character |
r |
, |
|
t |
h |
e |
|
l |
i |
m |
i |
t |
. |
|
T |
h |
e |
|
i |
d |
e |
a |
|
o |
f |
Milliseconds |
102 |
79 |
128 |
69 |
48 |
119 |
98 |
76 |
36 |
442 |
43 |
141 |
167 |
116 |
194 |
119 |
64 |
106 |
73 |
97 |
175 |
130 |
232 |
132 |
53 |
Character |
|
a |
|
l |
m |
i |
-i |
-m |
i |
m |
i |
t |
|
p |
l |
a |
y |
s |
|
a |
|
f |
o |
u |
n |
Milliseconds |
122 |
44 |
123 |
124 |
51 |
94 |
367 |
153 |
335 |
194 |
80 |
130 |
89 |
105 |
75 |
118 |
116 |
139 |
121 |
112 |
112 |
46 |
104 |
30 |
186 |
Character |
d |
a |
t |
i |
o |
n |
s |
-s |
a |
l |
|
r |
o |
l |
e |
|
t |
h |
o |
h |
-h |
-o |
r |
o |
u |
Milliseconds |
82 |
236 |
82 |
23 |
57 |
80 |
142 |
415 |
85 |
133 |
57 |
149 |
128 |
150 |
96 |
92 |
95 |
70 |
48 |
133 |
272 |
143 |
131 |
136 |
54 |
Character |
g |
h |
o |
u |
t |
|
c |
l |
a |
-a |
-l |
a |
l |
c |
u |
l |
u |
s |
. |
Milliseconds |
76 |
125 |
198 |
50 |
78 |
101 |
227 |
84 |
130 |
429 |
155 |
153 |
142 |
661 |
183 |
463 |
122 |
136 |
98 |
|
WPM Timing |
Seconds |
WPM |
3.04 |
0 |
6.08 |
0 |
9.12 |
1.32 |
12.16 |
18.75 |
15.2 |
30 |
18.24 |
42.1 |
21.28 |
46.24 |
24.32 |
54.77 |
27.36 |
56.58 |
30.4 |
58.42 |
33.44 |
62.44 |
36.48 |
63.49 |
39.52 |
64.98 |
42.56 |
64.57 |
45.6 |
65.26 |
48.64 |
63.4 |
51.68 |
64.09 |
54.72 |
65.35 |
57.76 |
66.69 |
60.8 |
63.95 |
63.84 |
64.1 |
66.88 |
64.95 |
69.92 |
66.07 |
72.96 |
64.47 |
76 |
65.68 |
79.04 |
65.28 |
82.08 |
65.2 |
85.12 |
66.26 |
88.16 |
65.88 |
91.2 |
67.37 |
94.24 |
67.36 |
97.28 |
66.36 |
100.32 |
65.55 |
103.36 |
66.41 |
106.4 |
66.09 |
109.44 |
66.34 |
112.48 |
65.72 |
115.52 |
65.75 |
118.56 |
66.5 |
121.6 |
66.41 |
124.64 |
66.24 |
127.68 |
67.2 |
130.72 |
68.21 |
133.76 |
68.18 |
136.8 |
67.46 |
139.84 |
68.05 |
142.88 |
68.28 |
145.92 |
68.75 |
148.96 |
68.88 |
152 |
68.21 |
|