💫🏅🏅₸ɦəʞíŇɠ🥇🥇💫 (hksinha75655893)

Race #2764

View Pit Stop page for race #2764 by hksinha75655893 — Ghost race

View profile for 💫🏅🏅₸ɦəʞíŇɠ🥇🥇💫 (hksinha75655893)

Official speed

71.93 wpm (144.14 seconds elapsed during race)

Without ending ping

72.09 wpm (326 ms delay sending score to TypeRacer’s server)

Timerless

72.26 wpm (332 ms elapsed before first character typed; 143.48 seconds elapsed during race)

Timerless minus one

72.18 wpm, ignoring the first character typed

Race Start

January 17, 2024 12:54:18pm UTC

Race Finish

January 17, 2024 12:56:42pm UTC

Outcome

No win (3 of 4)

Opponents

2. skyeblu7 (98.23 wpm)

Accuracy

96.7%

Points

194.20

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 undersatand how a change in one quanitity is errlelated to a change in another. How does the speed ofa a falling object change as a function of time? How does the level of water in a barreel l change as a sfunction of the amount of liquid pooured into it? We see change occuriring in nearly everything we observe in the world and universe, and powerful modern instruments heollp us wsee more and ore.more. In this section we indtroduce the idesas of saaverage and instantaneuous sreates of chagne, bngenge, and show that they are closerlly reallated to the slope of a cufrve at a point P on the curve. We give oprecise developments of these impriortaortant concepts in the next chpapter, but for now we suuse an informal apporaroach so you will wssee how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calacoululus.

Timing

Character	C	a	l	c	u	l	u	s		i	s		a		t	o	o	l		t	h	a	t		h
Milliseconds	332	109	153	412	67	185	186	79	119	81	118	120	178	155	191	89	135	161	59	108	129	31	96	64	137

Character	e	l	p	s		u	s		u	n	d	e	r	s	a	-a	t	a	n	d		h	o	w
Milliseconds	119	474	166	113	115	214	151	111	169	159	89	144	416	296	158	529	129	87	104	96	112	201	112	96	78

Character	a		c	h	a	n	g	e		i	n		o	n	e		q	u	a	n	i	-i	t	i	t
Milliseconds	114	102	202	81	239	208	96	128	96	113	303	98	117	327	145	53	372	91	149	127	161	567	193	51	132

Character	y		i	s		e	r	-r	-e	r	l	-l	e	l	a	t	e	d		t	o		a		c
Milliseconds	81	88	135	201	120	272	11	525	158	130	296	363	108	112	65	143	112	136	152	249	79	127	45	156	136

Character	h	a	n	g	e		i	n		a	n	o	t	h	e	r	.		H	o	w		d	o	e
Milliseconds	104	153	192	111	113	112	383	96	89	236	252	119	137	80	99	68	121	80	216	52	139	103	187	58	108

Character	s		t	h	e		s	p	e	e	d		o	f	a		-	-a		a		f	a	l	l
Milliseconds	97	175	353	132	83	113	285	98	145	128	168	111	97	71	225	175	369	120	112	143	129	144	135	265	143

Character	i	n	g		o	b	j	e	c	t		c	h	a	n	g	e		a	s		a		f	u
Milliseconds	216	145	63	152	185	161	119	119	144	249	111	154	94	120	129	39	112	170	135	135	109	89	114	120	88

Character	n	c	t	i	o	n		o	f		t	i	m	e	?		H	o	w		d	o	e	s
Milliseconds	160	96	225	95	60	149	116	188	83	95	144	88	139	126	272	80	304	96	113	79	191	85	107	129	666

Character	t	h	e		l	e	v	e	l		o	f		w	a	t	e	r		i	n		a		b
Milliseconds	126	168	101	139	280	248	160	87	169	80	320	112	80	104	152	121	127	95	73	152	130	77	112	137	168

Character	a	r	r	e	e	l		-	-l	-e	l		c	h	a	n	g	e		a	s		a		s
Milliseconds	361	344	166	306	118	96	70	371	128	128	233	43	140	81	102	112	45	125	87	196	149	126	104	89	151

Character	-s	f	u	n	c	t	i	o	n		o	f		t	h	e		a	m	o	u	n	t		o
Milliseconds	480	113	120	305	111	209	88	79	96	120	104	103	66	103	81	79	105	232	113	117	88	187	70	120	168

Character	f		l	i	q	u	i	d		p	o	o	-o	u	r	e	d		i	n	t	o		i	t
Milliseconds	89	87	168	63	218	88	139	130	138	312	168	199	368	173	84	136	200	88	152	112	169	59	99	193	128

Character	?		W	e		s	e	e		c	h	a	n	g	e		o	c	c	u	r	i	-i	r	i
Milliseconds	257	87	248	197	131	96	225	135	103	217	105	103	137	18	121	78	206	144	136	84	184	121	474	93	107

Character	n	g		i	n		n	e	a	r	l	y		e	v	e	r	y	t	h	i	n	g		w
Milliseconds	105	52	104	164	109	91	338	70	95	107	94	112	97	215	184	82	109	97	241	96	119	88	39	113	120

Character	e		o	b	s	e	r	v	e		i	n		t	h	e		w	o	r	l	d		a	n
Milliseconds	145	153	111	111	271	337	729	215	87	121	44	140	64	96	80	52	100	100	92	80	151	57	95	218	120

Character	d		u	n	i	v	e	r	s	e	,		a	n	d		p	o	w	e	r	f	u	l
Milliseconds	103	88	137	162	133	120	112	225	185	101	171	78	113	88	87	209	710	161	44	116	88	194	69	169	81

Character	m	o	d	e	r	n		i	n	s	t	r	u	m	e	n	t	s		h	e	o	l	-l	-o
Milliseconds	256	143	121	167	314	118	95	616	129	128	135	153	104	224	104	95	53	107	105	200	353	256	248	222	112

Character	l	p		u	s		w	-w	s	e	e		m	o	r	e		a	n	d		o	r	e	.
Milliseconds	194	159	161	463	136	96	129	447	73	192	177	190	144	114	102	88	80	104	63	115	42	212	105	96	94

Character	-.	-e	-r	-o	m	o	r	e	.		I	n		t	h	i	s		s	e	c	t	i	o	n
Milliseconds	273	120	144	542	211	179	109	71	103	73	200	104	76	124	65	107	116	78	223	179	194	398	135	145	63

Character		w	e		i	n	d	-d	t	r	o	d	u	c	e		t	h	e		i	d	e	s	-s
Milliseconds	121	137	119	113	152	79	104	392	48	144	96	192	112	88	192	121	96	95	66	102	127	89	144	104	491

Character	a	s		o	f		s	a	-a	-s	a	v	e	r	a	g	e		a	n	d		i	n	s
Milliseconds	98	150	150	112	135	89	112	126	289	112	40	152	113	208	111	144	96	60	81	140	39	160	329	119	72

Character	t	a	n	t	a	n	e	u	-u	o	u	s		s	-s	r	e	-e	a	t	e	s		o	f
Milliseconds	136	289	160	124	451	132	173	246	498	168	95	97	104	51	324	58	111	527	65	95	104	116	156	136	120

Character		c	h	a	g	n	e	,		-	-,	-e	-n	-g	b	n	g	e	-e	-g	-n	-b	n	g	e
Milliseconds	89	167	104	96	146	0	102	152	72	256	129	144	135	384	211	0	84	102	307	128	160	104	442	75	100

Character	,		a	n	d		s	h	o	w		t	h	a	t		t	h	e	y		a	r	e
Milliseconds	87	88	40	153	252	123	397	80	112	64	108	100	88	63	72	81	152	80	152	73	94	31	89	97	109

Character	c	l	o	s	e	r	l	-l	-r	l	y		r	e	a	l	-l	-a	l	a	t	e	d		t
Milliseconds	212	72	127	64	297	341	162	392	120	280	200	88	167	65	123	126	415	111	202	43	96	108	152	112	113

Character	o		t	h	e		s	l	o	p	e		o	f		a		c	u	f	-f	r	v	e
Milliseconds	79	72	47	105	48	88	111	146	160	167	137	113	86	72	136	19	114	563	128	104	392	96	183	81	208

Character	a	t		a		p	o	i	n	t		P		o	n		t	h	e		c	u	r	v	e
Milliseconds	601	142	146	42	121	299	149	189	188	142	141	184	112	145	102	154	220	148	79	105	168	191	127	193	63

Character	.		W	e		g	i	v	e		o	-o	p	r	e	c	i	s	e		d	e	v	e	l
Milliseconds	117	76	257	183	112	122	77	113	71	89	185	426	190	87	93	268	136	159	88	88	361	151	169	43	99

Character	o	p	m	e	n	t	s		o	f		t	h	e	s	e		i	m	p	r	-r	i	o	r
Milliseconds	161	215	321	151	113	72	108	101	79	64	80	74	50	84	170	94	80	274	134	100	156	496	189	0	29

Character	t	a	-a	-t	-r	-o	-i	o	r	t	a	n	t		c	o	n	c	e	p	t	s		i	n
Milliseconds	159	104	247	120	168	128	112	234	206	169	103	72	112	137	192	70	128	162	152	71	146	111	117	98	128

Character		t	h	e		n	e	x	t		c	h	p	-p	a	p	t	e	r	,		b	u	t
Milliseconds	88	29	131	36	116	321	103	193	151	132	349	87	202	597	355	27	468	129	78	137	94	226	94	77	65

Character	f	o	r		n	o	w		w	e		s	u	-u	-s	u	s	e		a	n		i	n	f
Milliseconds	140	79	88	61	140	70	38	276	151	131	125	225	71	408	114	224	45	89	105	95	112	121	167	227	356

Character	o	r	m	a	l		a	p	p	o	r	a	-a	-r	-o	r	o	a	c	h		s	o		y
Milliseconds	129	209	136	119	97	160	278	88	141	198	71	151	376	127	129	192	104	67	174	87	68	148	97	87	161

Character	o	u		w	i	l	l		w	s	-s	-w	s	e	e		h	o	w		t	h	e	y
Milliseconds	112	103	81	45	139	160	135	97	211	26	399	115	89	224	175	29	179	53	84	135	106	45	130	51	50

Character	l	e	a	d		n	a	t	u	r	a	l	l	y		t	o		t	h	e		m	a	i
Milliseconds	186	53	116	127	112	205	84	103	145	61	154	67	150	143	64	144	73	79	39	137	64	120	441	192	104

Character	n		i	d	e	a		o	f		t	h	i	s		c	h	a	p	t	e	r	,		t
Milliseconds	96	112	224	120	127	96	136	104	104	53	422	92	129	89	87	184	80	88	117	148	127	72	121	52	91

Character	h	e		l	i	m	i	t	.		T	h	e		i	d	e	a		o	f		a		l
Milliseconds	88	38	82	132	77	167	153	83	140	75	317	177	95	65	96	120	135	121	104	95	105	60	131	65	111

Character	i	m	i	t		p	l	a	y	s		a		f	o	u	n	d	a	t	i	o	n	a	l
Milliseconds	111	186	159	100	76	233	184	88	103	113	87	146	108	138	72	73	168	80	135	121	108	55	140	137	119

Character		r	o	l	e		t	h	r	o	u	g	h	o	u	t		c	a	l	a	-a	c	o	u
Milliseconds	69	156	79	168	29	107	193	72	87	80	72	81	103	184	97	72	184	464	72	119	194	399	80	103	48

Character	l	-l	-u	-o	u	l	u	s	.
Milliseconds	241	271	136	149	204	192	168	104	143

WPM Timing

Seconds	WPM
2.88	74.93
5.77	77.01
8.65	72.15
11.53	70.76
14.41	64.1
17.3	66.6
20.18	69.58
23.06	68.68
25.95	70.76
28.83	72.85
31.71	72.28
34.59	73.19
37.48	71.73
40.36	72.25
43.24	73.26
46.12	72.59
49.01	72.72
51.89	74
54.77	73.83
57.66	75.14
60.54	74.93
63.42	74.55
66.3	72.76
69.19	71.81
72.07	72.26
74.95	72.85
77.84	72.15
80.72	71.95
83.6	71.34
86.48	69.38
89.37	69.96
92.25	69.72
95.13	70.01
98.02	69.54
100.9	69.81
103.78	69.84
106.66	70.09
109.55	69.67
112.43	70.02
115.31	69.52
118.19	69.85
121.08	69.77
123.96	69.51
126.84	69.82
129.73	70.39
132.61	70.85
135.49	71.65
138.37	72.24
141.26	72.72
144.14	71.93