Reasoning from Tabular Data - AP Central
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AP ® Calculus: Reasoning from Tabular Data 2008 Curriculum Module
Transcript of Reasoning from Tabular Data - AP Central
AP® Calculus:Reasoning from Tabular Data
2008Curriculum Module
y t
t (yrs) 0 4 10 13 20
y t (people) 2500 2724 3108 3697 4283
y 12
y 12
y 12
y 12
y 13 y 10
13 10
3697 3108
3196.333
y t
1
20y t dt
0
20
1
20
1
24 2500 2724
1
26 2724 3108
1
23 3108 3697
1
27 3697 4283
1
20y t dt
0
20
1
yrspeople yrs people.
1
b af x dx
a
b
R t
R t dt
0
12
R t dt
0
124 R 2 R 6 R 10 4 13.4 14.3 14.8
R t dt
0
12
1
12
R t
gal
hrhr gal.
P t
1
60750 24t t2
P t
1
12P t dt
0
12 1
12169.2 14.1 gal/hr.
P t dt
0
12
1
b af x dx
a
b
f (b) f (a)
b a
1
12P t dt
0
12
1
hr
gal
hrhr
gal
hr
v
At
v
At
v
At
v
At
0 t 10
2 6.8 3 7.4 2 15.6 3 24.9 141.7
v
At dt
0
10
seccm
seccm
a
Bt 2t 7
v
Bt
v
Bt 2t 7 dt t2 7t C
13 1 7 C C 19 v
Bt t2 7t 19
v
B5 9 7.4 v
A5
y t
y t
y 18
y 18
y t dt10
25
y t dt
10
25
W t 72 380e 0.036t
W t
W 18
y t
y 7
y 7
0 t 10
P t 2t 50
2
P t
P 7
1
10P t dt
0
10
T x
T x
T x dx
0
12
T x
1
12T x dx
0
12
R t
R t
0 t 20
R t
R t dt
0
20.
W t 25e 0.03t
W t
v
At
v
A
0 t 10
v
At
0 t 10
a
Bt 2t 2
v t
v t
8 t 10
v t dt
0
12
y 18
257 292
20 157 F / min.
y t dt
10
25y 25 y 10 112 F
W 18 7.156
W t 300
y 7
4330 3815
8 6257.5
1
10y t dt
0
10 1
102 2500 2912 3360 3815 4330 3383.4
P 7
1
10P t dt
0
10
T x dx
0
12T 12 T 0 13 F.
T 7 T 4
7 4
99 101
3
2
3F / min.
1
12T x dx
0
12
1
12
1
24 108 101
1
23 101 99
1
25 99 95 100.25 F.
R t dt
0
204 28 5 33 8 42 3 46 751 gallons
0 t 20,
R t dt
0
20.
1
20W t dt
0
20
W t dt
0
20
a
At
2
10 7 115 61 ft / sec ft8 18 = 18
10 7 3 sec sec
A AA
v va
v
At dt
0
10
1
22 0 9
1
23 9 36
1
22 36 61
1
23 61 115 437.5 ft
v
Bt
v
Bt 2t 2 dt t2 2t C
11 9 6 C C 4 v
Bt t2 2t 4
v
B7 59 61 v
A7
v 0 37 20 17 v 2
v 10 17 20 38 v 12
t1
v t
120
t2
v t2
20
v 2 v 10 17
a t v t
17 17
10 20
v t
1v t
220 and t
1t2 for the t
1and t
2
t1, t
2
a t v t20 20
t2
t1
0
2
10 8 17 6 cm / sec cm5.5 5.5
10 8 2 sec sec
v v
v t dt
0
12
4 v 2 v 6 v 10 4 17 1 17 140 cm
v t dt
0
12
