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Solutions to Areas involving x and y axes Worksheet

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Question
a
a
b
x
I
y
y y
ly
Esty
555
yk
y
fy
c
d
y
E
ya
Ey'd
k
x
2y
e
y
fy
s
4 2 2
I
y
fy's fay
3
88
34 16
e
y 43
1
a
Ray I
y y's
f
97,1
3ft
y
12
y
Icy D
D
12
12 0
5
y
y
422
8
4
5
ra
4
4
E
13
g y
tr e
e
e
Ine
ele
je
D
Les
g I
Ey
e
e
e
I
Ig
2
y
1g
g i
I f
Eth'd
2
a
y
347
9 364
3
1
de
51
134
I
e
314
3
g
y
24
5 36
7
3
9x
94 36
de
364
ache
y
4
4
Ja g
y
4
dy
o
Ry
Ey
24 8
16
3
a
y
Fe
y
e
a
Je's de
1
3
b
yae
x
y
12
y
of
I
634
c
Total area
Area
and
64
of the rectangle
Ogs
4
enclosed
by
050516
Question
I
f
2 4
364 4
8
8
Crosby
3
2
14 03
QI
16
b
o
y
a
1,3
de
Ey
es
E
16
16
L6
I2
4
y's
O
Ey
Fx 8
34
16
12
Questor 6
3 Fa
y
9 Ce ta
y
of
et 4
É 4
A
15g
GE ay
e
E
24
d
dy
16 units
8 24
leftof the y axis so it is
actual area is justthe positre
This is the signedarea onthe
expectedtobe negative
ofthis so
Version
The
I 6units
Question
y
43
y
axis
and
y 1
44
units
Pay
e
Ty
Fy y
dy
y
Ea
Er
I
Egxro
12
3g
1114
or
y
8
Question
7h
y
43
y
axis
pay
e
Fy y
y dy
s
Ea
Ega
fI
I
I 11 1
If
units
and
y
8
ya
1
Question to
y
43
y
axis
pay
y 1
y
8
Fy y
e
My
t
dy
y
Easy
Eg
and
X's
O units
Ea
3
16
8
e
Questions
e
Hy y
yet y
2C
fay g dy
2g
32
y
634
96364
33
units
e
yzy
Question sb
p
yay D
ye
ICE D
E
yay dy
ICE
I's
s
1
1
I
units
0
Question
gc
12
9
8y
8yt12
4
Ey
6 Cy 2
I
y
y'tsay
12dg
Lytty
45
72
12g
364
E
2
33 465 1263
465 12167
144
72
o
5
2
3
2
3
8
83 16 24
8
8
1073
3 units
d
Questioned
y't Fy 10
10
yay
e
Cy
y't
s Cy 27
Fy 10
dy
5
If thy
53
125
Oy
7
1063
4
13
50
14 20
sofas
273
21
so
50
275300
5
5
765 1063
6
83 6
t
31
8,3
4
6
2546436
273
org
units
Questiona y
In
e
I
3
e
e
X
3
et
3
e
dy
fy
1343
L
th 3 x
3
43
343
3 In 3
e
e
9
e
3
K
3
3G
o
3 t I
2
units
d
e
cost
y
e
cos
ay
cos
cos
Ca
y
y dy
any
IE
Eno
A
unit
Question
ab
Question 10
Area A
y la
et ehh
Y
A
f
I
And
et
4h4
4h4
e
4h4
4h4
4425
8 In 2
ey dy
e
44 I
3
3
3
units
Question ila
yah
At
y
1
yalne
shaded Area
eye
one
Crye
et
e
e
e
I
je
f
e
e
t I
unit
he
he
eye
dy
At
2
y
y
a
sin
2
25nA
2
r
She
e
su
r
f
92
Ana
y
fane
2 12
f
Ti
T
T
Lose
f Zoos
0
I
2
Question
2
units
2050
de
1lb
In Ceti
ya
At 0 2
y
4
Question
lnC2t1
1173
Ceti
ya In
eY place ti
ed
6
Et I
01 A
m3
243
fed
243
Let y
243
243
6
3
243 thn 3
3 In 3
2
i
43
43
2
1
dy
e
o
IIc
Question
ya tan's
At
ya tail d
1
a
yataire
tanya
Gtany dy
Ext
If
If
label
y
I
f
inlcosyl
f
Inca
In
If flat
It
II
y
Itv2
units
firkosol
I
Ild
y
faire
de
y
sin
e sin
e
Y
2
i
e
s
I
a
4
y
1
1
f
I
sung dy
cosy
O
I
I
frosty
E
o
Fa
I
unit
coso
Question
ra
J
Question 2b
coste de
g
cos s
e
b
cosy
goosy dy
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sing
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t
a
fi
z
4
v
Sh
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E
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Quest.in
3 jftairedtary e
y tan
3
2
y
2
A
Ext
Y
f
dy
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I firlostiffinlosol
int
flat
fins's
g
Elna
1h2
units
Siny
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H
s
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