PastyMexican24
23.07.2021 •
Mathematics
Match the equation on the left with the appropriate solution on the right.
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Ответ:
what is the question there is no photo
Step-by-step explanation:
Ответ:
Given equation of curve is y=
16−x
2
and the equation of line is X−axis i.e., y=0
∴
16−x
2
=0(i)
⇒16−x
2
=0
⇒x
2
=16
⇒x=±4
So, the intersection points are (4,0) and (−4,0).
∴ Area of curve, A=∫
−4
4
(16−x
2
)
1/2
dx
=∫
−4
4
(4
2
−x
2
)
dx
=[
2
x
4
2
−x
2
+
2
4
2
sin
−1
4
x
]
−4
4
=[
2
4
4
2
−4
2
+8sin
−1
4
4
]−[−
2
4
4
2
−(−4)
2
+8sin
−1
(−
4
4
)]
=[2.0+8.
2
π
−0+8.
2
π
]=8πsq units.