Find the area that bounded by the curve y =√x and the line x= 16​

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.

answer: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun

step-by-step explanation: