Find the arc length of the curve x=−2y^3/2 from y=0 to y=9.

we are given

equation of curve is

Bound is

from y=0 to y=9

now, we can use arc length formula

Firstly , we will find dx/dy

that is derivative

now, we can simplify it

Arc length:

now, we can plug it in arc length formula

and we get

now, we can solve it

Firstly , we will solve integral

now, we can plug bounds

and we get

...........Answer

the answer is c

step-by-step explanation:

n

step-by-step explanation: