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A thin metal plate is shaped like a semicircle of radius 4 meters in the right half-plane, centered at the origin.

A thin metal plate is shaped like a semicircle of radius 4 meters in the right half-plane, centered at the origin. The area density of the metal only depends on x

x, and is given by an unknown function ρ(x)ρ(x), with xx measured in meters and ρ(x) measured in kg/m2.

The density is measured at a few locations in the plate, as given below

x 0 2 4 6 8

p(x) 2.6 2.1 2.2 2.1 2.9



and This is what i did so far....and I there are some mistakes can you help me out?

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