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a 28.5
b 18.2
c 17.1
d 34.2

Well it is really easy to answer this question. Firstly we can calculate the complete circles area which comes out to be pi*r^2 so it becomes 16 pi.

And now we can calculate the complete triangles area which comes out to be 1/2 * base * height so 1/2 * 8 * 4 = 16 cm^2.

Now we can subtract both of them and get our final shaded areas region. So 16 pi or 50.24 minus 16 = 34.2

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50