1.

Consider the regions A= {(x, y)|x^(2) + y^(2) le 100 } and B = {(x, y) |sin (x+y) gt 0} in the plane. Then find the area of the region A uu B.

Answer»

SOLUTION :`X^(2) + y ^(2)le 100`
So the pointslie inside the circle or on the circle.
`""SIN (x+y) gt 0`
`""x+y in (0, PI) uu ( 2pi, 3pi)…`
`"" x+y = c` is the equation of the line
`""` Required area= shaded REGION = `(1)/(2) pi (10)^(2) = 50 pi`


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