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1.  Integrate \( \int\int_R x + y dA\) where \(R\) is the triangle with vertices at \((0,0)\), \((1, 1)\), and \((2,1)\). (The first thing you should do is sketch the region and decide which order you want to do your integration.)

a.  \(1\)

b.  \(\frac{5}{6}\)

c.  \(\frac{2}{3}\)

d.  \(\frac{1}{2}\)

e.  \(\frac{1}{3}\)

In each of the following, describe the region \(R\) over which the integration happens.

2.  \(\int_{-1}^1\int_0^{\sqrt{1-x^2}} f(x,y) dy dx\)

a.  A triangle

b.  A parallelogram

c.  A circle

d.  A semi-circle

e.  A quarter circle

3.  \(\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}} f(x,y) dy dx\)

a.  A triangle

b.  A parallelogram

c.  A circle

d.  A semi-circle

e.  A quarter circle

4.  \(\int_0^1\int_0^{\sqrt{1-x^2}} f(x,y) dy dx\)

a.  A triangle

b.  A parallelogram

c.  A circle

d.  A semi-circle

e.  A quarter circle

5.  \(\int_0^1\int_{1-y}^{1+y} f(x,y) dx dy\)

a.  A triangle

b.  A parallelogram

c.  A circle

d.  A semi-circle

e.  A quarter circle