SPRING 2008 — MA 227—- TEST 3
APRIL 2, 2008
Name:
1. Part I
There are 6 problems in Part 1, each worth 4 points. Place your answer on the line to the
right of the question. Only your answer on the answer line will be graded.
(1) Evaluate R1
0R2
0(2xy + 7x)dy dx.
(2) Evaluate RRDydA where Ddenotes the triangle with the vertices (0,0),(0,1),(1,0).
(3) Evaluate RRDx dA , where Dis the region bounded by the lines x= 0 and y= 0 and
x2+y2= 16 and satisfying conditions: x≥0, y ≥0.
(4) Find the mass of the lamina bounded by the lines y=x2, x = 1, y = 0 provided the
density is ρ(x, y) = 2.
(5) Find rectangular coordinates of the point with cylindrical coordinates r= 2, θ=π/6,
and z= 3.
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