PRACTICE FIRST MIDTERM
(1) An object is launched from the surface dened by x2 y + z 2 = 1 at
the point (1, 3, 1) and travels on a straight line path with a speed of 3
units/sec in a direction perpendicular to the surface at (1, 3, 1) as shown
below. Where
PRACTICE SECOND MIDTERM EXAM - FALL 2012
(1) Given that the mapping T (u, v ) = (u + v, u v ) maps the region D oneto-one and onto the region D, shown below, use the Change of Variables
Formula to compute the double integral:
3(x2 y 2 )dxdy
I=
D
(2) Compu