MATH 2400 Quiz: Quiz6Solutions
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July 18, 2012: evaluate zzzg x2 + y2 + z2 = 9. z2 dv where g is the solid above z = px2 + y2 and inside. 2 cos2 2 sin d d d . , tet2e is a ow line of ~f =(cid:28)2y, x + et2 + Since ~f (~r(t)) = ~r (t), then ~r(t) is a ow line of ~f . x+2y e y 3x da where r is the region bounded by y = 1: evaluaterrr. Using the change of variables u = x + 2y, v = y 3x, we then have boundary curves in u,v-coordinates: u = 0, v = 2, u = v. 7z 2 v(e 1) dv v2(cid:21)2 (cid:20)1 e 1. 0: parameterize the curve of intersection of z = 13 2x2 and z = 4x2 + 6y2 41. The points on the curve will satisfy the equation.
