2. ,..J2

MATHEMATICS

264 Fall 2006

Questions are not necessarily of equal weight

/ (1), With the aid of a ~ange

of variables, compute the value -of the integral

fhD) (~)

dA

region (D) in the first quadrant of the z, y plane bounded by the curves

= 1;x2

x2 +y2

==

-+- y2

,

= 2y,x

4,x

= 4y

'

/" (2) Fn1d the area of that portion of the surface which x

S land

y

Z2

=

+

X2

y2

above the first quadrant of the (x; y)-plane for'

S 2.

I-Y'J-

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