Question: ( I . 6 ) Let x = 2 t - s , y = 3 s - 2 t . Consider the part of

(

. 6)

Let

x = 2 t - s, y = 3 s - 2 t .

Consider the part of the paraboloid

z = (x + y)^{2}

defined by

1 s 3, 0 t 2 .

Find a parametrization

r (s, t)

for this surface, and then set up and evaluate a double integral to find the surface area of this region. You may use technology to evaluate the integral.

( I . 6 ) Let x = 2 t - s , y = 3 s - 2 t .

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