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Hello:
equation is the line is : y = ax+b a is a slope
y = (-3/4)x+b
<span>passing through the point (−3;−3) : -3 =(-3/4)(-3)+b
y = (-3/4)x-(21/4)
</span>We draw the <span>Graph by two points : A(-3;-3) B(0;-21/4)</span>
G ( x ) = - 2 x² + 9
If this function is translated vertically downward by 8 units it becomes:
f ( x ) = g ( x ) - 8
f ( x ) = - 2 x² + 9 - 8
Answer:
f ( x ) = - 2 x² + 1
By the divergence theorem,

where

is the boundary of

. We have

so the flux is