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Part $1$

A large building shaped like a box is

$5555$

m high with a face that is

$6565$

m wide. A strong wind blows directly at the face of the$$ building, exerting a pressure of

$170170$

Upper N divided by m squaredN$/$m$2$

at the ground and increasing with height according to

$$P$($y$)$equals$=170170$plus$+2$y$,$

where y is the height above the ground. Calculate the total force on the$$ building, which is a measure of the resistance that must be included in the design of the building.

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Part $1$

Find the width function$$ w$($y$)$ for each value of y on the face of the building.