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1. Consider a fence whose base is the path with parametric equations r(t) = cos t, y(t) = sin t, for 0 t /1.

   

1. Consider a fence whose base is the path with parametric equations r(t) = cos t, y(t) = sin t, for 0 t /1. Let the height of the fence be given by the function f(x, y) = 2x + 3y. Calculate the area of the fence. [10]

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