Define f by 1.04 2y+1 f(x, y) = where h is some continuos function of one variable such that h(0) = 3 and h(1) = 1. Moreover, suppose that f(0,0) = 5. Find the local linear approximation of f at (0,0), and use it to approximate the value of J001 h(t) dt, h(t) dt.

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