Find the line integral with respect to arc length Is (3x + 5y)ds, where C is the line segment in the xy-plane with endpoints P = (4,0) and Q = (0,8). (a) Find a vector parametric equation F(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. r(t) = (4-4t,8t) (b) Using the parametrization in part (a), the line integral with respect to arc length is • Sº (12+28t)sqrt40 dt lo with limits of integration a = 0 (3x + 5y)ds = and b = 1 (c) Evaluate the line integral with respect to arc length in part (b). (3x + 5y)ds = 164.43

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