Problem #4: Let 20yx6 10y² + 3 F(x, y, z) = (6x5 ln(10y² + 3) +9z)i + (- F. dr. +7z)j + (54xz5 + 7y - 3л sin лz) k and let r(t) = (t³ + 1)i + (t² + 2)j + 1³k, 0 ≤ t ≤ 1. Evaluate £¹

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A: As per our guidelines we can help you in solving only first three subparts. Rest of the problems you…