Suppose \(f(x) = 10x + 4\) is a function such that \(F'(x) = f(x)\). If the graph of the function \(y = F(x)\) passes through the origin, then what is the value of \(F(3)\)?

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Suppose there are functions \(F(x)\) and \(f(x)\) such that \(f(x) = 6x^2 + 6x\) represents the slope of the tangent line to \(F(x)\) for all \(x\). If the graph of \(y = F(x)\) passes through the point (1, 8), then what is the value of \(F(3)\)?

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