The figure shows the graph of a function f. Suppose that Newton's method is used to approximate the root 5 of the equation f(x) = 0 with initial approximation x1 = 6. )'A (D (a) Draw the tangent lines that are used to find X2 and x3, and estimate the numerical values of x2 and x3. (Round your answers to one decimal place.) (b) Would x1 : 8 be a better first approximation? Explain. We know that x1 = 8 be a better first approximation because the tangent line at x = 8 intersects the x-axis 3 than does the first approximation x1 = 6. would farther from would not closer to Find the most general antiderivative of the function (Check your answer by differentiation. Use C for the constant of the antiderivative.) 6+t+t2 9(L')=r Vt A particle is moving with the given data. Find the position of the particle. 30?) = 2t + 5, 5(0) = 2, V(0) = 9 5U) =