Use Newton’s method on the interval (1, 1) to find the single real root of x 3 + 3x + 1 = 0. Use Maple to plot the function f(x) = x 3 + 3x+ 1 to…

Use Newton’s method on the interval (−1, 1) to find the single real root of x3 + 3x + 1 = 0. Use Maple to plot the function f(x) = x3 +  3x+ 1 to find a suitable initial guess. (Give your answer to six decimal places.)
Find the x-coordinate of the point where the graph of the function f
 
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