Solve the equations in parts a and b using inverse operations. check your solutions. in your final answer, include all of your work. part a: 5 + x2 = 2x2 + 13 part b: 5 + x3 = 2x3 + 13

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.