Activity 1:there are sets of rational algebraic expressions in the table below. check the column AGREE if entry in column I is equivalent to the entry in column II and check the column DISAGREE if the entries in the columns are equivalent, if not then show the correct solution.

the answer is 5636.7

hi! i think the answer is 1/2 : )

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.