g = (2, 2)
given the ratio is 1 : 1 then f is the midpoint of eg
let the coordinates of g = (x, y)
using the midpoint formula
(0 + x) = 1 ( multiply both sides by 2 )
0 + x = 2 ⇒ x = 2
(4 + y) = 3 ( multiply both sides by 2 )
4 + y = 6 ( subtract 4 from both sides )
y = 2
coordinates of g = (2, 2)
i think it is 70
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.
i’ll just s take the points thxs