there are some counters in a box. each counter is blue or green or red. there are twice as many blue counters as red counters and three times as many green counters as blue counters. our counter is picked at random from the box. Work out the probability this counter is green.

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.

130.66 for edgedunity students