(is this a question i can ask @trabolic? ) the velocity of a train relative to the ground is represented by the distance from a to b in the diagram. the velocity of a ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from b to c. what is the distance from a to c (the velocity of the ball relative to the ground), correct to two decimal places? assume that all the points in the diagram lie in the same plane. a. 21.14 m/s b. 18.03 m/s c. 17.20 m/s d. 15.00 m/s

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.

if you was gonna solve for a, a is a   < -12