Determine whether the given relation is reflexive, symmetric, transitive, or none of these. (select all that apply.) let a be the set of all strings of 0's, 1's, and 2's that have length 4 and for which the sum of the characters in the string is less than or equal to 2. define a relation r on a as follows: for every s, t is in a, s r t ⇔ the sum of the characters of s equals the sum of the characters of t.

the least common denominator is 40

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.