3 2-
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4 5
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The figure above shows the graph of f', the derivative of a twice-differentiable function f, on the interval
[-3, 4]. Answer the following questions based on the graph of f".
a) Find all x-coordinates at which f has a relative minimum. Justify your answer.
b) On what open intervals contained in 1-3, 4) is the graph of f both concave up and decreasing?
Justify your answer.
c) Find the x-coordinates of all points of inflection on the graph off.
d) What is the average rate of change of f'between x = 0 and x = 3?

An account with a $250 balance accrues 2% annually. if no deposits or withdrawals are made, which graph can be used to determine approximately how many years will it take for the balance to be $282? it's e2020 ni️️as

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.

Arectangular yard has area 96 square feet. if the width of the yard is 4 feet less than the length