The dynamics of an age-structured population are modeled in a later section. For certain parameter values the long-term per capita growth rate of the population is given by r = 1/2(1 + \sqrt{1+8s} ),
where s is the annual survival probability of juveniles.
(a) Approximate the growth rate with a Taylor polynomial of degree one (linear approximation) centered at 0. (b) Approximate the growth rate with a Taylor polynomial of degree two centered at 0.

idk

step-by-step explanation:

idk

depends on how many days you are talking about

step-by-step explanation:

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.

i believe the answer is 323 ft

step-by-step explanation: