This is just a parabola, with its vertex at h = -b/2a, or in this case
h = 3.817/0.14
Ozone occurs at all levels of Earth's atmosphere. The density of ozone varies both seasonally and latitudinally. At a given city, the density D(h) of ozone (in 10^−3cm/km) for altitudes h between 20 kilometers and 35 kilometers was determined experimentally. For the D(h) and season, approximate the altitude at which the density of ozone is greatest. (Round your answer to two decimal places.)
D(h) = −0.071h^2 + 3.817h − 32.433 (spring)
2 answers
well find the zeroes of the funcion..
h^2-3.81/.071 +32.433/.071=0
then find the half way point between
halfway= +3.81/.071*2=26.3 km
checking that with calculus
D'=0=-.142h+3.81
h= 3.81/.142=26.3km
h^2-3.81/.071 +32.433/.071=0
then find the half way point between
halfway= +3.81/.071*2=26.3 km
checking that with calculus
D'=0=-.142h+3.81
h= 3.81/.142=26.3km