chapter 3 test cumulative Flashcards
use the MVT to show f(-1) cant equal 2.5
put f”(c) = f’(b)-f’(a)/b-a and solve
then say how the answer doesn’t fit the interval parameters
“ however for f”(c) = -1.25 there is no such c in [-1,1] therefore there is no c in the interval such that f”(c) = 1.25
thus it is not possible that f’(-1) = 2.5
The number of mosquitoes in a field after a major rainfall is modeled by the function M defined by M (t) = -t° + 12t? + 144t, where t is the number of days after the rainfall ended
and 0 < t < 18.
(a) Using correct units, interpret the meaning of M* (15) =–171 in the context of the problem
when r equals 15 the number of mosquitoes in the field decreases at a rate of 171 mosquitoes per day
Based on the model, what is the absolute maximum number of mosquitoes in the field over the time interval 0 < t < 18? Justify your answer.
what should your answer look like
the y value plugged into the OG equation!
natural lot of 1
0
natural log of 0
undefined
natural log of e
1
the 2nd D can’t be used when
f’(c)=0 and f”(c)=0 or if f”(c) DNE
Selected values of a continuous function F are given in the table above which of the following statements could be false
by the mean value theorem apply to F on the interval to five there’s a value see such that have f’(c) equals 10 that is because it does not say that the function is differentiable
ln x + 1 = 0
when x is what
when x is e^-1
where does a POI occur for f”
the zeroes of f” when f” changes sign
if using f” on a calculator and using the critical numbers of f to find extrema what do u revaluarse
the con cavity, if ccu then increasing and vice versa
to give where the 2nd d test concludes that x=2 is the location of a relative min or max do what
find critical points for f’ and if those points make f” equal to 0 or undefined then the 2nd D tests can’t be used
it is unknown if there is a POI at x=8 if
that point at f’ is 0 and f” is 0 and if the sign change is unknown
