The function C(m) = -.41m^2 + 6.7m - 44/ .7m represents Miles Traveled per lb. of CO 2

released as a function of speed(in MPH) for a hyundai Sontana. the domain of this function is [10,90].

A) calculate C'(m)

B)find the critical points of C(m).

C)Where does C(m) have global max(s) and min(s)

D) which speed maximizes miles traveled per pound of CO 2

F) at which speed do you think the highway speed limit should be set? why?

5 answers

I suspect m represents speed, not miles
and that C is miles per pound
but what does 44/.7m mean?
44 gord with the top part
gord? Isn't that an intestinal disorder?
Is your formula
-.41 m^2 + 6.7 m - 44 ??????
or what
if so part a is
dC/dm = -.82 m + 6.7

that is zero when m = 6.7/.82 which is part b

part c include end points
check at m = 10 and m = 90 as well as the parabola vertex at 6.7/.82
Obviously travel at m = 6.7/.82, the vertex at the top of this parabola, maximum miles for a pound ofCO2
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