Question

For a certain automobile, M(x) = - 015x2 +1.25x - 7.6,30s xs 60, represents the miles per gallon obtained at a speed of x miles per hour, (a) Find the absolute maximum miles per gallon and the speed at which it occurs. (b) Find the absolute minimum miles per gallon and the speed at which it occurs. (a) The absolute maximum miles per gallon is This occurs at mph. (Type an integer or decimal rounded to the nearest thousandth as needed) (b) The absolute minimum miles per gallon is This occurs at mph, Type an integer or decimal rounded to the nearest thousandth as needed)

Answer 1

3053.560 GINE M(x)= -0.01562 +1.25% -7.6, is miles per gallon obtained at a speed of a miles per hour Now calculate MG) = Live (Mas) (0.015? +1-250-706 --0-0150204+1-25000 mikas -0-033t.25. Take M'Gezo -0-03+1.2550 0-030=-1.25 a = 1:25 - I u -0-03 =) a= 1.25 0.03 is s the critical point of Now Moul absolute catrene values of MG) occurs at cortical points or end points of the domain ilacet de 1:25 0-03 > d=30, d=60. at de 1.25 0-03 MG)= -6 -0-015 2 Ono +1+251 (104)-3-6 18.49166 at 1-20, MO)=--00)+1.25030)-7.6 16-4.

miles per gallonis at a=60, mcm) = -0.015(603) +-25(60) -76 = 13.4 The absolute marimon (a) The absolute madinon value is 18.44166 cet absolute mininam is 1804 at a=60. 1:25 OoQ3 41.66666 . This occurs at (6) The absolute minimum 41.667 mph miles per gallah is [ 13.44 This accur cet 60 mob.