1. (05.07 MC) An object moves such that its velocity is defined as v(t) = -+ + 4t- + 2t for 0 s t's 8 seconds. When does the object reach its maximum acceleration? (1 point) 4.449 s 12.270 s O 1.333 s 2.897 s 2. (05.07 MC) What value of b will make f(3) a local maximum if f(x) = -x3 + bx2 for 0 s x= 6? (1 point) Oo O 3 O 13.5 O 4.53. (05.07 MC) A cone-shaped paper cup is being produced such that it holds 100 cm of liquid. The material that will be used to produce the cups cost 0.25 cents per cm-. Let the cost be a function of r and the slant height of the cup be defined as s=vr2 + h2. Which of the following equations will help to determine the lowest cost? (Hint: the base of the cup would not be included, since it is open.) (1 point) O d (0.25arr2 + 90000 dr -)=0 O (0.25xr2 + 0.25arz + 90000 -)=0 O 0.25 -(x2 + ar. 12. 300 + 2)=0 O 0.25 (xr -2 300 dr -)=0A piece of cardboard is being used to make a container that will have no lid. Four square cutouts of side length h will be cut from the corners of the cardboard. The container will have a square base of side s, height h, and a volume of 80 ins. Which is the correct order of steps for finding minimum surface area A of the container? $2h = 80 and A = $2 + 4sh 320 I. A' = 2s $2 320 II. 0 = 2s - Ill. A = $2. 320 S s = 5.429 in and h = 2.714 in (1 point) 1, 11, III III, 11, 1 I, III, II O III, 1, 1I5. (05.07 MC) Given y = x3 - 2x for x 2 0, find the equation of the tangent line to y where the absolute value of the slope is minimized. (1 poir O y= 0.816x O y= 1.414x Oy= -1.089 Oy=0