An object is moving along a horizontal path with its position modeled by the equation X(1) = t - 2t- - 3t, where position is measured in meters and time in seconds. What is its velocity(1 )and accelerationa (1)? O v (t) = -2t - 3 and a(t) = -2 o v(t) = 3t2 and a(t) = 6t - 2 ov(t) = 312 - 4t - 3 and a(t) = 6t - 4 O v (t) = 6t - 2 and a (t) = 312 - 21 - 3For f (x) = 2x - x + 1, describe the concavity of f (x). o f(x) is concave up for X and has no concavity at X = o f(x) is concave down for X 6 and has no concavity at X = o f (x) is concave up for X and has no concavity at X = o f (x) is concave down for X 6 and has no concavity at X =If an object's position is described by (170') = i,'3 + I2 where d is distance (meters) and t is time (seconds). Which of the following describe the behavior of d"(.)? 0 d" (if) is always negative. O 61"") is positive when (1'0) is concave up! > % and d') is negative when d()is concave down I % 0 duo!) is always positive. Which of the following are true? O f (x) has no concavity when f "(x) = 0. O f (x) has no concavity when f '(x) = 0. O f (x) has no concavity when f (x) = 0. O f (x) has no concavity when f '(x) = 0 and f "(x) > 0. For f(x) shown below, which of the following graphs is f "(x)? 48- 32 1.5 -16 1.5 -3.2 -48 4.8- 32- O -3 -2 abbin Namoo 1.6+ -1 1 2 O -3 -1.5 -1.6- 1.5 3.2 48 18. 3.2 148 3.2 O 116 -3 -1.5 -16- 1.5 O -3 -1.5 1.5 -32 -16- -48 3.2 48+ For the gwan graph of Ist complete the table for flo| and Fray. 11 incia I.Ty 1.75. docmaning Core No Conen Core Conce down with down UP 1, 1.7 FIT InCHE Canc Canc Conc Cone Canc MUP down down down down 1.75. ICHE Core Conc ConeConc ]Ho down down karwn city 1. 1.7 Conc Conc Conc Ha CITE Wily down down carwn ally