Need help Please show all workings

A rectangle has height given by h(t) = vt + 3 and width given by the function w, whose graph is given in the figure below. (This portion of this graph on the intervals (0, 2) is a straight line. The portions on the intervals (2, 3) and (7, 8) are not parabolic.) Denote by A the area of the rectangle. 5 4 w (t ) H N W H 2 3 4 5 6 8 For each of the limits below, give the form of the limit, then evaluate the limit. Show your work and justify your answer. a) (6 points) lim A(x) x-+3 x In(x)