A child inflates a balloon, admires it for a while and then lets the air out at a constant rate. If V(t) gives the volume of the balloon at time t, then the gure shows V'(t) as a function of 1'. At what time does the child do each of the following? 1 V'(t) 2 (a) begin to inate the balloon? t = H (b) nish inating the balloon? t = D (c) begin to let the air out? it = H (d) What would the graph of V'(t) look like if the child had alternated between pinching and releasing the open end of the balloon, instead of letting the air out at a constant rate? 1 v'm 1 Wt) t AW t 3 6 9 12 18 3 6 9 12