21. The graph describes a bicycle racer's distance from a roadside television Print camera 1400 1200 (20 1080) a) When is the bicyclist's velocity the greatest? How can you tell? 1000- Q b) Is the bicyclist's acceleration positive or negative? How can you tell? 800 Distance ! 400- 200- 0-(10.230) 20 80 0 120 140 Time (in seconds) a) The velocity is greatest at time because the slope of the tangent line is (1) there. b) The acceleration is (2) because the slopes of the tangent lines (3) (1) O least (2) O positive (3) O stay the same. O greatest negative O are decreasing. O are increasing. 22. The function p(t) = = 2000t At + 75 gives the population p of deer in an area after t months. a) Find p'(6), p'(30), and p'(60). b) Find p"(6). p(30), and p"(60)- c) Interpret the meaning of your answers to part (a) and (b). What is happening to the population of deer in the long term? a) p'(6) = (1) (Type an integer or decimal rounded to three decimal places as needed.) p'(30) = (2) (Type an integer or decimal rounded to three decimal places as needed.) P' (60) = (3) (Type an integer or decimal rounded to three decimal places as needed.) b) p" (6) = (4) (Type an integer or decimal rounded to three decimal places as needed.) P*(30) = (5) (Type an integer or decimal rounded to three decimal places as needed.) P"(60) = [Type an integer or decimal rounded to three decimal places as needed.) c) What is the meaning of the answers from parts (a) and (b)? O A. The population is growing, and the rate of growth is increasing. O B. The population is shrinking, but the rate of decline is slowing down. O C. The population is growing, but the rate of growth is slowing down. O D. The population is growing at a steady rate. O E. The population is holding steady- OF. The population is shrinking at a steady rate. G. The population is shrinking, and the rate of decline is increasing. What is happening to the population of deer in the long term? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The population of deer continues to grow without bound. O B. The population of deer reaches a maximum of and then starts to decrease. O C. The population of deer approaches a maximum of (1) O months. (2) O deer. (3) O months. (4) O deer. (5) O deer / month. O deer / month. O deer / month. O deer / month. deer / month. O months. )deer. months. deer / month months. )deer. deer / month?. O deer / month? deer. deer / month. deer / month (6) O deer / month?. O months. deer. O deer / month