3. (1 Point) Consider the following parameterizations: ) . 1-33) = (t+ 1,:2 + 2t+1) o r3(t) = (1 6t, 2 + (it) o r4(t) = (6283') ' r5ft) = (it) How many unique curves are described by these ve parameterizations? \"'hich of these are different parameter- izations of the same curve? Explain your answer. Pure graphical solutions are not sufcient here. (Hint: Make sure you are thinking about domain as well as the graphs of the functions) 4. (1 Point) Multiple Choice. (a) Consider a particle moving counterclockwise around a. circle. Two cases are shown belowI with the relevant acceleration vector sketched. For each case, at the point labeled, is the particle speeding up, slowing down, or at constant speed? Answer by lling in the appropriate bubble. (Hint: Think about the decomposition into tangential and normal components) (A) (B) In (A), the particle is O Speeding Up 0 Slowing Down O At constant speed In (B), the particle is O Speeding Up 0 Slowing Down 0 At constant speed (b) True or false: If a particle travels along a parameterized curve with constant speed, its acceleration vector must bezero. 0 True OFalse (c) Suppose two particles start at the origin. The only thing we know about their motion is that they are both moving to the right along the graph of y = sin (3). Which of the following statements must be true? 0 Their velocity vectors point in the same direction 0 Their velocity vectors have the same length 0 Their velocity vectors are identical. 0 None of these