A point starts at the location (0, 7) and moves CCW along a circle centered at (0, 0). Let # represent the number of radians the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context! a. Suppose the point has swept out 0.1 radians since it started moving (8 = 0.1). How many radians would need to be swept out from the 3- o'clock position for from (7, 0)] to get to the point's current position? radians Preview b. Write an expression in terms of @ to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position. (Enter "theta" for e.) Preview c. Write a function f that determine's the point's r-coordinate in terms 0. (Recall that @ represents a number of radians swept out from the 12-o'clock position, not the 3-o'clock position!) f(8) = Preview d. Sketch a graph of f. 6 -TU/2 37/2 -2- -6 Clear All Draw: VV Submit Question 4. Points possible: 4 Unlimited attempts. Message instructor about this question Post this question to forum A point starts at the location ( - 6, 0) and moves CCW along a circle centered at (0, 0) at a constant angular speed of 2 radians per second. Let t represent the number of seconds since the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context! a. Suppose the point has traveled for 0.3 seconds (t # 0.3). How many radians would need to be swept out from the 3-o'clock position for from (6, 0)/ to get to the point's current position? radians Preview b. Write an expression in terms of t to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position. Preview c. Write a function g that determine's the point's z-coordinate in terms t. g(t) = Preview d. Sketch a graph of g. 4 -72/2 1-2