Hi, I need some help with part b and c of this question. I think it's

3. Define z = flay) = 223;. For this exercise we give f a topographical interpretation as follows: let (my) describe a position3; miles to the east and 3; miles to the north of a fixed base camp 0, and let 2 = fix, y] be the altitude (in hundreds of feet] of the terrain at this point. (3] Write the equations for the z = la level curves of f for is: = —3, —2, —1,, 1, 2,3, and give acareful sketch of each of these level curves in the provided grid. [See last page.)More specifically, for each is: above, the corresponding 2: = is: level curve must have one plotted point on each vertical gridline (unless the level curve is off the grid at this point]. Make sureto label your level curves! {b} You have organized four different hiking expeditions, each traveling due north; Expedition A (0] starts from a location 2 miles to the west of base camp; Expedition B starts from a location1 miles to the west of base camp; Expedition C starts from a location 1 miles to the east of base camp; Expedition D starts from a location 2 miles to the east of base camp. Draw the path each expedition follows on your contour map. For each hike, describe howaltitude changes as the expedition heads north; you should give specifics about the rate atwhich altitude changes on each hike. Wolf Braydon is roaming the hiking area. His location (on a 2D map of the region) as a function of time t is given by the parametrized curve r(i)={cost+tsi_nt, sint—tcost) i>fl. At time t = 1r, Braydon is at location (—1, if) on the map. Compute Braydonls rate of changein altitude at this location.