Please use the second image as reference. This is calculus 3. 4e Rock2100 ft1969 ft2165ftmapboxBOT2428 ft2494 ft2297 t2955 ft3418 ft354313215 ft407282625 ft3933281 ft2822 ftD.Greenleaf Hut-3281 ftA.3412ft3412ft3609 ft-3675 ft3872ft4003 ft3675 ft3872ft43314397Mount Lafayette5250 ftNorth Lincoln5000 ftMount Lincoln5089 ft4528 ft4856 ft4593 ftLittle HaystackMountain4725 ftMap legend | Mapbox © OpenStre (b) On the following page is a set of level curves.(i) At the point A, are fe and fy positive or negative? Please explain your answer.(ii) At the point B, is the directional derivative in the direction of the vectorpositive or negative? Explain.(iii) Find a point where there is a local maximum and label it "C".(iv) Find all global maxima and minima on the path given by the dotted black line.Circle the points that are maxima, and put a square around the ones that areminima.(v) What must be true about the relationship between the level curve passingthrough the points you listed in (iv) and the dotted path at those points (or,their corresponding tangent vectors)? Please explain using complete sentences.(vi) Suppose your friend wanted to find the steepest path up starting at point D,so they found the gradient vector and kept walking in a straight line in thatdirection. Where would they end up? Explain what is wrong with this reasoningand draw the path you would take instead.2

Given is the level curves corresponding to the height or altitude of a region as follows

e Rock 2100 ft 1969 m 2165 ft mapbox B.T 2428 ft 2494 f 2297 ft- 2955 ft 3418 ft 3543 3215ft 3740ft 2625 165 3281ft 2822 ft D. Greenleaf Hut- 3281ff A. 3412 ft 3412 3609 ft 3675 ft 3872 3675 R ANAA 4005 ft 3872 4331- 4397 Mount Lafayette 5250 ft North Lincoln 5000 ft Mount Lincoln 5089 ft 4528 f 119587 4593f Little Haystack Mountain 4725 ft Map legend | Mapbox © OpenStre