(bl Consider the two functions of two variables {.11 1:] Fax2] JrP' firm] = StanI (if) and sits} = where p is a real constant and p ,i I], I. Given that the gradient off and g are parallel at the point [2,1}, calculate the possible values of p. (6 marks) To describe a direction, we can rnalte use of the following vector, u=cos[li+sin{}|j, DEB :22: Note that u is a unit vector and El describes the direction. Assume that the function f in question Eta] describes the height of a mountain at the position I.'_.r,_v}|. Peter is climbing the mountain and his current position is at {5,5}. it} Find the directions. or equivalently, the range of values of H such that if Peter proceeds in those directions, he will be ascending. [5 marks] iii} B_v writing the directional derivative in the direction of u in terms of,prove that if Peter prooeeds in the direction $515; . he will be ascending at the fastest rate per distance moved