Previous Problem Problem List Next Problem (8 points) Suppose the terrain of a hillside is represented as the graph z = Suppose f(a) = c and 5 Vf(a) = 4 f(x). Give a vector in R tangent to the curve through [ a ] along which the elevation stays constant. (Be prepared to explain your answer to the class.) 4 LO 5 0 Give a vector in R pointing in the direction tangent at [a] that goes uphill as steeply as possible. (Be prepared to explain your answer to the class.) -5/41 4/sqrt41 0 Consider a typical map, in which east is depicted in the e direction and north is depicted in the e2 direction. If you walk along a path at [a] heading due south, at what angle (in radians) you walking uphill at that instant? (Be prepared to explain your answer to the class.) You may give your answer in terms of an inverse trigonometric function. arccos(4/sqrt41) If you now walk along a path at a [c] heading southeast, at what angle (in radians) are you walking uphill at that instant? (Be prepared to explain your answer to the class.) You may give your answer in terms of an inverse trigonometric function. arccos(9/sqrt41)