You are standing on a hill shaped like the function Z= x²+y2 ety at the point (-1,1). 1. Explain in words how to determine the direction in which the slope is maximal at this point. 2. Should the direction be a 2-dimensional or a 3-dimensional vector? What does the number of dimensions represent in this case? 3. Compute the direction of maximal slope for this function at the given point. 4. Compute the value of the maximal slope. 5. Are we ascending or descending in that direction? How do we know it?