MTH 254 APA The Gradient Winter 2020 Task Master: Cynic: Reporter: \"Obvious is the most dangemus won! in mathematics.\" -E. T. Bell Suppose the contour map below represents a landscape where x and y are in miles and z is in thousands of feet {oriented so the yaads is north). 4 1 Suppose you are standing at (E, Z) . . 4 1 4 1 _ - 4 1 1. Use your estimates for Def (5, a) and 033' (E, 1) to estimate Vf (5, a) including units and draw this vector on your contour map. I 4 1 2. At ( ) estimate the steepest slope uphill using your contours. 3. Use your answer to (1) to calculate the steepest slope uphill. Are your answers close? 4. (a) How does the steepest direction uphill / downhill relate to the contours? 1 i I where would it end up? Draw the path of the stream on your contour map. (b) If a spring came out of the ground at 3' how would the water run downhill and 5. Where does f live? Choose the best answer(s). (a) On the surface of f (c) In 3D space (b) In the domain of f (d) In 2D space