In a landscape, we measure altitude with the function z = h (x,y]. At the point (7, 4) the height is measured at 600. In addition, we have measured the slope in the x-direction (east) to be 1/10 and the slope in the y-direction {north} to be 1/10. You can think that the x and v coordinates describe a point on a topographical map of the landscape, and that h (x, y) is the height above sea level of the point (x; y)- The graph ofthe function z = h (any) has a tangent plane at the point (7, 4, 600). What is the equation of this tangent plane? Answer: The level curve (m the height curve} in the plane given by the equation h (x, y) = 600 has a tangent line through the point (7, 4). What is the equation of this tangent line? Answer: What is the slope number if we move away from the point 1' (x, 3;) along the tangent line in the previous