8. (10) An Army private is driving an M109A3 howitzer. In order for the howitzer to perform its mission correctly, it cannot be parked and pointed to fire in a direction where the slope is greater than 7% (7% slope = 0.07). If the howitzer is on a hill described by the equation 2 f(x,y)=0.22_ r 5 y 10 +0.46x +0.22y and the howitzer is parked at the point (1, 1, 0.6), can it be fired in the direction of v=41+3? Show all work necessary to justify your answer.