The elevation of a mountain in kilometers at the point (x, y) is  f(x,y)=2-(x/8)^2-(y/6)^2 a) what is the shape of the base of the mountain where f(x, y)= 0? Provide both the equation and sketch of the shape with appropriate labels. b) Suppose a hiker is following the trail at the point (-1, -1), walking in the direction of largest elevation gain. What is the slope of the mountain in the direction the hiker is taking? c) Suppose the hiker at point (-1, -1) decided to leave the trail. Which direction (given by a vector) should the hiker travel to decrease their elevation as fast as possible?

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