Question: Question 1 (30 points) Consider the points A(-2, -1, 0), B(3, 1, -2), and C(0, - 3, 2). (a) [10pts] Find the equation of the

Question 1 (30 points) Consider the points A(-2, -1, 0), B(3,

Question 1 (30 points) Consider the points A(-2, -1, 0), B(3, 1, -2), and C(0, - 3, 2). (a) [10pts] Find the equation of the Sphere with center B and radius [ CBI. (b) [10pts] Find the points of intersection between the Sphere in part a) and the Line that passes through the points B and A. (c) [10pts] Is the Line that passes through the points A and C tangent to the Sphere in part a)? Explain. Question 2 (30 points) Let f(x, y) = b\\-8 + 2x2 + 2y2, where b is a nonzero real number. (a) [10pts] Find and sketch the domain of f. Find the range of f. (b) [10pts] Find the range of f. (c) [10pts] Is the graph of f a Sphere? Explain

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