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0:06:01 (a) [3 points] Describe the shape of a2 + y2 = 25 viewed in (x, y, z)-space. (One sentence should suffice.) NCSU Mathematics (b) [8 points] Parametrization intersection for a + y = 25 and 5x + 5y - z = 9 as a vector-valued function. NCSU Mathematics (c) [4 points] Find the highest point in the + z-direction (largest z value) that the curve in (b) attains. Box your final answer. NCSU Mathematics