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Q2 and 3 PLEASE 2. Let / be the line with parametric equations x = 1+3t, y =2+ t, z =6t and /2 be the

Q2 and 3 PLEASE

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2. Let / be the line with parametric equations x = 1+3t, y =2+ t, z =6t and /2 be the line with parametric equations x = 2+ t, y =3+2t, z =15 + 5t. Find the distance between the two lines. 16 3. A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 70 m and the minimum diameter, located 105 m above the base, is 50 m. Find an equation for the cooling tower. (Assume the position of the hyperboloid is such that the center is at the origin with its axis along the z axis, and the minimum diameter is at the center). 16

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