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show solution 2. Find a Cartesian equation for the curve defined by the parametric equations: = 2 - sect, y = 3 - tan t.

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2. Find a Cartesian equation for the curve defined by the parametric equations: = 2 - sect, y = 3 - tan t. Sketch its graph. 3. Find a symmetric equation and a set of parametric equations of a line L through the point (-5, 2, -1) and parallel to the line given by x = 5 - 2t,y = 2 +t,z = -8t. Sketch the line in R* space. 4. Find a general equation of the plane K containing the points (-1, 7, 4), (0, 2, -1), and (1, -1, 0). Sketch the plane in R* space. 5. Determine if the line given by x = 8-15t, y = 9t , = = 5+ 18t and the plane given by 10x - 6y - 12z = 7 are parallel, orthogonal or neither

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