Consider the surfaces z = r? + y?, z + 2x + 2y = 0 ot) Find the projection of the curve of intersection on the ry-plane (Hint: Just use the two equations to get a relation involving x and y only) -) Find a parametric equation describing the projected curve of intersection in part (a) (Hint: Use polar coordinates to solve for r in terms of 0. Then find x and y in terms of 0 only.) t) Find a parametric equation for the curve of intersection of the two surfaces and compute the curvature at 0 = 0 (Hint: Don't forget about the z-direction, the parametrization in part (b) is the projection to the ry-plane).

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Q: 50° S. 80° R 60° 100 7. 7.

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.