(a) For g(x, y) = Vg(4,3) = x2 +5y+18, (b) Find the best linear approximation of g(x, y) for (x, y) near (4, 3). Linear approximation = (c) Use the approximation in part (b) to estimate g(3.99, 2.99). g(3.99, 2.99)

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Q: The local linear approximation of (1- x)2° at x, = 0 is a) 20 - x c) 20 +x b) 1- 20x d) 1+ 20x

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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.