Personalized data:f(x,y):6*x - 2*y + x*y + y^2 - 3

A=-8.4

g(x,y,z): x - 3*y - 4*z - 5*x*y - 4*x*z - 6*y*z - 2*x^2 - 2*y^2 - z^2

(B,C):(-9.7, 6.6)

INSTRUCTIONS For this assignment, the individualized data from your instructor will be a function f(I, y), a function g(x, y, z), a value r = A and a pair of values (r, y) = (B, C). . Use Maple, Matlab, or Mathematica to -Sketch the curve that satisfies f(x, y) = 0. - Find the tangent 'planes' (they are really tangent lines) to the curve f(x, y) = 0 where the x-coordinate is A. - Sketch the surface that satisfies g(x, y, z) = 0. Find the tangent planes to the surface g(x, y, z) = 0 where the x and y coordinates are B and C respectively. . Your code should consist of the following: - A sketch of the curve(s) satisfying f(I, y) = 0. - Compute the points of the form (A, y) that are on the curve. - Find an equation of the tangent line to the curve f(r, y) = 0 at each point of the form (A, y). - Draw a plot of this curve f(x, y) =0 along with the tangent lines. - Using the computer software, find an equation of the form y = h(r) that represents this curve near the point with larger y coordinate, and use Calculus 1 techniques to find an equation of the tangent line at that point. In words, compare and contrast your two results. - Draw a sketch of the surface g(I, y, z) = 0. - Compute the points of the form (B, C, z) that are on this surface. - Find an equation of the tangent plane to the surface g(x, y, z) = 0 at each point of the form ( B, C, 2)