Reference no: EM13915378
1) Find the equation of the plane tangent to the surface z =9 - x2 - y2 at (1, 2, 4). Graph both the part of the surface including the point and the tangent plane over the rectangle [0, 3] X [0, 3].
2) Use the Solve command to find a solution to the least-squares linear fit for the data (1, 3), (2, 4), (3, 6), (5, 5), and (7, 8).
3) Use the Fit command to find the least-squares linear fit for the data (1, 3), (2, 4), (3, 6), (5, 5), and (7, 8).
4) Use the D and Solve commands to find the relative extrema and saddle points (using the Second Derivative Test) of the function f(x, y, z) = xy + yz + 2xz subject to the constraint x + 2y + z = 1. Use the command FullSimplify, if needed.
5) Use the D and Solve commands to find the relative extrema (using Lagrange Multipliers) of the function f(x, y, z) = xy + yz + 2 xz subject to the constraint x + y + z = 1. Use the command FullSimplify, if needed.
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Find the equation of the plane tangent to the surface
: Find the equation of the plane tangent to the surface z =9 - x2 - y2 at (1, 2, 4). Graph both the part of the surface including the point and the tangent plane over the rectangle [0, 3] X [0, 3]
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