3. Given the surface defined by f(x, y, z) = 2x2 - 3y - z - 10, a) Determine the tangent plane to the surface at the poi
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3. Given the surface defined by f(x, y, z) = 2x2 - 3y - z - 10, a) Determine the tangent plane to the surface at the poi
3. Given the surface defined by f(x, y, z) = 2x2 - 3y - z - 10, a) Determine the tangent plane to the surface at the point (2,1,-2). b) The angle of inclination of a plane is defined to be the angle 8 (osos) between a given plane and the x-y plane. Determine angle of inclination (in degrees) of the tangent plane from part a. Hint: What is the normal vector from the x-y plane to the given point? Didn't you already see a formula that would work?
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