So finding all of the planes would be akin to finding all of the lines through the origin by creating the general form of the equation:
y = Ax + B
Where A and B could be any constants and thus determine any line.
Thus to find the tangent planes, you would find a general form of the...
Homework Statement
My problem is one pertaining to my Vector Calculus course. The assignment is asking us to "Find equations for the planes tangent to z = x2 + 6x + y3 that are parallel to the plane 4x − 12y + z = 7." The problem I'm having with the problem is the plural aspect. It states...