Solution - Dartmouth Math Home
... z = −1 − 2 3(x − π/3) − 3y. (2) Find all points on the surface z = x2 − 2xy − y 2 − 8x + 4y, where the tangent plane is horizontal. Solution: The tanget plane being horizontal implies n =< −fx , −fy , 1 >=< 0, 0, 1 >. This means that fx = 0 and fy = 0. Creating these equations, fx = 2x − 2y − 8 = 0 ...
... z = −1 − 2 3(x − π/3) − 3y. (2) Find all points on the surface z = x2 − 2xy − y 2 − 8x + 4y, where the tangent plane is horizontal. Solution: The tanget plane being horizontal implies n =< −fx , −fy , 1 >=< 0, 0, 1 >. This means that fx = 0 and fy = 0. Creating these equations, fx = 2x − 2y − 8 = 0 ...
Model Equations with Variables on Both Sides
... of the equal sign, you must first add or subtract to eliminate the variable term from one side of the equation. ...
... of the equal sign, you must first add or subtract to eliminate the variable term from one side of the equation. ...