17. What is an equation of the plane tangent to the surface
at the point (-6,3,1) ?
|
A. 2x + 6y – z = 5 |
B. 2x + 6y – z = -5 |
C. x + y + z = -2 |
|
D. x + y - z = -4 |
E. z = 1 |
Solution: The answer is A
The standard equation of the plane tangent to a surface F(x,y,z) at a point P(-6,3,1) is given by,
Where, Fj for j = x,y,z is the partial derivative of F with respect to j.
Let,
So that the equation of the tangent plane at the point P becomes,
