4. Which of the following is an equation of the tangent plane to the surface z = x2 + y2x – 2 at the point (1,1,0)?
|
A. 3x + 2y + z = 5 |
B. 3x + 2y – z = 5 |
C. 3x + 2y – z = 4 |
|
D. 2x + 2y –z = 4 |
E. 2x + 2y + z = 4 |
Solution: The answer is B
Let,
So that the corresponding partial derivatives of F(x,y,z) evaluated at the point (1,1,0) are,
Hence, by definition, the equation of the tangent plane to the given surface is,
