Question

Find the equation for tangent plane to the surface z=5e^yx^2 at the point P(1,0,5)

Options Given:

1. z +10x - 5y = 5

2. z + 10x - 5y = -5

3. z - 10x - 5y = -5

4. z-10x - 5y = 5

Answer 1

Equation of tangent plane:

first do partial derivative with respect to x,y and z and substitute point in that derivative.

Now form equation of tangent plane with these using formula.