Find an equation of the tangent plane to the given surface at the specified point. z = 4(x − 1)^2 + 4(y + 3)^2 + 9 through (2, −2, 17)

Step-by-step explanation:

We are given the following information in the question:

We are given a surface

We have to find the equation of tangent passing through the point (2, -1, 17).

The equation of tangent is given by:

Evaluating:

Putting all the values in equation of tangent:

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x