The equation giving a family of ellipsoids is u = (x^2)/(a^2) + (y^2)/(b^2) + (z^2)/(c^2) . find the unit vector normal to each point of the surface of this ellipsoids.

Step-by-step explanation:

Given equation of ellipsoids,

The vector normal to the given equation of ellipsoid will be given by

Hence, the unit normal vector can be given by,

Hence, the unit vector normal to each point of the given ellipsoid surface is

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.