Because of the forces caused by its rotation, earth is an oblate ellipsoid rather than a sphere. the equatorial radius is 3963 miles and the polar radius is 3950 miles. find an equation of the ellipsoid. (assume that the center of earth is at the origin and that the trace formed by the plane z = 0 corresponds to the equator.)

The required equation of the ellipsoid is:

Step-by-step explanation:

Consider the provided information.

The standard equation of ellipsoid is:

The equatorial radius is 3963 miles and the polar radius is 3950 miles. Also the trace formed by z = 0 corresponds to equator.

Here the equatorial radius is 3963 miles and trace formed by z = 0.

It is also given that the polar radius is 3950, that represents the distance on z axis, so substitute a=3963, b=3963 and c=3950 in the above equation.

The required equation of the ellipsoid is:

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is