Generate Quiz 6A3332072EACE

The right response is c) 3.

Justification:

The highest order of the derivative that appears in a differential equation is its order.

In the differential equation that is provided:

d^3y/dx^3 + (xd^2y/dx^2)^2 + dy/dx – x = 4.

The third order derivative, d^3y/dx^3, is the highest order derivative.

Consequently, this differential equation has an order of 3.

The right response is c) 3.

Answer:

The ratio of the length of the semi-major axis to the distance between the focus and the center is known as the eccentricity of an ellipse.

Since the center and focus of a circle coincide, its eccentricity is zero.

Since the focus and center are closer than the semi-major axis, an ellipse’s eccentricity is less than 1.

Since the distance between the focus and the vertex is equal to the semi-major axis, a parabola’s eccentricity is 1.

Since the focus and center are farther apart than the semi-major axis, a hyperbola’s eccentricity is greater than 1.

The eccentricity of the earth, an oblate spheroid (a kind of ellipse), is less than 1. Consequently, (a) Less than 1 is the right choice.