Three people live on the unit sphere and are going to walk from North Pole (0,0,1) to the South Pole (0,0,-1). The first person walks along the arc of a great circle that lies in on the coordinate planes. The second person walks along an arc of a great circle that does not lie in one of the coordinate planes, and the third walks along a curve that spirals once around the sphere. Find the parametric equations that describe possible paths for each person.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.