(1 pt) find a parametrization of the ellipse centered at the origin in the xy-plane that has major diameter 14 along the x-axis, minor diameter 10 along the y-axis, and is oriented counter-clockwise. your parametrization should make the point (7,0) correspond to t=0. use t as the parameter for all of your answers.

Step-by-step explanation:

The parametrization of an ellipse center at origin and counter-clockwise is given by the formulas:

Where “a” is the radius of the major axis along the x-axis and “b” is the radius of the minor axis along the y-axis. Since the major diameter along the x-axis is 14 then its radius is its half, thus a=7. Similarly, since the minor diameter along the y-axis is 10, then its radius is half of it, thus b=5

Therefore, the parametric equations for the ellipse become:

Notice at t=0 we get:

which satisfies that the parametrization at t=0 makes the point (7,0)

what are the things "represented below"?

step-by-step explanation:

nobody can if you dont give the choices

3

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