Is the function increasing or decreasing over the interval [-3, -1)? Explain.
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Answer:
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)