Question

Identify a and b for the ellispe with equation (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Answer 1

To identify the values of a and b in the given equation of an ellipse, compare it to the standard form formula and determine the lengths of the semi-major and semi-minor axes.

Step-by-step explanation:

The equation of the ellipse is (x2)/(a2)+(y2)/(b2)=1. To identify the values of a and b, we can compare the equation to the standard form formula of an ellipse, which is (x-h)2/a2 + (y-k)2/b2 = 1, where (h, k) is the center of the ellipse. In this case, since the center is at the origin, we have (h, k) = (0, 0). Thus, the values of a and b in the given equation are the lengths of the semi-major and semi-minor axes respectively.