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College algebra problems on the equation of the ellipse

Orienting the axes correctly, but switching them so the major axis (the longer axis) of the ellipse is aligned with the major axis of the form. This

Writing Equations of Ellipses In Standard Form and Graphing

Problems 2 An ellipse is given by the equation 8x 2 + 2y 2 = 32 . Find a) the major axis and the minor axis of the ellipse and their lengths, b) the vertices of the ellipse, c) and the foci of this

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Ellipse standard equation & graph (practice)

ELLIPSES Problem: Find the points on the locus Q(x,y) = 865x2 −294xy +585y2 = 1450 closest to, and farthest from, the origin. Answer. This is a Lagrange multiplier problem: we want to
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