Identify the type of conic section that has the equation 16x^2+4y^2=16 and identify its domain and range.

Question

Mathematics

Ashanti Carlson

24 December, 06:35

Identify the type of conic section that has the equation 16x^2+4y^2=16 and identify its domain and range.

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Davin · Answer 1

The type of conic section that has the equation 16x^2+4y^2=16 would be an ellipse having a d omain: {-1 ≤ x ≤ 1} and a range: {-2 ≤ y ≤ 2}. The general equation for an ellipse would be

x^2/a^2 + y^2/b^2 = 1

Hope this answers the question. Have a nice day.