What type of conic section is given by the equation [tex]4x^2 + 9y^2 = 36[/tex]? What are its domain and range?
Answer (3)
Ellipse
Domain:[-3,3]
Range:[-2,2] ;
4 x 2 + 9 y 2 = 36 36 4 x 2 + 36 9 y 2 = 36 36 9 x 2 + 4 y 2 = 1
This is a equation of a ellipse (0,0) centered
Domais: {x∈R/-3≤x≤3} Range:{y∈R/-2≤y≤2}
The equation 4 x 2 + 9 y 2 = 36 represents an ellipse. The domain of the ellipse is [ − 3 , 3 ] and the range is [ − 2 , 2 ] .
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