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I need help with this question please. 

 

 May 20, 2019
 #1
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6x^2 + 4y^2 = 18      divide through by 18  and we have

 

x^2 / 3  + 2y^2/9 =  1        and we can write this as

 

x^2 / 3 + y^2 / [9/2] = 1

 

The center is  (0, 0)

 

The major axis lies along the y axis

 

c = sqrt [ a^2 - b^2]  =  sqrt [ 9/2 - 3 ]  =  sqrt [ 3/2]

 

The eccentricity  =  c / a  =    sqrt [3/2] / [9/2]  =  sqrt (6) / 9

 

The foci  are  (0, + sqrt[3/2] )  and (0, -sqrt [3/2] )

 

The x intercepts are  -sqrt (3)  and (sqrt (3)

 

The y intercepts are  3/ sqrt (2)  and    -  3/sqrt (2)

 

Here's a graph :  https://www.desmos.com/calculator/nwocj2f0gf

 

 

cool cool cool

 May 20, 2019

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