Find a Cartesian equation in standard form for the ellipse with center at 
, semi-axes of lengths 4 and 3, and major axis parallel to the 
-axis.
Since the major axis has length 4 and is parallel to the -axis we have 
, and since the minor axis has length 3 we have 
. Since the center is at we then have the Cartesian equation
![\[ \frac{(x+3)^2}{9} + \frac{(y-4)^2}{16} = 1. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-541a4f16bb3fb3a9674dc21031d609b3_l3.png "Rendered by QuickLaTeX.com")
Is this the last RoRi’s solution for this book?
It’s not, as there are some solutions in chapter 14 as well.