A community for students. Sign up today!

Here's the question you clicked on:

otterpop 3 years ago Find the area of the ellipse (2x + 5y − 3) 2 + (3x − 7y + 8) 2 < 1. I have no idea what this figure looks like.

• This Question is Closed
1. abtrehearn

Let u = 3 x - 7 y + 8, v = 2x + 5y + 3. $\left[\begin{matrix}u _{x} & u _{y} \\ v _{x} & v _{y}\end{matrix}\right] = \left[\begin{matrix}3& -7 \\ 2 & 5\end{matrix}\right].$ The determinant of the Jacobian matrix is 29. The equation of the ellipse transforms to u^2 + v^2 = 1 which has an area of pi. The required area is 29 pi.

2. Not the answer you are looking for?
Search for more explanations.

Search OpenStudy

Ask your own question

Ask a Question
Find more explanations on OpenStudy