The image you uploaded contains two calculus problems. The first one is related to evaluating an integral using a given transformation, while the second involves using a transformation to evaluate another integral.

Let's start with problem 7. The integral to evaluate is:

$\int \int_R (5x + 15y) \, dA$

where $R$ is a parallelogram with vertices $(-2, 8), (2, -8), (3, -7), (-1, 9)$, and the transformation is given by:

$x = \frac{1}{5}(u + v), \quad y = \frac{1}{5}(v - 4u)$

To solve this, we need to:

1. Calculate the Jacobian determinant of the transformation.
2. Set up the integral in terms of $u$ and $v$.
3. Integrate over the transformed region.

Shall we proceed with the detailed steps? Or do you want me to focus on any specific part of the solution first?