Question

Use the transformation x=5u-v,y=-5u+4v to find the value of (3x+5y) da where r is the parallelogram with vertices (0,0), (5,-5), (-1,4), and (4,-1).

Answer 1

To find the value of (3x + 5y) in the given parallelogram, substitute the vertex coordinates into the transformation equations and evaluate the expression.

Step-by-step explanation:

To find the value of the expression (3x + 5y) in the parallelogram with vertices (0,0), (5,-5), (-1,4), and (4,-1), we need to use the given transformation equations x=5u-v and y=-5u+4v.

Step 1: Substitute the x and y values of each vertex into the transformation equations to find the corresponding u and v values.

Step 2: Use the obtained u and v values in the expression (3x + 5y) to calculate the final value.

Step 3: Replace any variables with their corresponding values and simplify the expression to get the final answer.