(1 point) consider the region rr in the xyxy-plane that is described by the intersection of the four lines: 5x−6y=15x−6y=1 5x−6y=65x−6y=6 6x+4y=36x+4y=3 6x+4y=46x+4y=4 use the transformation tt described by u=5x−6yu=5x−6y and v=6x+4yv=6x+4y to evaluate the following double integral:

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).