Evaluate the given integral by changing to polar coordinates. E−x2 − y2 da d , where d is the region bounded by the semicircle x = 81 − y2 and the y−axis.

Margaret is purchasing a house for $210,000 with a 15 year fixed rate mortgage at 4.75% interest she has made a 5% down payment the house is valued at 205,000 and the local tax rate is 3.5% homeowners insurance 600 per year what are her total monthly payment