(10 points) Let x and y be real numbers that are not machine numbers for a 32-bit word-length computer and have to be rounded to get them into the machine. Assume that there is no overflow or underflow in getting their (rounded) values into the machine. (Thus the numbers are within the range if a 32-bit word-length computer, although they are not machine numbers.) Find a rough upper bound on the relative error in computing x'y [Hint: A rough upper bound means you may use (1 + .)(1 + ,)s1 + , + and similar approximations. Be sure to include errors involved in getting the numbers into the machine as well as errors that arise from the arithmetic operations.] 6