Each statement below involves odd and even integers. An odd integer is an integer that can be expressed as 2/+1,where k is an integer. An even integer is an integer that can be expressed as 2k, where is an integer. Prove each of the following statements using a direct proof. (a) The sum of an odd and an even integer is odd.
(b) The sum of two odd integers is an even integer
(c) The square of an odd integer is an odd integer
(d) The product of two odd integers is an odd integer.

Given a link with a maximum transmission rate of 32.8 mbps. only two computers, x and y, wish to transmit starting at time t = 0 seconds. computer x sends filex (4 mib) and computer y sends filey (244 kib), both starting at time t = 0. statistical multiplexing is used, with details as follows packet payload size = 1000 bytes packet header size = 24 bytes (overhead) ignore processing and queueing delays assume partial packets (packets consisting of less than 1000 bytes of data) are padded so that they are the same size as full packets. assume continuous alternating-packet transmission. computer x gets the transmission medium first. at what time (t = ? ) would filey finish transmitting? give answer in milliseconds, without units, and round to one decimal places (e. g. for an answer of 0.013777 seconds you would enter "13.8" without the quotes)