Need solution to this Q1.4 a, c, d, e questions. thanks

Each of the following languages is the intersection of two simpler languages. In each part, construct DFAs for the simpler languages, then combine them using the construction discussed in footnote 3 (page 46) to give the state diagram of a DFA for the language given. In all parts, sigma = {a, b}. a. {w| w has at least three a's and at least two b's} b. {w| w has exactly two a's and at least two b's} c. {w| w has an even number of a's and one or two b's} d. {w| w has an even number of a's and each a is followed by at least one b} e. {w| w starts with an a and has at most one b} f. {w| w has an odd number of a's and ends with a b} g. {w| w has even length and an odd number of a's}