Create a new IATEX document and type out the solutions to the following exercises. Your document shonld inclnde an approgsriate title, your name, as well as a date. Please number your solutions appropriately Upload your tex and your pdf files under the relevant CatCourses assignment. Represent the following sentences in propositional logic. State the meaning of all propositional variables you have chosen, and use the logical connectives appropriately Example Translate the sencence "The sun is hot and the ocean is wet" into propositional logie Solution Let p The sun is hot, and let q The ocean is wet, then pAg Knowledge Representation 1. It is not cloudy and it is not raining. 2. I like to eat apples and bananas. 3. Behind the clouds the sun is shining 4. If a function is differentiable then the function is continuous. 5. I will study for the final otherwise I will fail.