Please answer every part of each question in the photo. Don't skip. Thank you!

9. Translate the argument into symbolic form using the simple statements p,q, and r provided. (14pts) Determine whether the argument is valid or invalid. Show your work/justification for credit. A truth table is set up below in case you wish to use it. p: I will take physics. q: I will pay a lab fee. r. I will buy a new calculator I do not take physics or I pay a lab fee. It is false that 1 pay a lab fee and I buy a new calculator. Therefore, if I buy a new calculator, then I do not take physics. \begin{tabular}{ccc} p & q & r \\ \hline T & T & T \\ T & T & F \\ T & F & T \\ T & F & F \\ F & T & T \\ F & T & F \\ F & F & T \\ F & F & F \end{tabular} 10. Use Euler diagrams to determine whether each argument is valid or invalid. (Seach) a) No teachers are happy. No clowns are happy Bozo is a clown. Therefore, Bozo is not a teacher. b) All logic is confusing. No math is confusing. Some math is useful. Therefore, no logic is useful