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Match each polar curve with its polar equation. Note that there are more equations than polar curves, meaning that some equations are distractors.  Graph of the polar curves A B C D E   Polar Equations: Equation 1 Equation 2 Equation 3 Equation 4 Equation 5

Given the curve below. Is this a rose curve? If yes, indicate the value of “n” in the equation r= acos(nt) or r = asin(nt), where “a” is a constant coefficient. If no, explain why not.                                                                

Given a point with polar coordinates 

Find the area of the region enclosed by one loop of the curve

If the following argument is invalid, create a counterexample chart.  If the following argument is valid, create a formal proof. ***********************************************************You can copy and paste these for your answer: For a CE Chart: b k p q For a Proof: Statements: Reasons: 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) (delete any you don’t need)

Express the following argument symbolically and decide if it is valid or invalid. I attend NCC and I own a car.   If I do not save money for a car, then I do not have to find a parking spot.  I do not own a car or I have to find a parking spot.  Therefore, I saved money for a car.

Determine the validity of the argument for which you created a truth table.  If it is invalid, choose the correct counterexample chart.  Your truth table serves as proof for your answer.

Supply the reasons that match the statements in the proof for the following VALID argument.  The statements are listed in order below. Statements:1) ~(p V ~z)2) ~p ^ z3) ~p4) z5) n –> ~z6) ~n 7) ~n –> p8) p9) p V ~z

If  is a premise and b is false, then  must be ____________.

If the following argument is invalid, create a counterexample chart.  If the following argument is valid, create a formal proof.  You must type your answer. ***********************************************************You can copy and paste these for your answer: For a CE Chart: c d e q For a Proof: Statements: Reasons: 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) (delete any you don’t need)