Use p - the sky is falling, q - the seas are rising and r - the sun is exploding. Translate the following proposition into symbols and logical connectives. If the sun does not explode then the sky will fall or the seas will not rise. a. r=> (p^ b. (-rvp)=>-q c. -r=> (qv-p) d. (rv=p)=>-q e. -r=>(pv-q) 2. Determine if the proposition is a tautology or not. (Hint: The easiest way to do this is to make a truth table.) (-pvr)<=> (p=>r) a. tautology b. Not a tautology