Write the following mathematical theorems in their contrapositive form. to do so you will need to convert the sentences into symbolic form, find the contrapositive, apply other equivalences like demorgan's laws to simplify things and then convert back into english theorem: 0.0.1 if f is a function that is continuous on the closed interval [a, b and differentiable on the open interval (a, b), then there erists a number a c b and f'(c) = f(b)-f(a) theorem: 0.0.2 iff is a function for which the second derivative (f") is continuous near a point c and if f'(c)-0, then if f"(c)> 0, f has a local minumum at c or, if f"(c)