consider the statement from Calc I: "A sufficient condition forf(x)to be continuous at pointais forf(x) to be differentiable at pointa."

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1. [8 points] (a) Consider the statement from Calc I: "A sufficient condition for f(r) to be continuous at point a is for f(x) to be differentiable at point a." i. Express the statement in propositional notation by identifying the parts of the statement (labeling them as q, p, etc.) and giving the form of the proposition. ii. Express the contrapositive statement in plain English. iii. Negate the statement using Tautology 1)g) from page 25 of the text, and express the negation in plain English. (Note: since the original statement is true, the negation will be false - i.e. some- thing that we know from Calc I is impossible)