a. The norm ||·||: Rm→R is a continuous function. O b. Every polynomial is continuous. c. If f: Rm Rn is continuous at x in Rm and (xk) in Rm is a sequence with limk→∞Xk=X, then f(x)=limk→∞of(xk).

Write the converse, inverse, and contrapositive of the statement below. The converse of the given statement is which of the following? A. q--p B. qvp O C. p--a O D. -p→q The inverse of the given statement is which of the following? A. -p→q B. p--a O C. q--p O D. qvp The contrapositive of the given statement is which of the following? O A. p--a O B. q→-p O C. qvp D. -p→9

Suppose that the given statements are true. Find the other true statements. (a) Given: If the window is above the door, then Austin's cousin is a girl. Which statement must also be true? - If Austin's cousin is a girl, then the window is above the door. - If Austin's cousin is not a girl, then the window is not above the door. - If the window is not above the door, then Austin's cousin is not a girl. (b) Given: If the bike is fast, then Rachel sleeps on the floor. The bike is fast. Which statement must also be true? - The bike is not fast. - Rachel sleeps on the floor. - Rachel does not sleep on the floor. (c) Given: If David knows how to dance, then the tires are old. If the tires are old, then my favorite movie is being shown. Which statement must also be true? - If my favorite movie is being shown, then the tires are old. - If David knows how to dance, then my favorite movie is being shown. - If my favorite movie is being shown, then David knows how to…

Linguistics/Semantics Discrete Math question!

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