MTH 240 Lecture 2: 7.3

4. If P() = an nint elle + 3+37 7 then lim F(a) cquals (A) (B) į c) (D) (E) a number not in (A) = (D) (E) a number not in (A) - (D) (F) no number, because the limit does not exist

7. (a) -(A= B) is logically equivalent to (-A) = (-B). (b) -( V ES, P(x)) is logically equivalent to Va e S.-P()). (c) If a, b, c, d e Z, ab, bc, and cd, then ad. (d) If a, b, c e Z, and a be, then a b or a c. ( 1 cos 1 + i sin ) 1- į 2 +2 (f) A polar form of the complex number z = -18i is 18(cos( + isin ). (g) god (29931005101 29831005102) = 29831005101

Comparing Functions Winch of the following vector- valued functions represent the same graph?

(a) r(t)=(–3 cos t + l)i + (5 sin t + 2)j 4 + 4k

(b) r(t)=4i + (–3 cos t + l)j + (5 sin t + 2)k

(c) r(t)=(3 cos t– l)i + (–5 sin t –2)j + 4k

(d) r(t)=(–3 cos 2t + l)i + (5 sin 2t + 2)j + 4k