L24 Math 233 Lecture 30: Green's Theorem

11.6.010 Use the Ratio Test to determine whether the series is convergent or divergent. -gyn n=0 Identify an Evaluate the following limit. lim an+ 1 n + Use the Ratio Test to determine whether the series is convergent or divergent. 4 nt 10-17 24.(7n + 3)

Use the Ratio Test to C(-1 4 n! 10 17-24..(7n+ 3) Identify lanl (7 n + 3) 10 17 24...(7n + 3) n + 3) (7n+3) 10 17 24(7n + 3) lim n1 Since im3 11.7

Determine f(-7) when f(x) = x + 17/x - 17. f(-7) = -5/12 f(-7) = -1 f(-7) = -10/17 f(-7) = -17/24

Write using exponential notation. 17 middot 17 middot 17 middot 17 A 17^4 B) 4 middot 17 C) 17^1 D) 4^17 8 middot 8 middot 6 middot 6 middot 6 middot 6 middot 7 A) 8^2 middot 6^4 middot 7 B) 2^8 middot 4^6 middot 1^7 C) (8 middot 6 middot 7)^7 D) 8 middot 6 middot 7^7 Evaluate. 5^2 A) 10 B) 36 C) 25 D) 32 1^3 A) 1 B) 2 C) 3 D) 4 2^7 A) 256 B) 14 C) 128 D) 49 2 middot 4^3 A) 128 B) 512 C) 24 D) 162 Simplify. -4^3 A) 64 B) -1 C) -12 D) -64 (-2)^5 A) -32 B) 3 C) -10 D) 32 -(-4)^3 A) -1 B) 64 C) -64 D) -12 10 middot 9 + 3 middot 4 A) 210 B) 372 C) 480 D) 102 (13 +12) middot (13 - 5) A) 116 B) 200 C) 109 D) 164 16 + 24 + 2/2^2 A) 7 B) 16 C) 5 D) 19 10^2 - 2 middot 5 A) 490 B) 400 C) 320 D) 90