Science & Mathematics - 4 February 2007

So I'm given a series z_n = [(1+i) / sqrt(3)]^n and I need to find its limit if it converges. If it diverges, I need to explain why.

I'd like to perform a ratio test, but how do I know if (1+i) / sqrt(3) is greater than, equal to, or less than 1? The textbook is confusing and says that the tests for convergence for complex series is similar to those for real series. It even gives a few simple examples. Problem is... it shows zero work. Any help?

2007-02-04 08:41:24 · 3 answers · asked by metalgoomba 1 in Mathematics

2007-02-04 08:39:59 · 5 answers · asked by k thanks bye 2 in Astronomy & Space

name of organism, ancestry of organism, nomenclature, dichotomy of a system of classification.

2007-02-04 08:39:39 · 1 answers · asked by hollie michele 1 in Biology

7

13

27

29

2007-02-04 08:39:33 · 12 answers · asked by (10% Him) (5% Me) (85% Love) 3 in Mathematics

8x-10>7x+20
13x-4<12x-1
7(x-2)<-5
If you could help with any of these problems, that would be great! Please show how you worked the problem(s) along with the answer. Thanks! I hope someone can help me!

2007-02-04 08:38:14 · 15 answers · asked by Anonymous in Mathematics

2007-02-04 08:37:38 · 5 answers · asked by Anonymous in Biology

I was doing a Lab on Bacteria so I couldn't figure out this question at all.

2007-02-04 08:37:28 · 2 answers · asked by Ka Youa H 1 in Biology

1/2 of 1/4
1/4 of 1/2
they are equal

2007-02-04 08:37:19 · 19 answers · asked by (10% Him) (5% Me) (85% Love) 3 in Mathematics

Rewrite the equation 2x – 3y = –6 as a function of x

2007-02-04 08:37:03 · 4 answers · asked by hebbie9601m 1 in Mathematics

2007-02-04 08:34:55 · 2 answers · asked by tompops1 1 in Geography

How do you do this?

Remember, when converting from larger to smaller units, multiply

When converting from smaller to larger, divide

2007-02-04 08:31:56 · 2 answers · asked by jamesagentjames11 a 1 in Mathematics

2007-02-04 08:30:33 · 4 answers · asked by kidcashier 1 in Mathematics

Its time to get out of this state and find a new life somewhere else, these storms(hurricanes, tornadoes) most recent Lady Lake, FL are not even safe in Central Florida, like people once thought. Real estate prices should be dropping who wants to be around a high risk area like Florida?

2007-02-04 08:30:24 · 3 answers · asked by Anonymous in Weather

$6.95 per baseball

Which expression can the coach use to determine the price of a dozen baseballs?

A. 1 x $6.95

B. 10 x $6.95

C. 12 x $6.95

D. 13 x $7.00

2007-02-04 08:30:17 · 4 answers · asked by Anonymous in Mathematics

A hunter aims directly at a target (on the same level) 130 m away.

(a) If the bullet leaves the gun at a speed of 210 m/s, by how much will it miss the target? (Answer should be in meters)

2007-02-04 08:29:54 · 4 answers · asked by Sparkles 3 in Physics

Its time to get out of this state and find a new life somewhere else, these storms(hurricanes, tornadoes) most recent Lady Lake, FL are not even safe in Central Florida, like people once thought. Real estate prices should be dropping who wants to be around a high risk area like Florida?

2007-02-04 08:29:37 · 3 answers · asked by Anonymous in Geography

2007-02-04 08:28:41 · 9 answers · asked by Chazzy 3 in Mathematics

2007-02-04 08:26:38 · 3 answers · asked by xpert1111 2 in Zoology

thank you

2007-02-04 08:25:08 · 5 answers · asked by Anonymous in Mathematics

Let f and g be functions from R to R, determine which statements below are true. If true, provide a proof; if false, provide a counterexample.
a) If f and g are bounded, then f+g is bounded.
b) If f and g are bounded, then f*g is bounded.
c) If f+g is bounded, then f and g are bounded.
d) If f*g is bounded, then f and g are bounded.
e) If both f+g and f*g are bounded, then f and g are bounded.

Hints:
a) (f+g)(x)=f(x)+g(x)
b) (fg)(x)=f(x)g(x)
c) For part e, show f^2 + g^2 is bounded.

ANY IDEAS??

2007-02-04 08:25:06 · 1 answers · asked by ClooneyIsAGenius 2 in Mathematics

1. The coefficient of friction between a certain brass block and a large revolving turntable is µ = 0.32. How far from the axis of rotation can the block be placed before it slides off the turntable if it is rotating at 33 1/3 rev/min?


2. A ball of mass m = 2.4 kg moving with a speed of v0 = 11.5 m/s strikes an identical ball which was initially at rest. After the collision, the incoming ball (ball 1) goes off at q1 = 29° relative to its original direction and the struck ball (ball 2) moves off at q2 = 39° as shown in the diagram.
What is the final speed of the incoming ball?
What is the final speed of the struck ball?
What magnitude of kinetic energy was lost (to sound, heat, etc.) in the collision?
For this one, I know that the ratio of the balls final speeds is 1.298, and the momentum is 27.6, all in the x direction, and the net y momentum is zero...

2007-02-04 08:24:14 · 1 answers · asked by Roxi 1 in Physics

2007-02-04 08:24:09 · 6 answers · asked by melissa a 1 in Mathematics

what is the average velocity? in m/s.

2007-02-04 08:23:44 · 3 answers · asked by soccerjock 2 in Mathematics

2007-02-04 08:23:33 · 4 answers · asked by melissa a 1 in Mathematics

2007-02-04 08:23:25 · 4 answers · asked by JACQUELINE T 6 in Earth Sciences & Geology

2007-02-04 08:23:23 · 7 answers · asked by ? 1 in Other - Science

2007-02-04 08:22:02 · 4 answers · asked by melissa a 1 in Mathematics

Mt. Warning
Mt. Mauna Loa
Mt. Kilimanjaro
Mt. Shasta
Mt. Elbrus
Mt. Hood
which ones are extint

2007-02-04 08:21:44 · 3 answers · asked by sockerkid1283 1 in Earth Sciences & Geology

2007-02-04 08:21:05 · 8 answers · asked by ? 1 in Other - Science

My 8th grade bio class created a model of a cell membrane using dialysis tubing. We filled it with a stock solution of sugar,salt,water,and starch. We placed it in a beaker of distilled water. After 20 mins. we tested the beaker solution for traces of the stock solution. The tests showed that the cell membrane let everything diffuse but the starch. Now i understand why this all happens I'm just struggling on how dialysis tubing is a good model for a cell membrane , and a bad one. Any help would be appreciated!

2007-02-04 08:20:56 · 7 answers · asked by Anonymous in Biology