Mathematics - 8 December 2007

1. find the product of
[4(cos30° + isin30°)] * [6(cos120° + isin120°)]

2. Find the the three cube roots of 1.
I don't understand, isn't the answer supposed to be one?

3. Write all solutions of the equation
x^5 + 243 = 0

answers:
1. -12√3 + 12i

2. cos0 + isin0
cos 2pi/3 + isin 2pi/3
cos 4pi/3 + isin 4pi/3

3. 3(cos pi/5 + isin pi/5)
3(cos 3pi/5 + isin 3pi/5)
3(cos pi + isin pi)
3(cos 7pi/5 + isin 7pi/5)
3(cos 9pi/5 + isin 9pi/5)

2007-12-08 23:44:52 · 2 answers · asked by Anonymous

Integral Calculus

2007-12-08 23:24:28 · 1 answers · asked by dyogart 1

Hello. I'm having a difficult time trying to figure this problem out about quadratic functions and their vertices. The problem says to identify the quadratic function using the vertex of the quadratic function and a point in which the function passes through. I'm assuming I have to use the standard form of a quadratic function. The vertex is (4, -1) and the point is (2, 3).

I would very much like if someone were to show me how to do it step by step instead of just giving me the answer. I don't want to keep posting questions on twenty problems about the same thing.

Not to sound demeaning, but I would appreciate it greatly if correct answers/steps are given. I have seen many times where people would have four different answers to a simple algebraic problem because of a adding/subtracting mistake.

Thank you!

2007-12-08 23:22:25 · 2 answers · asked by Anonymous

differential calculus

2007-12-08 23:08:38 · 6 answers · asked by citizen5 1

f(x) is a continuous function.
for all x |f(x)|<(or equals) 7
show that f(x)+2x=3 has at least one solution

could someone please explain this to me
show your work
thanks!

2007-12-08 22:54:39 · 1 answers · asked by Anonymous

2007-12-08 22:34:09 · 4 answers · asked by Anonymous

hi can anyone help me do this as im new to this kind of maths could u show me the calculations as well please THANK YOU 10 POINTS FOR GOOD ANSWER !!!


HERES THE Q!!
http://i136.photobucket.com/albums/q200/batista981/kirchogffsfsf.jpg

2007-12-08 22:19:09 · 4 answers · asked by kerbycarla 1

need help figuring out how many hours i volunteered

2007-12-08 22:08:44 · 14 answers · asked by lovelucy08 2

2007-12-08 22:06:20 · 6 answers · asked by Anonymous

helppppppppppppp

2007-12-08 21:45:28 · 8 answers · asked by sarah 1

Suppose that n is a positive integer, and a, b are positive real numbers with a+b=2.
Find the smallest possible value of 1/(1+a^n) + 1/(1+b^n).

2007-12-08 19:34:34 · 6 answers · asked by Answer Seeker 1

2007-12-08 19:07:39 · 26 answers · asked by sheilamfoxx 1

Simply put:

Find x in:
10^x+3 = 6^2x

2007-12-08 18:00:51 · 2 answers · asked by N.M.M.P.P.I. 2

A large rectangular yard is to be laid out and fenced in, and divided into 4
enclosures by fences parallel to one side of the yard
__ __ __ __
|__|__|__|__|

If 2 miles of fencing is available, what is the maximum area (in square miles)?

2007-12-08 17:37:36 · 4 answers · asked by Anonymous

2007-12-08 17:09:51 · 5 answers · asked by stinger98837 1

2007-12-08 17:07:47 · 4 answers · asked by justagirl 2

A club of 40 members wants to elect a president, a vice-president, and treasurer from the other members, and an advisory committee of for people is to be selected. In how many ways can this be done?
Help I don't know how to do it but I do have a sense.

2007-12-08 16:55:31 · 3 answers · asked by the worr e ore 5

Find the center, vertices, and foci of the ellipse.

9x to the 2nd power + 25y to the second power + 162x + 300y +1404 = 0

I'm not sure how to show work for this problem. Help and work shown is greatly appreciated. Thanks.

2007-12-08 16:12:52 · 1 answers · asked by Anonymous

how to do this : probles with steps.....pleas HELP thank you

1. 15a^2/25a^4 2. 32h^3/48h^2 3. 12n^4/21n^6

4.3x-6/6 5. x^2+7x-8/x2+6x-7 5. 10+3x-x^2/x^2-4x-5

2007-12-08 16:09:33 · 1 answers · asked by oscar_14_osr 1

1. solve for x collect x's on left side .. the solution should be presented with x first, then correct inequality symbol, then the number .

2 (x+1)>(s/b greater or equal to sign) 12

2x+2>(greater to and equal sign) 12
2x+2-2(greater to and equal sign) 12+2
2x>(or equal sign) 14


another one solve for x
4x+3-13x-7<(3-4x)


how do i find the slopes?

find the slope of the line that passes through the points
(3,-5) and (-5,-6)



i have no clue what they want here

translate to an algebraic statement, do not solve
three times the sum of a number and seven yields the same result as the twice the same number decreased by four ???????

2007-12-08 16:03:30 · 5 answers · asked by Maggie L 1

can you please show me the process...
assuming all angles are positive acute angles transform the left side of the equation into the right side
sec β - cos β / cos β = tan^2 β

(sec β minus cos β over cos β equals tan squared β)

2007-12-08 15:49:16 · 5 answers · asked by pirlo 1

2007-12-08 15:48:40 · 9 answers · asked by guessinglady 1

Find the vertex, the focus, and the directrix of the parabola.

y to the 2nd power + 4x - 4y + 0 = 0

I'm not sure if my work is correct, so shown work would be great. Thanks.

2007-12-08 15:40:45 · 1 answers · asked by v2507456 1

What is the answer to h+2/3<2-2/3

2/3 is a fraction.

2007-12-08 15:40:09 · 8 answers · asked by .Heather. 3

_2m+1___=__3m-2__
3 5
i wasn' sure how to type in these kind of fractions but thats what they r suppost to be LOL

2007-12-08 15:40:05 · 5 answers · asked by Anonymous

Write the equation of the line in standard form that passes through (5,-2) and (-3,14).

2007-12-08 15:23:09 · 4 answers · asked by andyauyong 1

i can't find out what 66=B in the B and 640=A in A S are
please help

2007-12-08 15:16:45 · 2 answers · asked by bunnyfoofoo93 1

A straight, vertical 43-inch wick was lit from the top and burned downward at the constant rate of 1.5 inches per hour, Three hours later, the bottom of the wick also was lit and it burned upward at the constant rate of 4 inches per hour . How many total inches ha dth etop of the wick burned down when the burning ends met?

2007-12-08 15:12:22 · 3 answers · asked by GF 1

just kinda curious, I'm studying for a cal final

2007-12-08 15:11:15 · 5 answers · asked by Anonymous

PLEASE HELP>

2007-12-08 14:53:47 · 6 answers · asked by oscar_14_osr 1