Mathematics - 13 October 2007

... If we use x[0] = 1 as our starting value, find the next two iterates.

x[1]=?
x[2]=?

Note the numbers after the x's are subscripts.

2007-10-13 13:59:22 · 1 answers · asked by jtaylor 1

A bacteria cell divides into two cells every 20 minutes. The initial population of a culture is 60 cells.
a. find the relative growthing rate
d. find an expression for the # of cells after t hrs
c. find the rate of growth after 8hrs
d. when will the population reach 20,000 cells?

2007-10-13 13:56:55 · 1 answers · asked by Anonymous

............................|...........................
............................|...........................
...........................B...........................
............................|...........................
__.__.__A__.__|__.__C__.__.__
............................|..........................
...........................D..........................
............................|...........................
............................|...........................

Just to make it easier to understand...
These are the points:
A (-2, 0)
B (0, 2)
C (2, 0)
D (0, -2)

And I thought the answer to this was 16,
But the correct answer is 8√2
And I don't understand why.

2007-10-13 13:35:12 · 9 answers · asked by The Girl 2

I'm really having trouble with these two proofs. Can anyone solve these two? It would be greatly appreciated! I'm having trouble getting one side to equal the other.

1.) (sinθ -1)(tanθ + secθ ) = -cosθ

2.) cos B cot B = csc B - sin B

2007-10-13 13:34:33 · 3 answers · asked by neverisenough 1

2007-10-13 13:23:30 · 11 answers · asked by Mary L 2

3h2t + 6ht + 3t
Help me please

2007-10-13 13:17:49 · 4 answers · asked by mormar 1

2007-10-13 13:08:31 · 3 answers · asked by App Master 1

a / a-7 minus 10 / a+9 plus a-9 / a^2+2a-63

2007-10-13 13:07:14 · 2 answers · asked by Anonymous

2ln(4)-ln(8)

and

3ln(2)-ln(1/2)

2007-10-13 13:05:27 · 1 answers · asked by Anonymous

Find an equation of the line containing the given pair of points.

(-5, -8) and (-1, -2)

The equation of the line is y=

**************************************************

2007-10-13 12:52:39 · 5 answers · asked by iwishiwereanangel 3

Solve, for the equation 3 cos^2x + 10 sinx cosx = 0

when x is between 0 and 360 degrees ( inclusive of 0 and 360 degrees)

Pls show your workings...and explain too..tks a lot

2007-10-13 12:47:05 · 3 answers · asked by Anonymous

Pension fund investments

A pension fund has decided to invest $45,000 in the two high-yield stocks:

Duke Energy Corp with a share price of $14 and yield return of 8%.

Eastman Kodak with a share price of $30 and yield return of 6%.

This pension fund has decided to invest at least 25% of the $45,000 in each of the two stocks. Further, it has been decided that at most 63% of the $45,000 can be invested in either one of the stocks. How many shares of each stock should be purchased in order to maximize the annual yield, while meeting the stipulated requirements? what is the annual yield in dollars for the optimal investment plan?

2007-10-13 12:45:11 · 3 answers · asked by w s 3

find an equation of the line containing the given pair of points (2,1) and (6,4)

Again working with my son on algebra problems and have not been able to get this one. He has it done I just dont know if it is right, lol. Can someone help?

2007-10-13 12:36:55 · 11 answers · asked by iwishiwereanangel 3

I have two questions I'm absolutely stuck on. Any help would be much appreciated!!

1. Find the slope of the tangent line at the point P
y = a^2 / (a^2+x^2) .... P(a, 1/2)

and this next one is going to be challenging to type...

2. What is the value of:
http://i179.photobucket.com/albums/w293/controldeficit/calculus.gif
(since I couldn't type that out).

2007-10-13 12:33:56 · 3 answers · asked by Riot Act 1

200(10-200x/450+x) = 1.1(2000)
how to find x
please list all step

2007-10-13 12:33:42 · 2 answers · asked by tsz 1

int f(x),x,0,9=4

int x*f(x^2),x,0,3=?

2007-10-13 12:13:20 · 2 answers · asked by Sage 1

Sudden thought: Imagine a dictionary containing all the words in a language. Whatever the word we want do define in that language, we need other words (of the same language) to define it, right? For example, if the definition of "chair" is "object used to seat on", and if I didn't know what that means, I would have to go search for the meanings of "object", "used", "to", "seat" and "on" (on the same dictionary). Doesn't this result ultimately in some kind of logic absurdity, when we will be defining words in a loop, ending up trying to explain words with words we are trying to define? Would we need to have self-defining or self-explanatory words? What do you think?

2007-10-13 12:01:05 · 5 answers · asked by Butterfly 2

If f(x) + x^2[f(x)]^5 = 34 and f(1) = 2, find f '(1).

how do i do this??? :(

2007-10-13 12:00:35 · 2 answers · asked by jennamcc224 1

a power series representation for (1 -t^2)^-1.

2007-10-13 11:58:39 · 1 answers · asked by Anonymous

I get bored easily. Are their any fun ways to study by myself nd not with a group. Thank you so much

p.s the subject is science :D

2007-10-13 11:55:41 · 13 answers · asked by Live2Run 4

i know this isn't a hard question, but i can't think of the answer right now (brain fart).. please help!

Solve for x:

(3x/7) -3 = 6

a. 21
b. 7
c. -14
d. -21

2007-10-13 11:53:21 · 11 answers · asked by Anonymous

please show the workings... thank you very much!!! ^v^

2007-10-13 11:48:54 · 10 answers · asked by xxx 1

Given that 2 is a generator of the cyclic group U(25), how do you find all of the generators of U(25) listed as powers of 2???

2007-10-13 11:40:04 · 2 answers · asked by Anonymous

How can I find all of the generators of order 9 in Z_36??

2007-10-13 11:32:55 · 1 answers · asked by Anonymous

can someone tell me what:

A) The HCF of 315 is
B) The HCF of 1350 is

C) The LCM of 315 is.
D) The LCM of 1350 is.

oh and please can u ryt the letter next to the answer so i know which one u mean

thankyou in advance x:x :)

2007-10-13 11:27:51 · 3 answers · asked by x Animal Lover x 2

Question:
Suppose that a and b are integers and that a|b and b|a.
Prove that a=b or a=-b.

My answer to the question:
Since a|b there is an integer z such that b=a*z
Since b|a there is an integer w such that a=b*w
Substitute b=a*z to a=b*w,
a=a*z*w
a/a=z*w
z*w=1

Multiply b=a*z and a=b*w,
a*b=a*z*b*w
a*b=a*b*(z*w)
a*b=a*b*1
a*b=a*b

Then I am stuck from here, I cannot figure out how to prove a=b and a=-b from this point. Can you help me please?

2007-10-13 11:26:40 · 6 answers · asked by pink 2

Determine the set of points at which the function f(x; y; z) = square root(x + y + z) is continuous.

How are you supposed to determine the interval of continuity like that? I can pick random numbers and try them out but it really doesn't help, it will just take forever.

2007-10-13 11:15:10 · 1 answers · asked by Daniel B 2

show that if p is a prime number, then the abelian groups C_(p^2) and (C_p)x(C_p) are not isomorphic. (even though they have the same number of elements.)

2007-10-13 11:13:45 · 1 answers · asked by greenheaven 1

I need help simplifiying: 3x+6 divided by Xsquared - 4

PLEASE HELPPPP

Thank you in advance x :)

2007-10-13 11:11:00 · 7 answers · asked by x Animal Lover x 2

show that the functions f=1/x, g=(x-1)/x generate a group of functions, the law of composition being composition of functions, which is isomorphic to the symmetric group S_3.

2007-10-13 11:03:52 · 2 answers · asked by greenheaven 1