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Mathematics - 1 December 2007

[Selected]: All categories Science & Mathematics Mathematics

lim h-->0, ((8+h)^2/3-4)/h
represents the derivative of a function f at point c. Determine f and c

2007-12-01 04:14:46 · 4 answers · asked by Mike M 1

Given;
A = 2sin30°, B = 3cos30°
Solve;
A + B = asinb where b is an angle and a a constant.

2007-12-01 04:10:20 · 2 answers · asked by Duse 3

Find f(x) if f"(x) = 6x −6/x4 , and f'(1) = 8, and f(1) = 5

2007-12-01 04:02:57 · 6 answers · asked by Anonymous

A particle moves along a line with velocity function v(t) = t2 − t, where v is measured
in meters per second. Find the displacement traveled by the particle during the time
interval [0, 4].

2007-12-01 04:01:34 · 2 answers · asked by Anonymous

Factor : a^2 + 2a – 3

Can you explain factoring, especially how you know what signs to put in each part. Such as: x^2 - 5x + 6 is factored to (x - 2)(x - 3). How do you figure out that both with be subtraction? Thanks.

2007-12-01 04:01:14 · 6 answers · asked by Anonymous

what is the mean of 42, 21, 36, 8 and how did you work it out

and what extaly is mean ?

what is the median of 42, 21, 36, 8 and how did you work it out

and what extaly is median ?

what is the range of 42, 21, 36, 8 and how did you work it out

and what extaly is range ?

tx i am realy stuck .....

2007-12-01 03:58:57 · 3 answers · asked by coolboy 2

If there is no solution then simply put no solution.

1. x-5y=6
3x-2y=5

2. 6x+y=2
2x-y=-2

2007-12-01 03:48:09 · 6 answers · asked by Naminae G 1

( / <---- means divided)
13.(2x^2+7x-30) / (x+6)
14.(6x^+2x-5) / (3x+5)
15. (8x^3+12x^2+6x+5) / (2x+1)

2007-12-01 03:41:31 · 2 answers · asked by Diamond E 1

Is the following correct?

6/(3s + 2) = (6/3)*e^(-2t)

2007-12-01 03:39:51 · 4 answers · asked by Kable 1

2007-12-01 03:37:12 · 4 answers · asked by Aleen M 1

If there is no solution then simply put no solution.

1.x=4y
2x+5y=26

2. 3x-2y=13
4x+2y=8

2007-12-01 03:36:23 · 6 answers · asked by Naminae G 1

2007-12-01 03:35:38 · 1 answers · asked by kata 1

It is estimated that t years from now the population of a certain country will be
P(t) = 50/(1+6 e^(- 0.04 t))
million. When will the population be growing most rapidly?

In order to solve the problem, you have to maximize the function R(t) that gives the growth rate of the population, i.e. R(t)=P'(t). Check that
R(t)= (12 e^(- 0.04 t))/((1+6 e^(- 0.04 t))^2).

Now you need the critical numbers of the rate function. Check that

R'(t)= (0.48 e^(- 0.04 t))(6 e^{- 0.04 t}-1))/((1+6 e^(- 0.04 t))^3).
and use it to find the critical number that corresponds to the maximal rate t

WHAT DOES T= ?????

2007-12-01 03:32:30 · 1 answers · asked by diecast 3

2007-12-01 03:24:10 · 3 answers · asked by Anonymous

someone solve this step by step.

2007-12-01 03:01:22 · 8 answers · asked by Anonymous

1 2 4 8 16 32 64 128 . imagine it is numbers in a rule. the question is estimate the positions of 5,25,10,20,40,50,80 n 3. i think the positions can be find by diving the place.eg. 2,3,4 then 8-4=4 n then divide by 2 u get 6 so you can estimate where is 5,6, or 7. my question is what there is got to do with exponential or logarithm. basically, you can find the number positions by dividing them. if the area is big, you have divide many times n then you can find the position. if anyone understand the link between exponential or logarithm with the position estimation question pls help me

2007-12-01 02:57:15 · 2 answers · asked by as always 1

I can not prove the followng:

sign of integration(-infinite,infinite)
{[cos(x)/(x-w)]dx};
w----a constant;

the answer is
pi*i*e^(i*w) when Im*w>0
-pi*i*e^(-i*w) when Im*w<0

can anybody help,show me the detailed all the proof steps?
my email is:chrisyouger0@yahoo.com

2007-12-01 02:41:38 · 3 answers · asked by Anonymous

When we calculate standard deviation, we'll square the differences first in order to get variance and then take the square root of it. But why don't we cube differences first (or differences to the power of 1.2 or whatever) and take cube root(or whatever root)?

2007-12-01 02:35:49 · 2 answers · asked by nil 2

Ok, my average speed driving to my cabin is 55 miles per hour. Doing so, it takes me four hours to get there. My boyfriend Eric says that I could save at least half an hour if I drove 65 miles per hour. Is that correct? How long will it take me to get there going 65 miles per hour and how much time will I really save. Thanks so much.

2007-12-01 02:33:41 · 5 answers · asked by Anonymous

2007-12-01 02:11:18 · 3 answers · asked by Anonymous

I have an upcoming exam, and I am fairly sure this question will crop up in it;

'Solve sinx = 0.5'

Now I know what the answer is. x = 30. But I need to be able to prove it, and I have no idea how!

2007-12-01 02:07:04 · 6 answers · asked by Anonymous

are these lines parallel, perpendicular or neither?

2007-12-01 01:59:52 · 8 answers · asked by jes 1

How long would it take them to build the fence if they work together?

2007-12-01 01:56:10 · 7 answers · asked by jes 1

2007-12-01 01:49:14 · 23 answers · asked by Anonymous

I really don't understand how to do these problems...could someone please help me...

sin (cos^-1 (sqrt 2)/2)

cos (Cos^-1 (3/4))

csc (Tan^-1 (4/5))

2007-12-01 01:23:41 · 5 answers · asked by luv4mysavior 2

SOLVE AND CHECK YOUR RESULT-----------------

(2x+3)/2=5- (2(x-4))/3

2007-12-01 00:22:59 · 9 answers · asked by paavni 2

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