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Mathematics - 20 October 2007

[Selected]: All categories Science & Mathematics Mathematics

how do you find the limits of his?

lim x^9 cos (3/x)
x => 0

2007-10-20 06:25:26 · 3 answers · asked by remote control 1

what is the integral of (Ln x)^2?

2007-10-20 06:16:15 · 3 answers · asked by leslie11223344 1

For the systems of linear equations in questions 1-3
Determine how many solutions exist
Use either elimination or substitution to find the solutions (if any)
Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection

4x = 8 and 5y = 15

0.2x + 0.4y = 1.7 and 8.3x - 6.3y = -4.3

x/3 - y/5 = 4 and 3x/4 + 2y/3 = 6

2007-10-20 06:05:17 · 1 answers · asked by Snoopy Baby 1

hey, need some help creating the functions for this story problem...

- The minimum number of employees that must be working each day of the week is as follows :

mon : 17
tue : 13
wed : 15
thu : 19
fri : 14
sat : 16
sun : 11

Each employee has to work 5 days in a row and then take a break for 2 days in a row. What is the minimum number of employees the company needs in order to run?

detailed explanation of how to find the functions appreciated!
thanks

2007-10-20 05:55:54 · 3 answers · asked by andrewskg3 1

S(t)=60000t+45000e^-0.07t where t S(t)=75,000te^-0.07t where t>0.5

2007-10-20 05:49:13 · 2 answers · asked by Sara C 1

Prove that (k!)^n divides (kn)! for all k and n where both k and n are natural numbers. (kn is the product of k and n)

Here are we supposed to fix either k or n and then use induction on the other? How to handle this question?

2007-10-20 05:38:38 · 2 answers · asked by Anonymous

Find the curves where the part of the tangent line cut off by the coordiante axes is bisected by the point of tangency.

2007-10-20 05:30:46 · 5 answers · asked by tangoprince 1

http://i40.photobucket.com/albums/e215/xxs3xp1stolxx/Jazz%20307%20quiz/Picture8.png

2007-10-20 05:20:58 · 7 answers · asked by Anonymous

please help i need this...

in terms of theta i need to find the angle that gives me the maximum volume of the cone.
Please without using calculus concepts

you can see the illustration "picture" at
http://img265.imageshack.us/my.php?image=project3yn4.png

"how much of of an angle should i cut of to get the maximum volume of the cone"

2007-10-20 05:03:10 · 1 answers · asked by The Answer 3

The number of yeast cells in a laboratory culture increases rapidly at first but levels off eventually. The population is modeled by the function below, where t is measured in hours. At time t = 0 the population is 20 cells and is increasing at a rate of 14 cells/hour.
n = f(t) = a/(1+be^(-0.8 t))
(a) Find the values of a and b.
a =
b =

(b) According to this model, in the long run the yeast population stabilizes at ? cells

Suppose that a population of bacteria triples every hour and starts with 300 bacteria.
(a) Find an expression for the number n of bacteria after t hours.
n(t) =

(b) Estimate the rate of growth of the bacteria population after 2.5 hours.
n'(2.5) =

2007-10-20 04:56:52 · 1 answers · asked by Anonymous

2007-10-20 04:53:47 · 3 answers · asked by andromeda 2

x^3-6x^2+13x-10
Please show details on factoring
(I am supposed to use synthetic division)

2007-10-20 04:49:39 · 4 answers · asked by Sam Dali 2

2007-10-20 04:39:10 · 8 answers · asked by ? 2

please

2007-10-20 04:22:25 · 16 answers · asked by starcp76 3

2007-10-20 04:19:09 · 9 answers · asked by ? 2

is an isomorphism of L(V,V) onto L(W,W).

2007-10-20 04:17:16 · 2 answers · asked by carlosboozer 2

Find two consecutive positive integers such rhat the sum of their square is 85

2007-10-20 04:12:41 · 4 answers · asked by Anonymous

first one to answer it correctly gets a prize =)

2007-10-20 04:08:55 · 2 answers · asked by Joseph 2

1. find period of
a.sin(sin((5piex)/4))
b. 1/2((IsinxI)/(cosx) + (sinx)/ (IcosxI))
c. (IsinxI -IcosxI)/(I sinx+ cosxI)
2. find range of : a. y= 1/(sqrt(x-5))
b. y= 3/(2-x^2)

2007-10-20 04:05:24 · 1 answers · asked by Anonymous

(absolute value of 4x=1)=0.5

2007-10-20 03:58:24 · 6 answers · asked by za z 1

f(x)=2cosx - |x|
on the interval (-pi,pi)
thank you :)

2007-10-20 03:50:26 · 4 answers · asked by ilovecoach 3

I know that the formula is y''*h^2/2, where h is the distance between the interval. BUt what is the value of y''?

How do you determind the error bound of euler's method?

Help is needed, thanks.

2007-10-20 03:42:56 · 1 answers · asked by Anonymous

If a stone is thrown vertically upward from the surface of the moon with a velocity of 5 m/s, its height (in meters) after t seconds is h = 5t - 0.83t^2.
(a) What is the velocity of the stone after 1 s?
v = m/s

(b) What is the velocity of the stone after it has risen 5 m?
v = (smaller value)
v = (larger value)

2007-10-20 03:40:47 · 4 answers · asked by Anonymous

what is the approach through first principles?

2007-10-20 03:38:08 · 3 answers · asked by Anonymous

Hi to all

It's been a while since I have done maths!

How do you expand and simplify?

e.g. 2(3x+4) - 3(4x-5)

Is the answer 18x-15??

Or do you take away the x's instead of adding??

Thankyou

2007-10-20 03:18:05 · 13 answers · asked by Anonymous

2007-10-20 02:56:17 · 8 answers · asked by sai v 1

the problem is , simplify the following statement :

(p v r ) --> [ (q v (~r) ) --> ( (~p) --> r ) ]
what i did was , first the right hand side:
[ (q v (~r) ) --> ( p v r ) ] ( because ~p-->r is equivalent to p v r)
[ ~ (q v (~r) ) v ( p v r ) ] ( here i used the same logic rule)
[ (~ q ^ r ) v ( p v r ) ]
then
( p v r ) --> [ (~ q ^ r ) v ( p v r ) ]
then i used the equivalence p --> q == ~ p v q
in which p is ( p v r ) and q is [ (~ q ^ r ) v ( p v r ) ]
~ ( p v r ) v [ (~ q ^ r ) v ( p v r ) ]
(~p ^ ~ r ) v [ (~ q ^ r ) v ( p v r ) ]
then i get stuck in here :
(~p ^ ~ r ) v (~ q ^ r ) v ( p v r )
i cant use associativity law for r because i see different logic operators
what can i do ?

2007-10-20 01:52:44 · 3 answers · asked by Anonymous

i = √(-1)

Therefore:
i² = i·i

Therefore:
i² = √(-1) · √(-1)

By some rule of radicals
i² = √[ (-1) · (-1)]

i² = √[ 1 ]

i² = ±1

Where is the flaw?

2007-10-20 01:33:21 · 5 answers · asked by Anonymous

A building 210 feet tall casts a 70 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the veritcal side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the building)

a. 18 degrees
b. 19 degrees
c. 72 degrees
d. 71 degrees

2007-10-20 01:25:15 · 7 answers · asked by hana 1

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