Mathematics - 25 September 2007

How can one answer this one? Please explain. Thank you!
(log7x)^2 – 3log7x = -2

*the number 7 above is the base

2007-09-25 23:23:15 · 4 answers · asked by _uoa 2

2007-09-25 23:17:00 · 2 answers · asked by Aris B 1

I'm struggling getting started with a problem:

for all real number x, [x] is defined as the greatest integer <=x;
i.e. the unique integer such that x-[x] is an element of [0,1)
for example [3.4] = 3 and [-3.4] = -4

let a be an irrational number, and define a real sequence {x_n} by setting

x_n = na-[na]

Prove:
the values of this sequence are distinct irrational numbers in the interval (0,1)

that's where I'm stuck at, I think it has to do with either showing x_n is monotone decreasing, or using the that x-[x] is in [0,1)

2007-09-25 23:02:29 · 3 answers · asked by greeneggs4spam 3

example:
when we donno how it was supposed 2 be..

2007-09-25 22:50:45 · 4 answers · asked by Pwincess FaFa 1

2007-09-25 21:44:54 · 4 answers · asked by rhubarbcrumble4 2

[12 25][n1]=[630 ]
[22 48][n2] [1190]

2007-09-25 21:42:14 · 2 answers · asked by Brady F. 1

Starting with 1, at most how many consecuative positive integers can be added together BEFORE the sum exceeds 200? explain.

2007-09-25 21:24:25 · 5 answers · asked by Anonymous

Show that the triangle with the vertices A(6,-7),B(11,-3) &C(2,-2) is a right triangle by using the converse of the Pythagorean Theorem. Find the area of the triangle.

2007-09-25 19:53:22 · 6 answers · asked by monica 1

2007-09-25 19:19:43 · 13 answers · asked by mztana820 1

i did

sin 6t/cos6t/sin 2t...


umm.. if im going in the right track... should it be (sin 6t)(sin 2t)/cos6t... or should it be...
sin6t/(cos 6t)(sin 2t)???

2007-09-25 19:15:59 · 4 answers · asked by Anonymous

A generator is made from 100 turn coil, 3cm by 4 cm placed in a magnetic field of strength 0.1T. The coil rotates at 50 rev/sec. At a position when the magnetic field is perpendicular to the coil, calculate:

i) the amount of magnetic flux that passes through each turn
ii) the angular velocity of the coil and
iii) the peak voltage generated by the coil as it rotates

Source: Fiji Seventh Form Examination, 2006.

Problem is that the examiner gave answer to "ii)" as 1971.92 rad/sec. Which according to me seems incorrect.
But in the examiners report, he clear said that "100pi rad/sec" is not the correct answer.

2007-09-25 19:09:49 · 2 answers · asked by prashmanic 4

2007-09-25 19:08:45 · 17 answers · asked by Priscilla A 1

2007-09-25 19:08:01 · 4 answers · asked by Anonymous

1.
lim
x→ ∞ ( 4 ·x^7 −15 ·x^3 +5)/(c·x^n−3 ·x
^3+17)=4/7=0.571428571428571 .

calculate for c and n.


2.
Let f(x)=2 ·x^6 −12 ·x^3 +10 and g(x)=c·x^n−7 ·x^3 +20 with c ≠ 0. Then
lim
x→ ∞ f(x)/g(x)=0 implies that n either <, >, or = something. calculate something and complete statement.

2007-09-25 19:02:20 · 1 answers · asked by Anonymous

what does x equles?

2007-09-25 18:49:51 · 7 answers · asked by Anonymous

dy/dx= (cos x -sin x)^2

can I do that sum this way:

y= (cosx-sinx)^3 / 3(sinx + cosx)

2007-09-25 18:34:54 · 2 answers · asked by Chocolate Strawberries. 4

2007-09-25 18:33:46 · 2 answers · asked by mandy 1

i have sqrt(2x-x^2) and am trying to move it right by 3 units

2007-09-25 18:11:06 · 2 answers · asked by zack 1

1) 2(2.5b - 9) + 6b = -7

2)12y = 2y + 40

3) 6(c + 4) = 4c - 18

4) 0.7w + 16 + 4w = 27.28

5)24 = -6(m + 1) + 18

6)0.5m + 6.4 = 4.9 - 0.1m

7) 77k - 8 + 2(k + 12) = 52

2007-09-25 18:06:09 · 1 answers · asked by Anonymous

http://s5.photobucket.com/albums/y186/ebaytemp/?action=view¤t=MathGrid.jpg
I think it's 24 because 3 and 6 are both factors of 24. I need to know so I can send my boy to bed. It's been way too long for me. Does anyone know FOR SURE?

2007-09-25 17:56:32 · 4 answers · asked by Cynthia E 2

Just curious, but can anybody prove to me why a triangle is 180 degrees? Thanks in advance.

2007-09-25 17:53:51 · 4 answers · asked by Kwang Joon R 2

find the roots of the equation

z^2 - z + 1 =0, giving answers in the form x +iy where x and y are real

Thanks

2007-09-25 17:53:34 · 8 answers · asked by Mystic healer 4

What is the domain? How did you get it?

2007-09-25 17:40:35 · 4 answers · asked by Meowmix 2

If anyone could explain how the following is done, it would be greatly appreciated!

Prove that in any primitive Pythagorean triple (a,b,c) either a or b must be a multiple of 3.

2007-09-25 17:38:26 · 3 answers · asked by Teah 1

What is the lowest multiple of 49 that is composed of the same digits (e.g. 444, 7777). Please explain how to get this without using a calculator.

2007-09-25 17:37:32 · 2 answers · asked by Shawn B 1

What are the horizontal asymptotes for the following equations:

arctan(x^(4)-x^(2))

cot^(-1) (x^(2)-x^(4))

e^(1/x)

Help would be much appreciated :)

2007-09-25 17:35:09 · 5 answers · asked by tweek_2_4 2

Can someone please help me write an equation and solve this math problem?

A group agrees to share equally in the cost of a $48,000 piece of machinery. If they could find two more group members, each member's share of the cost would decrease by $4000. How many are presently in the group?

2007-09-25 17:25:58 · 5 answers · asked by Alexis's Love Potion #9 4

2007-09-25 17:19:56 · 4 answers · asked by Anonymous

For example, since zero (0) is nothing and there are simple equations that can equal that the simplest being x - x = 0; is there a similar simple equation that would equal infinity? And if there isn't, is it possible that such an equation exists but we haven't figured it out yet?

2007-09-25 17:15:04 · 13 answers · asked by Phoenix Souvenir 3

I am so confused on my logic homework right now. Any help would be appreciated.

2007-09-25 17:14:02 · 6 answers · asked by iridescent_opal 2