Mathematics - 30 November 2007

2007-11-30 22:55:18 · 11 answers · asked by Nika 1

I cant seem to find the solution Im looking for.

Its intuitively obvious to me that the solution (one of them) can and should be +3. After all, (−2)³ = −8.

But every route I take, mathematically, either on paper or via calculator, gives me the exact same solution. Its a weird complex value.

Testing it verifies that it is -a- correct solution, as raising −2 to the solution I keep arriving at does yield −8.

How many solutions does log_{−2} (−8) have? Because I cant seem to reach an answer of 3

log_{−2} (−8) =
ln (−8) / ln (−2) =
[ ln (−1) + ln (8) ] / [ ln (−1) + ln (2) ] =
[ π⋅i + ln (8) ] / [ π⋅i + ln (2) ]... this is the solution I keep getting

Or, in polar form
√[ ( ln² 8 + π² ) / ( ln² 2 + π² ) ] ⋅ cis [ arctan (π/ln 8) - arctan (π/ln 2) ]

The absolute value of the above solution is slightly greater than 1, but less than 2. Should not the absolute value be 3 if +3 is also a valid solution?

2007-11-30 22:35:05 · 4 answers · asked by Anonymous

FORM A CONJECTURE FOR THE SERIES :

1^K +2^K +3^K + 4^K +......+ N^K

HINT: MAKE USE OF PATTERNS OBSERVED IN
1+2+3......+N
1^2+2^2+3^2+......+N^2
1^3+2^3+3^3+.....+N^3.......
ETC

MATHS GENIUSES PLEASEEE HELP ME WITH THIS. I CANT SOLVE THIS. ITS DAMN TOUGH. I'D BE INDEBTED TO U IF U CAN HELP.
THANK U. GOD BLESS U!!

2007-11-30 21:57:37 · 1 answers · asked by Anonymous

thanks :)

2007-11-30 21:24:52 · 5 answers · asked by seany c 1

ok here goes nothing....During a promotion, a music store gives a free CD to every fifteenth customer and a free DVD t oevery fortieth cutomer. Which customer well be the first to get both gifts? HELP!!!!!

2007-11-30 21:12:11 · 8 answers · asked by Anonymous

I did manage to figure out one (I believe anyhow) but I'm not quite sure how to check it.

x^-2 + x^-1 -6 = 0

Now, I've deduced that the answers are x= -1/3 and 1/2, but I'm not feeling confident on how I've plugged them in to check.

2007-11-30 20:30:06 · 2 answers · asked by Wildfire 2

How do I find it's area?

2007-11-30 19:49:33 · 6 answers · asked by Trisha 2

2007-11-30 19:39:51 · 4 answers · asked by Scythian1950 7

find inverse of


f(x) = 2x + 3/ x+2

I set up to solve for Y and can't get the rught anwser, how do you do this??/

2007-11-30 19:31:03 · 7 answers · asked by ahn 1

oo
E 3ln(2k) / k^2
k=1

i was thinking of the comparison test...would that work and how?

2007-11-30 19:26:04 · 3 answers · asked by swt16 1

Is the cube root of -8 an imaginary number?

2007-11-30 19:22:14 · 7 answers · asked by sillyboys_trucksare4girls 2

please explain me how 0.999999999... a nonterminating number as when it is converted into rational number the answer comes out to be 1. Please explain each and every PART of the question

2007-11-30 19:14:13 · 4 answers · asked by Anonymous

2007-11-30 19:13:14 · 4 answers · asked by Trisha 2

how do you solve for x in the equation 10^x = 0.1

2007-11-30 18:59:29 · 5 answers · asked by Anonymous

int x^3(x^4+3)^2dx

2007-11-30 18:57:47 · 5 answers · asked by nala 1

Add. Express your answer in simplest form.

2x 4
-------------------- + ----------------
x^2 + 15x + 54 x+8

i mean 2x/x^2 + 15x + 54 + 4/x+8



Help please!!!

2007-11-30 18:48:16 · 2 answers · asked by Anonymous

The problem is: (-3 + i) / -3i

Thanks for the help!

2007-11-30 18:38:47 · 4 answers · asked by sillyboys_trucksare4girls 2

equalities and congruence are examples of relations. a relation that is reflexive, symmetric, and transitive is the equivalence relation. which of the following are equivalent relations??

a- >
b- is the brother of
c- ≠
d- is a complement of

2007-11-30 18:38:46 · 1 answers · asked by Anonymous

given 4 points ( 0 0 0) ( 1 0 0) ( 0 2 0 ) and ( 0 0 3), please explain how to find the equation of the plane which they form

the equation is 2z + 6x + 3y = 6

is there a quick way of finding this equation instead of finding an orthogonal vector and plugging it into the equation of a plane?

2007-11-30 18:38:45 · 4 answers · asked by phil h 2

I was looking at those floating round beds or whatever you call them, & I was thinking about getting them someday. There is one problem though, I am not good at diameters. Which one would a 6th foot tall person like better: A 4, 7, or 8 diameter bed. Actually I have forgotten so would a 5 diameter bed be 5 feet across all ways? I'm not a hundred percent sure.

2007-11-30 18:23:21 · 3 answers · asked by Anonymous

Use the most appropriate method to solve the following equation on the interval [0, 2Pi). Use exact values where possible or give approximate solutions correct to four decimal places.

cosx – 5 = 3cosx + 6

2007-11-30 18:16:56 · 4 answers · asked by ambriz_jesus10 1

Find all solutions for the following equation.

3sin0(theta) + 5 = -2sin0(theta)

2007-11-30 18:08:42 · 2 answers · asked by ambriz_jesus9 1

2007-11-30 18:08:32 · 6 answers · asked by Anonymous

Use substitution to determine whether the given X-value is a solution of the equation.

cos 2x/3 = -1/2, x = Pi

2007-11-30 18:07:55 · 2 answers · asked by ambriz_jesus9 1

Find the equation of the line tangent to the circle x^2+y^2=28 at the point (3 sqrt 2, 3)

2007-11-30 18:00:54 · 3 answers · asked by AshUK 1

2x^3-3x^2-36x+5

2007-11-30 17:58:37 · 4 answers · asked by 2789 2

i want to know what is bluetuth and its function.

2007-11-30 17:57:59 · 17 answers · asked by Susanta D 1

hi, I'm really having trouble making sketches of planes. I know how to graph an equation of a plane with 2 variables in R^3. ex. y = x , I draw the line y = x and then that line repeats itself vertically throughout the z axis. but how do you graph equations of planes with 3 variables?

ex. x + 2y + z = 2? thanks

2007-11-30 17:57:56 · 1 answers · asked by phil h 2

2007-11-30 17:54:15 · 2 answers · asked by johnny b 2

2007-11-30 17:45:51 · 2 answers · asked by ALESANA 7