Mathematics - 1 December 2007

How do you prove using induction that

b^(x+y) = b^x * b^y

I tried solving it

P(1) holds good where both x+y = 1;

I assume P(n) holds good where n = x+y;

Now to prove if P(n+1) i.e P(x+y+1) I don't know how to go about doing this.

2007-12-01 23:28:42 · 1 answers · asked by scw_0611 1

Can some explain to me what a reciprocal is? Ta.

2007-12-01 23:03:00 · 12 answers · asked by Wassup 3

y=4x-11

2007-12-01 21:45:32 · 7 answers · asked by Anonymous

If i do by "total ways - ways in which women togeather" => 7! - 6!2! = 3600

If i do case by case:-
1)women seperated by 1 man: 1man can be chosen in 6ways, women can arrange themselves in 2ways and remaining 5 men can sit in 5! ways. So (6 * 5! * 2)ways.. Something is wrong here..??
2)Women seperated by 2men: ?? i m confused..

Please help me do by "case by case" method..

2007-12-01 21:42:45 · 3 answers · asked by ʞzɹәႨnɹ 2

m=

how can i solve this?

2007-12-01 21:28:19 · 8 answers · asked by creamy goodness 2

what are the steps i should take?

2007-12-01 21:21:25 · 5 answers · asked by creamy goodness 2

Ok here is the question: Find the equation of the line which is parallel to the line 3x-2y+5=0 and which passes through the point of intersection of the lines 4x+y+3=0 and 5x-2y+8=0

My working:
m=3/2 <--- from 3x-2y+5

(4x+y+3)+k(5x-2y+8)
4x+y+3+5kx-2ky+8k
x(4+5k)+y(1-2k)+(3+8k)
4+5k/2k-1=3/2 <---- gradient of line above
8+10k=6k-3
4k=-11
k=-11/4
(4x+y+3)-11/4(5x-2y+8)
4(4x+y+3)-11(5x-2y+8)
16x+4y+12-55x+22y-88
= -39x+26y-76=0 <------ my answer, however this is wrong and instead it is supposed to be 39x-26y+76=0 according to my textbook.

Where did i go wrong?

2007-12-01 21:18:49 · 4 answers · asked by Anonymous

2007-12-01 20:58:51 · 3 answers · asked by Hessam 1

2007-12-01 20:58:24 · 5 answers · asked by chrys 1

2007-12-01 19:48:55 · 9 answers · asked by Anonymous

Give me the answer in newtons , and give me the information on newtons = how many kg.

2007-12-01 19:27:27 · 9 answers · asked by Ming yu 1

2007-12-01 18:25:02 · 6 answers · asked by tobi 1

The fact that I have to make this so generalized (i.e. with variables) is making me go around in circles. Take a crack at this one:

Prove: Given any two rational numbers, there exists a rational number between them.

I know you start with two rational number defined by a/b and c/d where a,b,c,d are integers. But from there I can't get anything done! Can anyone please help me??

2007-12-01 18:20:58 · 6 answers · asked by netsurfer733 2

I know this is simple but my answer doesn't match the answer in the book. Can you please give a step by step direction in how to get the correct answer. Thank you!

(x + 8)((32 − x^2) − x^2) dx

TO

(256 + 32x − 16x^2 − 2x^3) dx

2007-12-01 18:09:04 · 8 answers · asked by Anonymous

2007-12-01 17:57:59 · 9 answers · asked by Curious in Wpg. 1

"Determine all finite sets S of at least three points in the plane which satisfy the following condition:

for any two distinct points A and B in S, the perpendicular bisector of the line segment AB
is an axis of symmetry for S."

What's it even asking for?

2007-12-01 17:41:03 · 3 answers · asked by UnknownD 6

"Two circles G1 and G2 are contained inside circle G, and are tangent to G at the distinct point M and N, respectively. G1 passes through the center of G2. The line passing through the two point of intersection G1 and G2 meets G at A and B. The lines MA and MB meet G1 at C and D, respectively.

Prove that CD is tangent to G2."

I've been working on this for a little more than an hour and I couldn't even get started. I really wanted to do this on my own, but I couldn't; so please just give me the theorems or laws needed. Thanks!

2007-12-01 17:32:44 · 3 answers · asked by UnknownD 6

2007-12-01 17:29:57 · 1 answers · asked by mybro22 1

inf
E (-1)^(n-1) * e^(1/n) / (3n)
n=1

2007-12-01 17:17:51 · 1 answers · asked by biomes 1

Solve this code if u can.... DBWAIARNNNNOFSD

2007-12-01 17:17:10 · 3 answers · asked by Anonymous

Hey guys, I have a problem to solve and have been doing it incorrectly.

The problem goes:

The average molecular weight of air is 28.9. Assume that air obeys the ideal-gas law, 1 atm = 101300 N/m^2, Avogadro's constant is 6.02214 x 10^23 mol^-1, and k = 1.38065 x 10^-23 Nm/K.
Estimate the number of molecules in a room (5 m) x (14 m) x (19 m) at standard pressure of 101300 N/m^2 and a standard temperature of 273 K. Answer in units of molec.

Any help would be greatly appreciated, thanks very much!

2007-12-01 17:11:53 · 3 answers · asked by Student of Math 2

y < 2x² - 4x - 3

I got the right answers for x-intercepts and the vertex...

where do you shade it? the inside or the outside of the parabola lines? how do you check it?

2007-12-01 16:59:39 · 7 answers · asked by Juan C 6

I have f(x)=f(2x). How do I find the polynomials (or lack of) that make this true (or false). The important thing is how do I prove it?

2007-12-01 16:57:38 · 2 answers · asked by xenero7 2

2007-12-01 16:54:38 · 8 answers · asked by Toralba 2

When attempting to formulate a 'proof of mathematics' you look to the simplest aspects of it, and try to prove those. The simplest aspects of mathematics would be numbers and basic functions, but the basic functions can be defined after we define addition. Of numbers, imaginary, complex, irrational, fractional, and large numbers can all be defined by these basic functions, and other numbers, specifically starting with 1 and 0.

So we have addition, 1, and 0 to prove. It might even be possible to hold out on 0.

Does this make sense? In an attempt to prove mathematics, we should start by trying to prove addition and '1', and building on that?

2007-12-01 16:51:57 · 2 answers · asked by Anonymous

In trying to model the response to a stimulus, psychologist use the Weber Fechner Law. This law states that the rate of a response r, with respect to a stimulus s, is inversely proportional to the stimulus. Write a differential equation to model this law. Solve the differential equation if r(s0)= r0 for some initial stimulus s0,

2007-12-01 16:39:37 · 1 answers · asked by Victor 1

2007-12-01 16:26:31 · 3 answers · asked by krishna k 1

A majic square is one in which the sum of numbers in each of its row or column or diagonal are equal.An odd majic square has 3x 3, or 5x5, 7x7 size .It should have 3,5,or7numbers in each of their rows and columns.The puzzle is how do you go about to construct such squares?

2007-12-01 16:05:23 · 2 answers · asked by bhatta 3

2007-12-01 16:00:28 · 5 answers · asked by ronald n 1

Graph (x^2 / a^2) – (y^2 / b^2) = 1 and (x^2 / a^2) – (y^2 / b^2) = -1 in the same viewing rectangle for values of a^2 and b^2 of your choice. Describe the relationship between the two graphs.

2007-12-01 15:38:16 · 1 answers · asked by ambriz_jesus25 1