Mathematics - 20 July 2007

If a,b,c are real numbers and abc=1 .

Show that 1+ 3/(a+b+c)≧6/(ab+bc+ca)

2007-07-20 23:47:58 · 5 answers · asked by pork 3

Establish the identity.

Show that tan^-1 (x) + cot^-1 (x) = (pi/2)

2007-07-20 23:33:31 · 3 answers · asked by journey 1

Write each trig expression below as an algebraic expression containing x and y.

(1) sec(tan^-1 (x) + cos^-1 (y))

(2) sin(sin^-1 (x) - cos^-1 (y))

2007-07-20 23:25:17 · 1 answers · asked by journey 1

The problem is: A curve is traced by a point P(x, y) which moves such that its distance from the point A(-1, 1) is three times its distance from the point B(2, -1). Determine the equation of the curve.

Ok so ive already figured out that one of the points of the curve is (1.25, -0.5), and the answer to the problem is that the equation of the cuve is 8x^2 - 38x + 8y^2 + 20y + 43 = 0 which is an equation of a circle. but how do i get from the little info that i have to the answer?? please help me

2007-07-20 22:55:44 · 4 answers · asked by Holymasteric 3

(i) Find, in vector form, an equation for the line passing through A and B.

I can't seem to get the answer. The given one is r = (7 -8 7) + t(1 -5 1)

(ii) Find the position vector of the point P on the line AB such that OP is perpendicular to AB.

(iii) Show that the line R - (8i - 5j +2k) + λ(i - 10j +4k) does not intersect the line AB.

2007-07-20 22:53:20 · 2 answers · asked by Anonymous

2007-07-20 22:44:54 · 7 answers · asked by mramahmedmram 3

26,649.66 billion
2,203.86 billion
104,574.85 billion
36,274.14 billion
110.19 billion
example 2 billion would be writen out 2,000,000,0000 how would those other ones be writen out.

2007-07-20 22:12:49 · 7 answers · asked by Michael A 2

please convert into Indian Rupees:-

1. 36,500,000 Pounds (Thirty Six Million Five Hundred Thousand Pounds) = Indian Rupees

2. 1700 Pound

2007-07-20 21:58:11 · 4 answers · asked by Manju 2

Consider the rectangle ((0,0),(2,1))

What is the most creative way of dividing its area in half?
- e.g. by any combination of straight lines, triangles, curves, fractal curves (e.g. Cantor dust), star, ellipse with non-integer exponents, two concentric nautiluses, cyclic curve, other plane curve...
- doesn't have to be just two subshapes, you can use more
- e.g. you could figure out what position and angle another rectangle of equal area overlapping it at some angle would have to be to to cover half its area
- prize is for the most creative!
- also good if you can give coordinates or equations

For inspiration:
http://mathworld.wolfram.com/topics/PlaneCurves.html


(If you think this is easy, the follow-up would be "n different distinct methods of marking out collections of subshapes, each having total relative net area 1/n")

2007-07-20 21:24:08 · 6 answers · asked by smci 7

Add all these numbers and tell me whats the total.
[i need to know how much money to bring to the mall tomorrow]

$29.50
$22.50
$22.50
$26.50
$78.00
$22.99
$39.99
$14.99
$22.80
$17.80
$19.80
$24.99
$46.99
$60.00

I was gonna use a calculator but mine is broken.
And i'm too lazy to do it by hand.

so helpp?? i'll bake you cookies...

2007-07-20 21:15:06 · 25 answers · asked by Anonymous

2007-07-20 21:13:07 · 7 answers · asked by James K 1

10,100 kilometres in stadard form. Show the way!!

2007-07-20 21:12:03 · 11 answers · asked by Anonymous

P= 2 and Q= 3
-3 1

Write p+q as a column Vector.

2007-07-20 21:01:57 · 3 answers · asked by Anonymous

2007-07-20 20:51:50 · 42 answers · asked by Anonymous

the highest mountain in Argentina is Aconcagua. Its height is 6960 metres, correct to the nearest twenty metres.. Write the smallest possible height of Aconcagua. and show ur method.....

2007-07-20 20:50:08 · 4 answers · asked by Anonymous

Triangles have an entire section of math devoted to them.
Circles get to hang out with pi.
Squares get to be all igostical by squaring things to make itself.
But no one cares about the rectangle: length times height=area, he's boring so no one cares about him.

We should turn rectangle (and maybe rhombus) into sexual innuendo so the shapes feel cool and edgy.

2007-07-20 20:43:47 · 9 answers · asked by Anonymous

Top leading mathematical fungineers predict by the year 2029 humans will have advanced enough in fungineering to create brand new numbers. Can you imagine what would happen to the laws of gravity and magnetism if a terroist where to create a new whole number between 3 and 4!!!!!!!!!!!!11

2007-07-20 20:38:35 · 3 answers · asked by Anonymous

1. The cost of producing x thousands of a certain product is given by:
C(x) = 9x - 3x^2 + 2x^2
At what production level x is the marginal cost Increasing and decreasing?

2. Find the critical points for the following functions and determine whether the function has a local maximum or local minimum at each critical point.
(a). f(x) = xe^(-x)
(b). f(x) = 6+x -x^2






























. The cost of producing x thousands of a certain product is given by:
C (x) = 9x -3x^2 + 2x^3

At which production level x is the marginal cost:
Increasing and decreasing?

2. Find the critical points for the following functions and determine whether the function has a local maximum or local minimum at each critical point.
(a). f(x) - xe^(-x).
(b). f(x) = 6 + x-x^2

2007-07-20 20:03:24 · 1 answers · asked by gab BB 6

2007-07-20 19:27:38 · 5 answers · asked by Anonymous

A division of Carter Enterprises produces "Personal Income Tax" diaries. Each diary sells for $8. The monthly fixed costs incurred by the division are $25,000, and the variable cost of producing each diary is $3.

A. What should be the level of sales in order for the division to realize a 15% profit over the cost of making the diaries?

2007-07-20 19:07:43 · 5 answers · asked by ehsan 2

2007-07-20 19:05:47 · 3 answers · asked by Anonymous

2007-07-20 18:57:16 · 7 answers · asked by diana k 1

V=1 over 3 pie r ^2h where r is the radius and h is the height

2007-07-20 18:36:07 · 6 answers · asked by diana k 1

I have 2 moles on my face which make me the worse.i want to cut them with a knife .what will happen.willt eh mole again will grow or skin will grow

2007-07-20 18:28:08 · 11 answers · asked by srinu710 4

solve the problem

2007-07-20 18:24:54 · 9 answers · asked by diana k 1

Maple syrup worth 6 dollars corn syrup wortth. 80cents a gal. are used to make a mix worth 2.36 a gallon.How many gallons of each kind of syrup are need to make 50 gallons of the mixture

maple syrup is 45 gallons? corn syrup is ___gallons
i cant get the corn syrup.

The length of a rectange is 2 inches than 3 times the number of inches in its width.If the perimeter of the rectangle is 28 incehs what is the width and lenght of the rectangle

length is 12 width is 84?

is this right.help if not

2007-07-20 18:18:57 · 2 answers · asked by percy m 1

2 /10x -5 / 10/2x-1

2007-07-20 18:15:33 · 6 answers · asked by Anonymous

2007-07-20 18:09:14 · 7 answers · asked by Alec 2

What is the denominator once its simplified

2007-07-20 17:49:53 · 9 answers · asked by Brunette 1

4(0.18x+sqrt 2)=sqrt 11 x+1

x=_____
(round to nearest hundredth)

2007-07-20 17:42:29 · 5 answers · asked by hllywdbabe7 1