Mathematics - 12 July 2007

integrate: (x^2 + 1) / (x^4 + 1) wrt dx.

hint: the integral can be also wirten as (1 + 1/x^2) / (x^2 + 1/x^2 + 2 - 2).......

2007-07-12 23:53:10 · 1 answers · asked by Secret L 1

Remaining Trig Functions of Theta.

(1) sin(theta) = -(2/3), where pi < theta < (3pi/2).

(2) cos(theta) = 4/5, where 270 degrees < theta < 360 degrees.

2007-07-12 23:47:02 · 4 answers · asked by journey 1

Let t = theta.

If cos(t) = 0.2, find the value of cos(t) + cos(t + 2pi) + cos(t + 4pi).

2007-07-12 23:33:37 · 5 answers · asked by journey 1

Find the exact value of each of the remaining trig functions of theta.

Let t = theta

(1) cos(t) = 3/5, where t lies in quadrant 4

(2) sec(t) = -2, where tan(t) > 0

2007-07-12 23:23:17 · 5 answers · asked by Sharkman 1

Use the fact that the trig functions are periodic to find the exact value of each expression. Do NOT use a calculator.

(1) sin390 degrees

(2) csc(9pi/2)

2007-07-12 23:15:15 · 2 answers · asked by Sharkman 1

OK, here's the question:
A line from vertex C of triangle ABC bisects the median from A, meeting AB at E. Prove that E divides AB in the ratio 1 : 2.

2007-07-12 22:56:10 · 4 answers · asked by Akilesh - Internet Undertaker 7

2007-07-12 22:47:42 · 5 answers · asked by ice 1

Hi.
I have the following log problems that I can´t solve. I have the answers but I don´t know how to go about getting it. Could someone please walk me through the solution step by step so I can learn how this is done?
1) 2 log base3 (x-1) + log base3 9 = 2 ; (2 times log base 3 (x-1) + log base 3 and then 9 = 2).
2) ln(x+7) - ln(x+2) = ln(x+1)
Thank you!

2007-07-12 22:38:04 · 4 answers · asked by F 6

a. -40.
b. 35.
c. 50.
d. 75.
e. 85.

2007-07-12 21:43:04 · 8 answers · asked by RocK Baby 4

A salt water tank has 100 KG of salt and 500L of water. The input of salt water going in is 10L/sec, with a concentration of 1K/L. The output is whatever concentration is in the tank at time T, at a rate of 10L/sec. Assume perfect mixing of salt in the tank. What expression in terms of T can represent the amount of salt F(T)? Will integration be required on any part of this?

2007-07-12 21:35:31 · 2 answers · asked by Tina N 1

a. 1/6.
b. 2/8.
c. 2/3.
d.1/3.
e.3/6.

2007-07-12 21:17:00 · 11 answers · asked by RocK Baby 4

Factor the polynomial completely. If the polynomial cannot be factored, write prime.
15x2 + 16x + 4

(3x - 2)(5x - 2)
(3x + 2)(5x + 2)
(15x + 2)(x + 2)
prime

2007-07-12 20:18:09 · 4 answers · asked by Anonymous

Factor the polynomial completely. If the polynomial cannot be factored, write prime.
9z2 - 6z - 8

(3z + 2)(3z - 4)
(9z + 2)(z - 4)
(3z - 2)(3z + 4)
prime

2007-07-12 20:16:22 · 3 answers · asked by Anonymous

Find a positive value of the given variable so that the trinomial is factorable.
5x2 + 8x + c; c = ?

8
9
3
4

2007-07-12 20:14:58 · 4 answers · asked by Anonymous

Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?

i need to know the formula used to find the answer to this problem. if you know the formula i'd really appreciate your help. thanks.

2007-07-12 20:04:34 · 3 answers · asked by klept_oh 2

use something like this :

(stats) / / // (end)


thanks

2007-07-12 18:59:20 · 4 answers · asked by Anonymous

I've always wondered if you do all the math in your head or your sitting there with your handy dandy paper and pencil, kindly helping everyone out...?
Man, you people are so smart! Seriously!

2007-07-12 18:55:01 · 9 answers · asked by jaz 5

I'm having trouble understanding how 2x^3 -3x^2 - 3x+2 = 0
becomes (x-2) (x + 1) (2x-1) = 0 when factored. Plz help.

2007-07-12 18:48:44 · 7 answers · asked by Anonymous

If sin θ = y/r, cos θ = x/r, tan θ = y/x, then: arcsin y/r = θ, arccos θ = x/r, arctan θ = y/x and the same holds true for the rest of the trig functions? Say csc θ = r/y, then arccsc r/y = θ??

2007-07-12 18:26:19 · 3 answers · asked by Jorm 3

The perimeter of a rectangular field is P feet. The width of the field is 200 feet less than its width. In terms of P, what is the length of the field in feet?

Please include the steps towards getting the answer. Thanks!

2007-07-12 18:08:07 · 11 answers · asked by Karina C. 2

I always have a hard time foiling cubed functions:
For example (2+h)^3

Can anyone show me a process on how to do these kind of problems.

2007-07-12 17:54:59 · 6 answers · asked by Willie M 1

Factor. 3a2(a – b) – 6a(a – b) + 21(a – b)

A) 3(a – b)(a2 – 2a + 7)
B) (3a – b)(a2 – 2a + 7)
C) (a – b)(3a2 – 6a + 21)
D) 3(a – b)(a2 – 6a + 21)

Choose correct answer

2007-07-12 17:54:59 · 6 answers · asked by Somebody 2

solve for the letter z

2007-07-12 17:54:37 · 7 answers · asked by breezy_0602 1

Can anyone help me solve this for the value of x plz?


(x + 1)^2 (x – 2) + (x + 1) (x – 2)^2 = 0

2007-07-12 17:51:02 · 6 answers · asked by Anonymous

if working alon, Phil can complete a job in R hours and henry can complete the same job in S hours, how many hours would it take them to complete the job TOGETHER?
solution:
H/R + H/S= 1 okay, so why the equals to 1? why 1?
answer: H= RS/S+R

2007-07-12 17:49:48 · 3 answers · asked by soccerjock 2

State which method should be applied as the first step for factoring the polynomial.
2a2 + 9a + 10

A) Use the ac method (or trial and error).
B) Find the GCF.
C) Group the terms.
D) Factor the difference of squares.

2007-07-12 17:39:36 · 4 answers · asked by Somebody 2

2007-07-12 17:08:10 · 11 answers · asked by hodge1974 1

2007-07-12 16:53:17 · 10 answers · asked by lets.dancex3 1

a rectangle is five times as long as it is wide. If it were 34 cm shorter and 24 cm wider, it would be a square. what are the dimensions?

2007-07-12 16:49:58 · 8 answers · asked by michchristine 2

2007-07-12 16:31:04 · 6 answers · asked by none 1