Science & Mathematics - 4 August 2007

Let C be the path counterclockwise around the circle given by x^2 + y^2 = 16.

Then if f(x, y) = (sin x)(cosh y) and g(x, y) = (-cos x)(sinh y), how would you evaluate the integral...

∫ f(x, y) dx + g(x, y) dy
C

which of these is the correct response?

a. 4π
b. 6π
c. 8π
d. 0
e. -4π
f. -6π
g. -8π
h. none of these

2007-08-04 08:56:33 · 2 answers · asked by Olivia 4 in Mathematics

All scientific research starts with a hypothesis. This hypothesis must have observable evidence which supports it. Predictions are then made from the hypothesis. Then observations and experiments are used to test to see if the predictions confirm, or falsify the hypothesis. After a lot of testing - when all observations and tests confirm the hypothesis and there is no irrefutable evidence against it - then the hypothesis becomes a workable theory. If the evidence which confirms the hypothesis is an indisputable fact - then the theory becomes a law of science. Like the law of entropy, gravity, and biogenesis. Now how would you test Darwinian evolution to determine if it is a fact or a myth? What facts prove macro Darwinian evolution? Finally, since micro-evolution or pre-programmed genetic variations, is not the same as marco-evolution; micro-evolution cannot be used as proof.

2007-08-04 08:55:26 · 10 answers · asked by Jeremy Auldaney 2 in Earth Sciences & Geology

A curve has slope 2x+3 at each point (x,y) on the curve. Which of the following is an equation for this curve if it passes through (1,2)?

A function f has a Maclaurin series given by x^4/2! + x^5/3! + x^6/4! +...+ x^(n+3)/(n+1)!+... Write an expression for f(x).

The number of moose in a national park is modeled by the function M that satisfies the differential equation dM/dt = 0.6M(1-M/200) where t is the time in years and M(0)=50. What is the limit of M(t) as t approaches infinity?

What are all the values of p for which the infinite series summation of n / (n^p + 1) from n=1 to infinity converges?

2007-08-04 08:54:52 · 3 answers · asked by JYC 1 in Mathematics

Would it be 1.5 cc's? Sylvia

2007-08-04 08:51:37 · 8 answers · asked by ladyofyorkies 3 in Medicine

Perform the indicated operation . Simplify if possible .


( 7 ) / ( m + 7 ) + ( m ) / ( m + 7 )



Problem 2


Divide. Simplify if possible.

(x + 4 ) / ( x + 4 ) / ( 7x + 6 ) divided by ( 7) / ( 7x + 6 )

2007-08-04 08:45:52 · 4 answers · asked by Anonymous in Mathematics

where do they live? Do they have family?

2007-08-04 08:44:25 · 6 answers · asked by Anonymous in Zoology

If its 0 degrees today, and tomorrow is supposed to be twice as cold, what temperature will it be tomorrow?

2007-08-04 08:40:44 · 12 answers · asked by BiscuitFromMars 3 in Weather

"determine the domain for eat of the following functions. state if the function is continuous or discontinuous and where any holes or asymptotes occur."

those are my instructions i'll only put one function here and ill figure the rest out on my own.

F(x) = 2x + 6

I forgot how to do this >_> thanks for the help :D

2007-08-04 08:36:26 · 3 answers · asked by agentofdoom@sbcglobal.net 2 in Mathematics

Let the vector force function F(x, y, z)= (2x - y) i + (2z) j + (y - z) k . Find the work done by the force F on an object moving along the straight line from the point (0, 0, 0) to the point (1, 1, 1) .

these could be possible solutions...


a. 3/2
b. 5/2
c. 4
d. 9/2
e. 11/2
f. 17/2
g. 27/2
h. 33/2
or it is none of these

2007-08-04 08:34:49 · 3 answers · asked by Doug 2 in Mathematics

Let y=f(x) be a solution to the differential equation dy/dx = x + y. What is the approximation for f(2) if Euler's method is used, starting at x=1 with a step size of 0.5?

What are all the values of p for which integral 1/x^(2*p) dx converges from 0 to infinity?

What is the value of summation from n=1 to infinity, 2^(n+1) / 3^n?

The Maclaurin Series for 1/(1-x) is summation from n=0 to infinity, x^n. Write the first four terms of the power series expansion for x^2 / (1-x^2).

A curve C is defined by the parametric equations x=t^2-4t+1 and y=t^3. Write an equation for the line tangent to the graph of C at the point (-3,8).

2007-08-04 08:34:48 · 1 answers · asked by JYC 1 in Mathematics

2007-08-04 08:31:10 · 4 answers · asked by Anonymous in Earth Sciences & Geology

2007-08-04 08:30:13 · 20 answers · asked by an4 1 in Mathematics

A set M is seperable if there is a countable dense subset P of M.

I'd like to run my argument by you guys.

Here is my solution: I believe that C[0,1] is not seperable. To prove this I would like to have an uncountable discrete subset. Now, any a in [0,1] has a unique infinite expression mod 2. For a = 0.(a_1)(a_2)(a_3)... there is a continuous function f_a on [0,1] s.t. f_a(y) = 0 whenever y = 1/2 +...+1/(2^n) and a_n = 0, f_a(y) = 1 whenever y = 1/2 +...+1/(2^n) and a_n = 1 For any other y, 1/2 +...+1/(2^n)< y <1/2 +...+1/(2^n) + 1/2^[n+1]) for some positive integer n. Hence we define f_a(y) = [a_(n+1) - a_n]/2^(n+1)(x - [1/2 +...+1/(2^n)])

It is easy to see that the distance between f_a and f_b is 1 for a<>b. Furthermore, there are as many such functions as sequences over {0,1}.

Hopefully the idea behind my solution is expressed clearly enough.

I'd appreciate any other solutions

2007-08-04 08:24:57 · 2 answers · asked by guyava99 2 in Mathematics

2007-08-04 08:24:42 · 4 answers · asked by Wrong number 5 in Earth Sciences & Geology

ok u redy












Is there a polynomial f(x,y) with real coefficients so that the set of values of the polynomial as x and y vary over the reals is the open interval (0, infinity)?

2007-08-04 08:23:58 · 3 answers · asked by FREE HUGS 5 in Mathematics

2007-08-04 08:21:03 · 5 answers · asked by Anonymous in Mathematics

Let's say i take a jet which flies at a very high speed. I take off from Europe at 10.00AM to USA and i reach USA in 3 hours local time 6AM. Does this mean that i've been in the past?

It's kinda cool because i would be able to see the same sunrise twice a day . lol

2007-08-04 08:16:30 · 11 answers · asked by Cristian 3 in Astronomy & Space

How can you prove to someone that soul exists?
A person says it biological, scientist can take whats in a male and female and then they can create a person with soul.
- Besicaly they take female egg and male sperm, and they can put those in a somekind of tube and a child is born with a soul.

2007-08-04 08:15:53 · 12 answers · asked by Salaama 2 in Biology

What makes the prices of nuclear fuels (i.e. plutonium, uranium) stable? Are they that abundant?

2007-08-04 08:13:53 · 3 answers · asked by Meollo de la vida 2 in Earth Sciences & Geology

2007-08-04 08:08:46 · 6 answers · asked by Anonymous in Mathematics

2007-08-04 08:07:23 · 4 answers · asked by Anonymous in Earth Sciences & Geology

it sounded like a baby screeming on the top off it lungs heard it at about 8:30pm and 3:30am

can somebody tell me what it is

2007-08-04 08:07:00 · 4 answers · asked by Bubbles KissyQuails 3 in Zoology

3z^2+z over 18+6


5x-25 over x^2-25


3x^2-3 over 6x-6


y^2+2y-3 over y^2 -3y+2

m-3 over 3-m

2007-08-04 08:00:13 · 2 answers · asked by Anonymous in Mathematics

Electricity is such energy that available anytime with many durable sources. But the devices that use it must be connected to Electricity Supplier anytime.
I mean, if the energy can be stored in powerful battery, it will solve the oil problems such as in automotive. Is there any concern to make the battery be more powerful as a priority to scientists?

2007-08-04 07:59:35 · 9 answers · asked by agulinovich 3 in Physics

Linnaeus proposed that which of the following is the smallest unit of organization?

A. Species
B. Kingdom
C. Genus
D. Order
E. Phylum

2007-08-04 07:59:20 · 3 answers · asked by Anonymous in Botany

I'm not cheating on my homework. I'm revising and this bit doesn't make sense to me. It doesn't seem to explain it in the textbook. The E horizon is a level at the base of the topsoil which is a strongly leached.

2007-08-04 07:59:15 · 4 answers · asked by Anonymous in Other - Science

m+4 over m - 6


r+6 over r^2-r-6


9y+8 over y


37m^4n^3 over 24m^2n^5


(x+4)(x-3) over (x+5)(x+4)

2007-08-04 07:57:35 · 3 answers · asked by Anonymous in Mathematics

2007-08-04 07:53:47 · 7 answers · asked by Anonymous in Biology

This is a my son's science project. and i would just like to help him out..

2007-08-04 07:52:55 · 2 answers · asked by Mat's mom 1 in Chemistry

2007-08-04 07:47:03 · 9 answers · asked by rob a 1 in Mathematics