Mathematics - 4 August 2007

Determine if the following series converge or diverge:

A. summation of (sin 2 / pi)^n from n=0 to infinity
B. summation of (1/n^(1/3)) from n=1 to infinity
C. summation of (e^n / (e^n +1)) from n=1 to infinity

2007-08-04 09:14:03 · 5 answers · asked by Anonymous

If there is a race with 5 competitors, all equally skilled, is there any way to accurately predict the outcome? Or give yourself an advantage?

2007-08-04 09:13:23 · 4 answers · asked by jk1337 1

Perform the indicated operation .

Simplify if possible .

(18) / (2x) + (54) / ( 9x)



Problem 2


Solve the problem.
A board of length (5) / (x + 6 ) inches was cut into two pieces. If one piece is ( 2) / ( x - 6 ) inches, express the length of the other board as a rational expression.

2007-08-04 09:12:07 · 5 answers · asked by Anonymous

Integrate (2x) / ((x+2)(x+1)) dx.

Let P(x) = 3x^2 - 5x^3 +7x^4 + 3x^5 be the fifth degree Taylor polynomial for the function f(x) about x=0. What is the value of f'''(0)?

2007-08-04 09:08:58 · 2 answers · asked by Anonymous

2x^2 over 3 times 6 over x^6


a^2b^6 over 4 times 2 over a^2b^3


4 over x+2 times x^2-4 over 4x-8


z^2-z-6 over z-6 times z^2-6z over z^2 +2z-15


w^2-16 over w times 3 over 4-w

2007-08-04 09:04:30 · 2 answers · asked by Anonymous

Million, billion, trillion, quadrillion, quintillion - how high does it go until you just have to start saying 'million million million...."

Is a zillion a real number?

2007-08-04 09:02:14 · 3 answers · asked by Anonymous

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

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

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

"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

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

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

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

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

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

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

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

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

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

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

Solve the problem. Sandra scored 129 points in 11 games of the basketball season. Find her average points per game. (Round to the nearest whole number, if necessary.)

A ) 1419 points/game
B ) 13 points/game
C ) 1420 points/game
D ) 12 points/game



Problem 2

Multiply. Simplify if possible.

(y^2 - m^2) / ( y + m) * (y) / (y^2 - ym )

2007-08-04 07:44:36 · 4 answers · asked by Anonymous

For this I got 5, however, the answer sheet says a different answer. I am a bit confused, can someone see if they get 5 as well? Also, for this problem: (8 - 7)×6 - 10/5 + 4 my answer is 0, yet the answer sheet says different. If anyone knows the answer, could they please explain, because I am lost then.

2007-08-04 07:31:06 · 12 answers · asked by ? 1

Solve .

y varies directly as x^2 .

If y = 112 when x = 4 , find y when x = 6 .






Probem 2




Simplify the expression.

(a^2 - ab + 4a - 4b ) / (a + 4 )

2007-08-04 07:28:22 · 5 answers · asked by Anonymous

"anti-derivative" isn't helping. Hypothetical Examples would help.

2007-08-04 07:22:18 · 7 answers · asked by Ar J 2

6 electrical engineers, 2 teachers, and 1 physicists?

2007-08-04 07:16:23 · 3 answers · asked by Anonymous

How many 3-digit numbers less than 500 have only odd digits?

2007-08-04 07:15:15 · 4 answers · asked by Anonymous

2/5 (two over five) - y/ y - 2 (y over y minus two). I thought i had it, but the answer was wrong.

2007-08-04 07:15:06 · 6 answers · asked by jrseeg1rl 2

f(x)= 3sin^-1x+5tan^-1x

2007-08-04 07:10:42 · 3 answers · asked by gistrm 1

Solve for x:(2x-3)/4<(3x+1)/3


Please Show your Solution!

2007-08-04 07:05:36 · 7 answers · asked by blahblah 2

When I solve indefinite integrals, I tag on the +c to the answer. Here is an example:

Integral (x^2 dx) = (1/3)X^3 + C

But what is the "C" and what does it mean? Can you also explain it for me for multi-variable integrals too?

2007-08-04 06:59:21 · 10 answers · asked by Anonymous