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Mathematics - 23 September 2006

[Selected]: All categories Science & Mathematics Mathematics

Can we use the "discriminant way" for this...?
The curve y = (k-6)x^2 - 8x + k cuts the x-axis at two points and has a minimum point. Find the range of values of k.

2006-09-23 23:33:11 · 5 answers · asked by unquenchablethirst 2

1.Numerical Integral :-
trapezoidel method , Simpson's 1/3 rule and Gauss-Ledender
method.
2.Numerical solution of normal diffrential equations:-
Taylor's series method , Euler's method , modified Euler's
method , second - order Runge Kutta method and Forth - order
Runge Kutta method .
3.Numerical solution of linear system of equations:-
Gaussian elimination method , Gauss-Jordan method .
4.Interpolation and extrapolation :-
Finite differences , Lagrange interpolating polynomial and least
scuare and curve fitting .

2006-09-23 23:01:43 · 3 answers · asked by Anonymous

int(r^3/sqrt(4+r^2))dr on the interval [0,1] using integration by parts

I've tried setting r^3=u =>du=3r^2 and setting dv=1/sqrt(4+r^2)
=>v=ln(r+sqrt(4+r^2))
This leads to the following:
int(r^3/sqrt(4+r^2))=(r^3)(ln(r+sqrt(4+r^2))) - int((3r^2)(ln(r+sqrt(4+r^2))))dr
This is the point I'm stuck at. Do I integrate by parts again? If so, what are my u and dv?

2006-09-23 22:36:36 · 6 answers · asked by Voodoo6969_98 2

math is so boring to me,is there a way to make it more interesting?

2006-09-23 22:29:54 · 12 answers · asked by The dude 1

2006-09-23 22:22:53 · 9 answers · asked by ? 6

Angles and their measure , 1/360 the part of one complete rotation is 1 degree. Why it is 360 only why not any other number ?
1/60 th part of 1 degree = 1 minute. Why it is 60 only why not 360.

2006-09-23 22:04:39 · 9 answers · asked by ? 1

i want to be an a student and i don't know how

2006-09-23 21:57:35 · 18 answers · asked by nomi 1

0

1. Show how to write the set of irrationals as a countable intersection of cofinite subsets of R.

2. Let A be an uncountable subset of R.
Prove that there is a subset of distinct elements {a_n : n=1,2,...} of A such that sum of a_n (from n=1 to infinity) diverges.

2006-09-23 21:33:32 · 2 answers · asked by KYP 1

1. (a) show how to write N(natural numbers) as the union of infinitely many infinite pairwise disjoint subsets.
(b) show how to write N(natural numbers) as the union of uncountably many sets with the property that, given any two of them, one is a subset of the other.

2. Let D be a countable set of points in the plane R^2,
Prove there exist sets A and B such that D = A U B,
where the set A has finite intersection with every horizontal line in the plane and B has finite intersection with every vertical line in the plane.

2006-09-23 21:25:10 · 2 answers · asked by KYP 1

Did you do well with it as a child? Did you struggle with boring aspects but thrive in what we seemed to be harder ones? Meaning, if say you struggled with fractions but yet didn't have trouble understanding the formula for pi. And lastly, did you find that you made up a lot of your own algotherims rather then settle for how the book or teacher taught you?

I'm just curious. Thanks for your time.

2006-09-23 20:57:55 · 7 answers · asked by FreeThinker 3

4

Hi,

How do you integrate (2x^2)/(1+x^2)?

I appreciate any help. Thank you!

2006-09-23 20:13:29 · 5 answers · asked by sky_blue 1

if r(x)= 6x+5 and s(r(x))= 2x-1, then s(x)= ?

2006-09-23 19:44:43 · 8 answers · asked by ibid 3

2006-09-23 19:38:31 · 8 answers · asked by James N 1

pls help ,its lacks me backward in results

2006-09-23 19:29:52 · 9 answers · asked by Payal 1

2006-09-23 19:21:51 · 14 answers · asked by Mohamed Jalil 1

find f'(x) by finding lim h->0 f(x+h)-f(x) over h. for:
f(x)=3x^2+4x+3

2006-09-23 18:52:40 · 6 answers · asked by o_fungus.amongus_o 1

I need help with proofs in geometry.
Im havin trouble just rembering what property goes where and what not so please hekp with anything you know

2006-09-23 18:33:04 · 6 answers · asked by Matt S. 2

How you can get the number 10 by using FIVE 9's with 10 different ways...all mathmatica operations are allowedl

2006-09-23 18:31:59 · 4 answers · asked by M. Abuhelwa 5

pls include proper steps and working for the questions. extra explaination on steps would be highly appreciated. Help needed urgently.. Thks for helping

1. Find all the angles between -360 degree and 180 degree such
that

(a) sin x = - 0.5
(b) cos x = (√3) / 2
(c) tan (-x) + 1 = 0
(d) (√2) sin (90 degree -x) +1 = 0


for your information, here are the ans.. pls give me the steps in achieving this ans.
(a) -150, -30
(b) -330, -30, 30
(c) -315, -135, 45
(d) -225, -135, 135
*** ALL ANSWER ARE IN DEGREE!!***

2006-09-23 18:03:07 · 5 answers · asked by Anonymous

what is the antiderivative of f(x)=2sin(x^2)?

2006-09-23 17:58:43 · 7 answers · asked by fender_tri 1

2006-09-23 17:56:28 · 7 answers · asked by K.D. O 1

i bought a ti-89 on ebay and the person didnt have the handbook so if there is like one online so i can print it out....please tell me

2006-09-23 17:53:18 · 4 answers · asked by Danny m 2

Need HELP . Find the equations of the tangents to the curve y=x^3-6x^2+12x+2 which are parallel to the line y=3x.
Could someone help me out step by step to work this out. Should show up with two linear equations with same gradient.

2006-09-23 17:38:40 · 3 answers · asked by o_fungus.amongus_o 1

nd also tell me what mod mean plz...i dink is sumdin modular system...but i dunno what it mean...

2006-09-23 17:30:09 · 5 answers · asked by Ling 2

correct answer gets the best question

2006-09-23 16:20:22 · 12 answers · asked by whosyourdaddy 3

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