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Mathematics - 15 December 2007

[Selected]: All categories Science & Mathematics Mathematics

in this problem t= theta

consider the planar curve given by
x(t)= t ln t , y(t)=sin t 0< t< +infinity

a)calculate x', x'', y', y''

b)find the values 0< t< +infinity where the tangent is horizontal or vertical

c)write down (without calculating) a formula that describes the length of the segment of the curve corresponding to 1< t< +infiniti

2007-12-15 09:08:06 · 1 answers · asked by Anonymous

What is the exact value of sin(arccos 3/5) and why?

2007-12-15 09:06:14 · 6 answers · asked by Ash 2

Hi, I'm 12(7th grade), and I need help(or perhaps to answer to) with the following problem:
"Start with the number 1-double it, you get 2-double it, you get 4-double it, you get 8. Starting with the number 1, how many times will you have to double, so that the doubled number is over ten million?"
I'd really appreciate thorough answers and don't answer with useless things like "do it yourself", because I have tried that, and asked my parents. Thanks!

2007-12-15 08:59:26 · 7 answers · asked by Anonymous

The equation is

d2y/dx2 + dy/dx + y = f(x);
y(1) = 3 ; y (3) = 5;
f(x) = 4x^2e^(2x)

Which methods can i use to solve it except
of finding y = x^r e^(2x)(Ax^2+Bx+C)?

2007-12-15 08:52:02 · 1 answers · asked by Specter 1

1. Find the length of the given graph over the indicated interval. r= 5 ( 1 + cos (delta)). Interval: 0< delta < 2 pie.

2. Convert the given rectangular equation to polar form:
4 ((x)^2) - 5 ((y)^2) - 36 y - 36 = 0.

3. lim (-x ln x)=?
*note as limit approaches 0 from the positive side.

4. the area bounded by r^2 =sin (delta).

5. The area bounded by the small loop of r = 2-4sin(delta) .

6. the integral arctan (2x) dx, between the interval (0, 1/2).

7. if f(x) = 2 ^(sin(^(2)) (x)), then f' (pie/4) equals ?

2007-12-15 08:50:47 · 1 answers · asked by icemoon 2

Is the following trinomial a perfect square?

x^2+8x-16 ??

x^2-8x+16
(x-4)(x-4)

So, since x=-4 that makes a perfect square right??

2007-12-15 08:31:09 · 7 answers · asked by cuvelx 3

The function y(x) is given by

y(x)=summation(n=0 to infinity) [x^(2n)]/(1-2n)

a) find the radius of convergence for this power series

b) show that y satisfies the differential equation
(1-x^2) y''(x) - 2xy'(x) + 2y(x)=0

2007-12-15 08:28:12 · 1 answers · asked by Anonymous

I have this as a math question and cannot figure it out. Please help me. Thanks so much

2007-12-15 08:24:00 · 7 answers · asked by dag652000 2

2007-12-15 08:21:07 · 9 answers · asked by dag652000 2

Which buttons do I use to calculate a mean and a standard deviation on the ti 83 plus?

2007-12-15 08:15:12 · 4 answers · asked by leguticia 2

What is Cos(Cos^-1(4/5) and why?

2007-12-15 08:03:17 · 9 answers · asked by Ash 2

How can i prove that f is unique?
f is defined on (0,infinity) and f is continuous

2007-12-15 07:59:49 · 4 answers · asked by mileandrei 2

The question is "find the equation of the line passing through (0, -3) with slope 3/4th y= ?? Thanks sooo much!!!

2007-12-15 07:30:17 · 4 answers · asked by hipmamma25 1

2nd derivative of y= 2/(4-x)

2007-12-15 07:14:58 · 10 answers · asked by remote control 1

∫ x^(2) e^(x^3) dx

2007-12-15 06:53:51 · 3 answers · asked by Hinal P 1

I am confused as to how to go about this problem. We are studying optimization in calculus. Thank you for any help!

A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is (a) maximum and (b) a minimum.

2007-12-15 06:46:50 · 1 answers · asked by sg88 1

e^(x +3)=10^(4-x)
please show work. thanks. i got to x +3=(4-x)ln10 if that is right. idk. i know multiply= add so what would it b?? thanks!!

2007-12-15 06:42:37 · 5 answers · asked by dcgirl 3

2007-12-15 06:41:17 · 3 answers · asked by Sherly M. 1

29*3?

2007-12-15 06:37:28 · 7 answers · asked by fanny bandits 4

If a corpse weighs 200 pounds and he or she is placed in a casket 2 foot wide, 7 foot long and 1 foot high which weighs 2 pounds per cubic feet, what is the total weight that has to be lifted?

2007-12-15 06:37:05 · 6 answers · asked by Anonymous

in math i'm taking patterns and can't do it ! cane you help?
but, i have to solve them in more then one way!
1,3,9....one of them: !1,3,9.....27,81,243. can anyone come up with another way? next one : 0,1,10....... and the one after that is:2,3,5,..... help ,please!!!

2007-12-15 06:35:53 · 4 answers · asked by Anonymous

I have x(t) = t + sin 2t and y(t)= t-sin2t
this is what i get for derivatives
x'(t) =1 + 2cos2t and y'(t) = 1-2cos2t

the answer key i'm looking at gives
x'(t) =1 - 2cos2t and y'(t) = 1 + 2cos2t

is there a mistake on the key

2007-12-15 06:29:36 · 3 answers · asked by bob oso 2

If you put together a 10% acid solution and a 30% acid solution and get a 500mL 25% acid solution, how much of the 30% solution did you use? The options are 125 mL, 150mL, 375 mL, and 450 mL.

2007-12-15 06:26:21 · 3 answers · asked by Musicrox361 1

I have heard for years that eventually it will, but I really dont see that happening, as it would take a massive transformation and tons of money? Does anyone have any more information on this, are they still teaching the Metric system in Schools?

2007-12-15 06:18:41 · 8 answers · asked by kris76 4

If you have a pocket full of change, what is the most amount of money you can have but still not have exact change for a dollar?

Also tell me how you know!! plz explain!!
web sit maybe???!!!

2007-12-15 06:13:44 · 9 answers · asked by Anonymous

I'm not stupid, I just forgot. So please just answer the question.

3x+7=x-6
-8n+12=4n+36
5x+1=x+8

Show me step by step and explain.

2007-12-15 06:07:24 · 8 answers · asked by Anonymous

Figure: Triangle ABC with vertices A(-4,2), B(4,3), C(1,-3).

angles in order from least measure to greatest measure.

2007-12-15 05:56:50 · 2 answers · asked by Anonymous

A car dealer has 22 vehicles on his lot. If 8 of the vehicles are vans and 6 of the vehicles are red, and 10 vehicles are neither vans nor red, how many red vans does he have on his lot?

2007-12-15 05:56:07 · 5 answers · asked by Andreas 1

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