Mathematics - 25 September 2007

I missed a day and now I'm a little behind. I have an idea of how to do these, but I just want to make sure I'm right before I spend 2 hours doing a whole page of them.

1) A balloon rises at the rate of 8 feet per second from a point on the ground 60 feet from an observer. Find the rate of the angle of elevation when the balloon is 25 feet above the ground.

2) The height of a cylinder with a radius of 4 cm is increasing at a rate of 2 cm/min. Find the rate of change of the volume of the cylinder when h=10 cm.

2007-09-25 04:10:50 · 3 answers · asked by Anonymous

1. x:[0,2] dx / (2x+5)
2. x:[1, e^6] dx / xsqrt(lnx)
3. x:[8,21] (e^x^(1/3)) / x^(2/3)

2007-09-25 03:50:15 · 4 answers · asked by simonkf2002 1

A ski resort is installing tows on its new ski runs. One hill has a vertical height of 500.0 metes and it is inlcined at 42 degrees.
Determine the approxmate length of the t-bar cable if it goes to the top of the hill and returns.

I am having trouble getting a diagram ,and having trouble solving this please help!!!

2007-09-25 03:45:55 · 5 answers · asked by Anonymous

a. 5y + 20 =
b. 7x - 28 =
c. 8a + 10b - 18c =
d. 9a + 27b + 81 =

I'm not sure how to set it up

2007-09-25 03:42:20 · 6 answers · asked by Tiffany S 1

2007-09-25 03:33:40 · 3 answers · asked by reshma p 1

radical of(x-1) + radical of(y-2) + radical of(z-3) + 5.25 = x+y+z
i need to find out x, y and z

yeah... im not american or english and i hope i wrote it correctly 'radical of' cause i dont know how to make the symbol on a keyboard...

2007-09-25 03:29:41 · 3 answers · asked by paolomoldovan789 2

4x+3y/2 + 2x+2y/3

2007-09-25 03:23:28 · 9 answers · asked by Anonymous

Steps please. I understand the integrating factor is y but I don't know how it is determined. Thanks.

2007-09-25 03:21:55 · 3 answers · asked by Lobster 4

How does log 1.10 = 0.0953?
why does log (e^x) = x?

2007-09-25 03:20:37 · 4 answers · asked by Anonymous

2007-09-25 03:16:00 · 9 answers · asked by Anonymous

That x=0?

2007-09-25 03:08:08 · 4 answers · asked by XRAYDELTA1 2

minute after 900 minutes.

2007-09-25 03:03:39 · 3 answers · asked by Freddie 2

1) show by means of an example that lim as x -->a [ f(x) + g(x) ] may exist even though neither lim as x -->a f(x) nor lim as x -->a g(x) exists

ANS: the limit of f(x) = 1/(x-a) has no limit as x goes to a. Neither does g(x) = -1/(x-a). However f(x) + g(x) => (1-1)/ (x-a) = 0, which is a constant so its limit exists.

2007-09-25 02:57:55 · 4 answers · asked by Arianna A 1

I have discovered an ingenious proof of this claim, but the details section is too small to contain said proof.

2007-09-25 02:55:14 · 2 answers · asked by Anonymous

2007-09-25 01:07:09 · 3 answers · asked by Anonymous

2u^2 - 5u - 3 = 0

Help factor please

2007-09-25 00:16:31 · 4 answers · asked by K Rose 3