Science & Mathematics - 16 December 2007

Ind. Int.="Indefinite Integral"
In my book (Stewart) they say

"Recall that the most general antiderivative on a given interval is
obtained by adding a constant to a particular antiderivative. [Bold]We adopt the convention that
when a formula for a general Ind. Int. is given, it is valid only on an interval.[/Bold] Thus, we write

Ind. Int. 1/x^2 dx = - (1/x) + C

with the understanding that it is valid on the interval (0, infinite) or on the interval (-infinite, 0). This is true despite the fact that the general antiderivative of the function , f(x)=1/x^2, x ≠ 0 , is:

F(x):
- (1/x) + C1 if x<0
- (1/x) + C2 if x>0"

Well, I don't understand this convention, don't know if it is something too obvious and I'm complicating myself, like, "there could be points where the Ind. Int. isn't defined" or maybe there's a subtle point behind this, maybe they want to say that a Ind. Int. that holds for any interval, no matter how small, it's a valid Ind. Int of the function.
Thank u.

2007-12-16 03:31:08 · 2 answers · asked by andacecha 2 in Mathematics

if you give me alot of information i would give you a best answer. alot of information. please please please

2007-12-16 03:30:30 · 3 answers · asked by Anonymous in Earth Sciences & Geology

2007-12-16 03:29:27 · 1 answers · asked by SIMRAN K 1 in Earth Sciences & Geology

A coin of mass .0050 kg is placed on a disk at a distance of .14m from the center. The coin does not stlip and takes 1.5 s to make a complete revolution.

1. What is the linear speed.
2. The rate of the rotation of the disk increases. The coefficient of static friction is .50. Determine the linear speed of the coin just before it slips.

2007-12-16 03:25:23 · 2 answers · asked by Franny 3 in Physics

this is part of the analysis for the lab
trial 1
radius=.4m
time=10secs
mass=.05kg
rotations=22
How do i calculate linear speed? is it (2*(PI)*r*#of rot) /t?

How do i calculate the centripetal force the object should have had based on the mass, linear velocity, and circle radius? i have no idea how to do this

Ho do i calculate the force needed to keep each mass going in a circle (the weight on the string). Show the calculation of the force for at least one test from each experiment? i have no idea again

2007-12-16 03:25:03 · 1 answers · asked by confused 1 in Physics

2007-12-16 03:19:00 · 5 answers · asked by Anonymous in Mathematics

A) HO2
B) H2O

2007-12-16 03:09:18 · 3 answers · asked by lol 1 in Chemistry

If you were a world leader, list two steps you would take to improve agriculture in order to produce more food for people who are hungry?

2007-12-16 03:08:19 · 7 answers · asked by Anonymous in Agriculture

2007-12-16 03:08:16 · 2 answers · asked by Anonymous in Biology

we are looking at snow board need size

2007-12-16 03:08:11 · 9 answers · asked by Anonymous in Mathematics

2007-12-16 02:59:36 · 10 answers · asked by midnight 1 in Geography

The weather is predicting up to a foot or greater tonight. ending at 7pm. but due to the combination of blowing snow afterwards and the busses not being able to get threw untreated side streets, think i will have off tomorrow?

2007-12-16 02:53:40 · 5 answers · asked by aquateensown 3 in Weather

Prove that csc 0 is undefined

&

A sector of a circle has a central angle of D degrees. Prove that the area of the sector is A=(1/2)r^2R where r is the radius and Ris the Radian Measure


Thank you

2007-12-16 02:52:16 · 4 answers · asked by Megan Myers 1 in Mathematics

Would you say it was the asteroid impact theory, volcanism, mammal competition, or continental drift?
Or perhaps a different theory?
What evidence would you give for your theory?
Thanks, this would be very helpful for a case study I am writing.
xx

2007-12-16 02:52:08 · 7 answers · asked by Anonymous in Other - Science

How much water should be aded to obtain a solution that is 60% antifreeze?

.6x-.6=40
.6x=1
x=1/6?

2007-12-16 02:51:42 · 4 answers · asked by Anonymous in Mathematics

2007-12-16 02:51:22 · 8 answers · asked by LILREDGAL 1 in Geography

what is the capital of Greenland

2007-12-16 02:45:05 · 5 answers · asked by Near 2 in Geography

girl is 3 years younger than the boy the product of theri age is 238.

PLease help.

2007-12-16 02:44:17 · 15 answers · asked by shamini 1 in Mathematics

A coin placed 30.0cm from the center ofa rotatating turntable slips when its speed is50.5cm/swhat force causes the centripetal acceleration when the coin is stationary relative to the turntable?what is the coeffecient of static friction

2007-12-16 02:38:17 · 3 answers · asked by Anonymous in Physics

I find this to be really difficult problem, and I can't find someone who can answer it.

Two physics students have been selected by NASA to accompany astronauts on a future mission to the Moon. The students are to design and carry out a simple experiment to measure the acceleration due to gravity on the surface of the Moon. Describe an experiment that the students could conduct to measure the acceleration due to gravity on the Moon. The answer must include :
- the equipment needed
- what quantities would be measured using this equipment
- what procedure the students should follow in conducting their experiment
- what equations and/or calculations the students would need to do to arrive at a value for the acceleration due to gravity on the Moon.

2007-12-16 02:36:39 · 7 answers · asked by paliprospect 1 in Physics

much would the temperature of the water increase?

2007-12-16 02:34:26 · 3 answers · asked by lol 1 in Chemistry

A 18 kg block is in equilibrium on an incline of angle = 45°. Find Fn of the incline on the block.
N

2007-12-16 02:32:34 · 3 answers · asked by NiNi 2 in Physics

can you name all the continents of the world apart from Antartica.

2007-12-16 02:30:22 · 12 answers · asked by Near 2 in Geography

2007-12-16 02:28:28 · 8 answers · asked by Hyumby 2 in Mathematics

what is the derivative of (x^2)(cos[x^3])?

2007-12-16 02:25:50 · 5 answers · asked by Anonymous in Mathematics

Planet W has a radius of 8.2*10^7m and a gravitational accelaeration of 27m/s^2. Determine the orbital radius of a satellite that orbits this planet in 6.50 days.

2007-12-16 02:25:13 · 1 answers · asked by Franny 3 in Physics

What isit

2007-12-16 02:18:53 · 13 answers · asked by Anonymous in Earth Sciences & Geology

thanks

2007-12-16 02:17:45 · 10 answers · asked by hello! 1 in Mathematics

2007-12-16 02:16:18 · 5 answers · asked by ms.l_thoms 1 in Zoology

Compare hyrdrogen with the group 1a metals in terms of their ionization energy. how can you explain the difference?

2007-12-16 02:15:48 · 2 answers · asked by Tr4ck4Inc@ 2 in Chemistry