Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 Help Me ! » index laws » 2008-04-24 20:18:44

EMPhillips1989
Replies: 13

  where n>=0

prove by induction on n that

  where n,m >=0

please help

#2 Re: Help Me ! » limits » 2008-04-23 00:21:24

sorry i made a typing error the function should have been

#3 Help Me ! » limits » 2008-04-22 22:32:40

EMPhillips1989
Replies: 8

can anyone find the limit of this function? I attempted it and got the limit as zero but looking at the graph of this function i assume this is wrong please help!!

#4 Help Me ! » vector normal » 2008-04-18 02:24:45

EMPhillips1989
Replies: 1

I'm trying to solve the following function using Stokes' theorem, however i have got stuck finding out the surface normal vector

     (A,I,J,K are vector constants)
where the curve is defined by

z=h

can anyone show me a method of finding out the vector normal please????

#5 Help Me ! » vector calculus » 2008-04-18 01:25:02

EMPhillips1989
Replies: 0

hi i've been trying some revision questions and i've come across the following question which puzzles me reatly as im not sure atall how to answer it! any help or suggestions will be much appreciated!!!

For a closed surface S containg a volume V show that


Where n is the unit normal to the surface

#6 Help Me ! » partial differentiation » 2008-04-16 02:12:09

EMPhillips1989
Replies: 1

hi im trying to find the gradient of the function

but i'm struggling to differentiate it in the following form please help!!

#7 Help Me ! » limits » 2008-04-16 00:49:29

EMPhillips1989
Replies: 2

hey i'm stuck on the following question

find the limit if it exists

i think the limit is 0 but i dont know how to prove this can anyone help???

#8 Help Me ! » discrete maths » 2008-04-15 05:08:13

EMPhillips1989
Replies: 1

I've been studying prime numbers but have got stuck on the following question, any suggestions would be much appreciated!!!

if p is prime, use al-Haytham to prove that
    (p-2)!=1 mod p

I've looked at the proof when for (p-1)! but i havent been able to see how to adapt the proof to this question please help!!!

#10 Help Me ! » Calculus » 2008-03-10 23:18:02

EMPhillips1989
Replies: 6

let


i've found the gradient of f as

i now need to find the unit normal to the surface

at the point (2,-2,2)
does anyone know a formula i can use to find this? please help!

#11 Re: Help Me ! » please help!!!!! probability!!! » 2008-02-27 23:42:00

what i thought i had to do for the first part is:


looking at the table this gives 0.99 which would imply the minimum mark for a grade a is 99marks this must be incorrect please can anyone help!!!!

#12 Help Me ! » please help!!!!! probability!!! » 2008-02-27 22:37:38

EMPhillips1989
Replies: 1

marks out of 100 in an exam are normally distributed with mean 68 and variance 25

suppose the top 15% of students recieve a grade A. what is the minimum mark that a student must have to achieve to get an A??

the pass mark is 54% given that a student passed the exam, what is the probability she got an A??

please help!! if anyone could show me roughly how i would do this sort of question

#13 Help Me ! » function » 2008-02-27 02:52:38

EMPhillips1989
Replies: 1

f(x,y)=g(u,v)

and

show that

please help me suggestions will be much appreciated!!!

#14 Help Me ! » integrals » 2008-02-27 01:41:27

EMPhillips1989
Replies: 1


so i solved this integrating r then theta



using



i now need to write down the integral with the order of integration reversed
does anyone know what limits i could use to do this???
PLEASE HELP!!!!!

#15 Re: Help Me ! » integration » 2008-02-27 00:51:04

Does anyone know how to integrate a function like this???
please help!!

#17 Help Me ! » simple random walks » 2008-02-26 01:39:38

EMPhillips1989
Replies: 1

a particle undergoes a simple random walk along the x axis with an absorbing barrier at x=0 and a reflecting barrier at x=4.
At times t=0,1,2,3.... the particle moves one unit to the right with probability p and on unit to the left with probability q=1-p
does anyone know what the transition matrix would look like????

#18 Help Me ! » integration » 2008-02-26 00:44:08

EMPhillips1989
Replies: 1

does anyone know how you would solve an integral like this???

#19 Re: Help Me ! » Mechanics » 2008-02-25 22:46:03

would i not do it this way?


so i set r=0 at time of collision

simplifying:


adding t for particle one gives:

so

adding t for particle two give:

using

to get:

so

#20 Re: Help Me ! » Mechanics » 2008-02-25 10:25:29

im now trying to work out the speed immediately before the impact
which equation do i plug t into??

#21 Re: Help Me ! » Mechanics » 2008-02-25 09:18:45

yes but im slightly confused as i'm not given u or g i might be having a blonde moment!

#22 Re: Help Me ! » Mechanics » 2008-02-25 08:45:30

oh yes i see where my integration went wrong but is there a way of getting an exact result for t in terms of seconds?

#23 Re: Help Me ! » Mechanics » 2008-02-25 07:58:40

well i figure that when the two particles collide the postion vectors will equall one another

the position vector of particle 1 is given by r=xi+zk
as the only force acting on it is gravity, from newtons second law mr''=-mgk
integrating with respect to t gives: r'=-gkt+c  (where c is a constant)
at t=0, r'=0 so c=0 so
r'=-gkt
integrating again gives:

the position vector of particle two is given by:

when i set these equal to one another i get


as

does anyone  know how i can get an answer please help!!!!

#24 Re: Help Me ! » Mechanics » 2008-02-25 04:28:08

PLEASE HELP!!!!!!!!!!!
im really stuck

#25 Help Me ! » please help » 2008-02-25 03:05:26

EMPhillips1989
Replies: 1

a ball is thrown vertically upwards with speed 4m/s, neglecting air resistance and taking g=9.8 find the time taken for the ball to return to the ground

right this is my solution:
using newtons second:


integrating this gives:

since

time taken to reach the top is when

at the highest point
t=0.408

does anyone know if i can simply double this to get the total time taken or do i have to integrate again?

Board footer

Powered by FluxBB