₦airaland Forum

ladokuntlad:
20,154

9!/3!=60,480
8!=40,320

(9!/3!-8!)=60,480-40,320=20,160

0!=1
(9!/3!-8!)*0!=20,160*1=20,160
3!=6
(9!/3!-8!)*0!-3!=20,160-6
=20,154

all4naija:
You didn't solve for n factorial n! --> n(n-1)

ladokuntlad:
u said when n=8
so y should i boda myself expanding n again?

ladokuntlad:
u said when n=8
so y should i boda myself expanding n again?

bolkay47:
He's question is rather ambiguous. I made a mistake at first.

all4naija:
Yes, you are right. But, n is 8 not the 'n factorial' in this case. Look at it from that logical perspective.

Madmathecian:
Half of 5 = 3, based on that proportion, what is one third of 10?

ladokuntlad:
You mean the expansion n(n-1)(n-2).... is to (n-8 ) baa?
well dat still makes it 8!



Or beta stil explain wat u meant by n=8

all4naija:
No, it is not. Just like you have the 0! is 1 n in this case is just 8 then look for the n factorial (n!). That means you would have to apply the recursive formula at that point in time.

ladokuntlad:
bt that is still d final ansa
using recursive formular 8*(8-1)!=8*7! still giv the same result
(9!/3!-8*7!)*1-3!
(12*7!-8*7!)-3!
4*7!-3!(is this wat u looking for)
ansa still givs 20,154


except u looking for a different approach to d question.
i believe we stil av the same result

all4naija:
I don't think so. Look at the formula and plug in 8 and solve for it. It can't be the same thing. It will look like this n(n-1) --> 8(8-1) --> 8*7 = 56. That means there is no need for 56 factorial or 56! but just 56 because that is now the n!.

Madmathecian:
Integrate x/x^2 + 3x + 2 dx

MathsChic:
Not clear x/(x^2 + 3x + 2)?

Madmathecian:
Integrate x/x^2 + 3x + 2 dx

killsmith:
Is this thread limited to calculus o.d.e and the likes?.....

ladokuntlad:
my desert for today

Madmathecian:
Integrate x/x^2 + 3x + 2 dx

Laplacian:
too tiny

masperano:
Let me take on this question. I will try to skip the part you do not want to hear: "mathematicians can work anywhere"(even if my trajectory of arguments will spiral through that path).
In our present society mathematics plays an important role in the development of science and technology. This spans over several fields like {medicine, epidemiology, engineering, finance etc}. I usually do not divulge information, but for this question let me make an exception. My second degree was in mathematical modelling in the u.k. Mathematical modelling is the process of capturing real life process into mathematical framework, solving it in the context of using mathematical techniques hence gaining insight to real life process. Let me give you an example for instance if there is an outbreak of a disease, what are the strategies one can implement to try to curb the spread of the disease. should infected people be isolated? the effect of implementing an awareness program? will treatment of the infected people suffice? what is the asymptotic behavior of the disease? . Now these questions can only be answered by knowing the nature of the disease, basic reproduction number(a measure of how the disease spreads) and the asymptotic behavior of the equilibrium states. That's when you hear of the SIR models and so on.

My current work is on Physiology. trying to formulate mathematical model to describe the transport mechanism of the lymphatic vascular system. We hear of elephantiasis(the swelling of the limbs) this as a result of the failure of the lymphatic system. There is no cure for it and one of the problem is that no one adequately understand the transport mechanism. Now this means i have to understand the physiology of the lymphatics to make rational assumptions for my model. So you you see you are covering two sides: i.e. it must make both physiological sense as well mathematical sense.

Also in finance you cannot undermine the power of mathematics. Sorry for the deviation, my aim is for you to see the application of mathematics in your every day life. Having said that, you should know that there is a huge difference between learning mathematics and knowing when to apply them. The problem with our educational sector is that they don't teach us how to think , they just give equations you learn how to solve, or memorize the theorems, go into the exam hall and reproduce it and you get a first class. But when you go to a top tier school in the western world and meet your contemporaries then you realize your weaknesses (don't worry this was exactly what happened to me). My advice to you is for you to keep pushing yourself, and please don't hesitate to learn programs this is very necessary.

Conclusively you can be of immense value to any firm spanning from Finance, medical, Engineering sector. Most firms look for analytical and quantitative minded individuals. I have seen many bright minds in this forum who just need the right guidance. Any one who wants to perhaps go into mathematical biology should contact people like Abba Gumel (i have met him once and he is highly prolific and a named Professor at Arizona state university) or Daniel Okuonghae (got his M.Sc in mathematical modelling from Oxford University presently in Uniben). These are people who will guide you into the trajectory of value in the context of application of mathematics.

Soneh:
please gurus in the house help me
1.EVALUATE the following limits
(1)limit as x approaches 0 of 3^x-2^x/x

Soneh:
please gurus in the house help me

2.show that if aline L has the equation Ax+By=C, then a line M perpendicular to L has an equation of the form -Bx+Ay=E

Known that a straight line equation has the form

y=mx +c ( m= gradient , c= intercept ) .......(#)

so, lets re-write Ax+By=C as By =-Ax +C

y=-Ax/B +C/B , Comparing with the above ,

thus, m= -A/B ( call it m1)

For two perpendicular lines , m1*m2=-1

it follows that m2 = B/A

we then put this in (#) , we get
y =BX/A + C

Or
-Bx +Ay = AC ( let AC= E , for all E belonging to reals )

hence -BX +Ay =E

the proof. as required


3.IF x²+y²=a², find the value of dy/dx

it can be established that dy/dx = -f_x /f_y

where
f_x = 2x .........( partial derivative wrt. x)
f_y =2y...........( partial derivative wrt y )\

thus, y' = dy/dx = -2x/2y =-x/y


guess that's it man