hmmmmm..

greetings.

some1 help out with this difference equation

solve:

y_n+2 -5y_n+1 +6y_n=2n+ (-1)ⁿ

@jackpot, Doubledx , laplacian, e.t.c..


the particular solution is the issue..


thanks..

.

lots of questions to solve....dono...we're.2 start from.....

RobinHez:

wow! it was actually a Pume question from Delsu...
i just hope other people are going to come up with answers too

however if the question requires how many more men are needed to complete the work then it should be 225-75=150

benji93:

however if the question requires how many more men are needed to complete the work then it should be 225-75=150

ok great!

please sir help me to solve this if the nth term of an Ap is (16-6n) find d

Mnewton:
please sir help me to solve this if the nth term of an Ap is (16-6n) find d

Nth term is given as a+(n-1)d
This implies 16-6n=a+(n-1)d
Make d subject of formula
You have d=(2(8-3n)-a)/(n-1)

If nth term=16-6n........(n+1)th =16-6(n+1)....=16-6-6n=10-6n......since d=(n+1)th-nth=10-6n-(16-6n)=10-16=-4......
So d=-4

Ayomide002:
If nth term=16-6n........(n+1)th =16-6(n+1)....=16-6-6n=10-6n......since d=(n+1)th-nth=10-6n-(16-6n)=10-16=-4......
So d=-4

tanx alot 6 is the answer right?

frob0genius:
Nth term is given as a+(n-1)d This implies 16-6n=a+(n-1)d Make d subject of formula You have d=(2(8-3n)-a)/(n-1)

tanx dear

Pls help me solve this:find the term independent of x in the expression of (x-1/2x)^12.

Sadia1992:
Pls help me solve this:find the term independent of x in the expression of (x-1/2x)^12.

If what u mean is [(x-1)/2x]^12, then the term independent of x is 1/4096

hello math gurus, it's been up to a year now that the second edition of Nairaland Mathematics Quiz Competition was organized.
When is third edition coming up?

cc
Dejt4u
Benbuks
jackpot
Arithmetic
Neutralwaves
Richiez
Amazing angel
Agentofchange1
Doubledx
Laplacian
Stenon

Drniyi4u:
hello math gurus, it's been up to a year now that the second edition of Nairaland Mathematics Quiz Competition was organized.
When is third edition coming up?

cc
Dejt4u
Benbuks
jackpot
Arithmetic
Naturalwaves
Richies
Amazing angel
Agentofchange1

Hahahaha. That maths competition that will make everyone in the house ask "what are you doing?" Particularly when solving against time. Although, it wasn't devoid of some hitches, it was fun and I hope the next one would be better.

Mnewton:

tanx alot 6 is the answer right?

-6 is the right answer

Lol.. It was fun though.. Nice meeting my ogas here

naturalwaves:


Hahahaha. That maths competition that will make everyone in the house ask "what are you doing?" Particularly when solving against time. Although, it wasn't devoid of some hitches, it was fun and I hope the next one would be better.

dejt4u:
Lol.. It was fun though.. Nice meeting my ogas here

Beeen a while, long time. How are you? That day, I was trying to help a guy with his change of subject question when I saw you already did. Wanted to upload the entire solution for him but I thought your method of trying to make him figure out things for himself was better, so, I dropped it. Do you still hear from your friend, Amazing Angel?

naturalwaves:

Beeen a while, long time. How are you? That day, I was trying to help a guy with his change of subject question when I saw you already did. Wanted to upload the entire solution for him but I thought your method of trying to make him figure out things for himself was better, so, I dropped it. Do you still hear from your friend, Amazing Angel?

that's aiit boss.. It is only Stenon I do hear from..

dejt4u:
that's aiit boss.. It is only Stenon I do hear from..

I think I meant to say Stennon. She is the one studying physics edu right?

naturalwaves:

I think I meant to say Stennon. She is the one studying physics edu right?

yes.. My learned colleague

dejt4u:
yes.. My learned colleague

Okay, good. We should have a get together one of these days.

agentofchange1:
some1 help out with this difference equation

solve:

y_n+2 -5y_n+1 +6y_n=2n+ (-1)ⁿ

@jackpot, Doubledx , laplacian, e.t.c..


the particular solution is the issue..


thanks..

y~n=5/2+C1{10/3}^n+C2{-7/10}^n

naturalwaves:

Okay, good. We should have a get together one of these days.

that is very good suggestion..will be looking forward to that

Please my ogas them, help on these
(1) find the value of x in terms of y if 1/2log x (base 2) log y^2 (base 4) = 1

(2) How many numbers greater than 4000 can be made using the digits 2,3,4,5,6 if no digit can be repeated ?

Thanks in ancipation

Emdee590:
Please my ogas them, help on these
(1) find the value of x in terms of y if 1/2log x (base 2) log y^2 (base 4) = 1

(2) How many numbers greater than 4000 can be made using the digits 2,3,4,5,6 if no digit can be repeated ?

Thanks in ancipation

You omitted something in question 1. Check well and repost.

Richiez:


nice try bro, although you made some some mistakes especially at the point where you took log of both sides. e.g it ought to be log(x+y)= log5 and not logx + logy = log5. but i must admit, you did a very good job.

here's another approach;

x + y = 5.......(1)
x^x + y^y =31.......(2)

from eqn(1), x=5-y, hence we substitute this value for x in eqn(2).
(5-y)^(5-y) + y^y = 31.......(3)
now, we have reduced the problem to what value of y that must be inserted in eqn (3) to obtain 31.

a thorough look at eqns (1) & (2) shows that the values of x & y must be positive integers within the range 0<x<5 and 0<y<5
clearly, y=3
i.e (5-3)^(5-3) + 3^3
2^2 + 27
4+27=31
now that we have established that y=3, we shall substitute the value of y in eqn(1) to get x
recall that x+y=5
therefore; x+3=5 or x=5-3=2
hence, x=2 when y=3

dis is very wrong @Richiez. Youngsage is right

Sori is this my mth201 or mth205 exam?

tonywirelex:
(1) solve | 3-x | ≥ 1

(2) solve x > x²

(3) find the domain f(x)= 1/√1-x²

(4) if f(x)= x² - 1 then f(secθ) - f(tanθ) =?

(5) if f(x) = logx, then find f(2sinx) + f(cosx) at x=π/4

(6) period of tanx and cotx is ?

(7) if f(x)= x+1/x, x≠0, then f(1/x) =?

( if f(x) = (2x+1/3x-2), then f(f(2)) =?

(9) lim (1+2x)^1/x as x→0 =?

(10) evaluate lim 1-cos2x/x²(1+cos2x) as x→0 =?

(11) lim (1+(4/x))^x as x→∞ =?

(12) lim 2sinx-sin2x/x^3 as x→0 =?

(13) evaluate lim x(π/2 - arc tanx) =?

(14) derivative of x²/1+x² with respect to x² =?

(15) if y=x^4 - 7x^3 + 3, then d^3 y/dx^3 at x=2 is?

(16) d/dx (2sin²x + cos2x) is ?

(17) differntiate with respect to x, the function 2arc tan√x

(18) find d/dx f(x) where f(x) = cosh^-1 (2x) at x=2

(19) if x²/a² + logy²/b² =1, then dy/dx =?

(20) differentiate x^sinx with respect to x

(21) find ∫(sec²x + tan²x)dx =?

(22) evaluate (x²-x+1/√x) dx

(23) ∫ dx/√4-9x² =?

(24) determine ∫ dx/4+x²

(25) ∫ (logx)²/x dx =?
(26) ∫

Hands in the air for all my Mathematics Gurus. Much of words will not fill a bushel. Kindly be informed that you can download or request ebooks and related stuffs on HERE....And request HERE. Good luck in our educational endeavours.

Emdee590:
Please my ogas them, help on these
(1) find the value of x in terms of y if 1/2log x (base 2) log y^2 (base 4) = 1

(2) How many numbers greater than 4000 can be made using the digits 2,3,4,5,6 if no digit can be repeated ?

Thanks in ancipation

Question (1) missing an item

Question (2):
if number is to be greater than 4000, then it can only start with any of 4,5,6 (3 ways of starting), i.e. 3 x....
second term can have any of the other 4 numbers, once first term is fixed (no repetition), then third any of 3, then fourth any of 2.
Hence, 3 x 4 x 3 x 2 = 72 numbers