₦airaland Forum

M4gunners:
And what are trying to make out of this? Is the hospital world class or not? He has built the hospital already you can go there and see by urself. If they are no qualified Doctors to treat him well, he has right to go anywhere and treat himself.

Karmanaut:
Written your exam yet?
How was it?

jackpot:
wow. What's the application to Chemistry?

jackpot:
my left mind is wishing the guy drops Laplace Transform as the compulsory question

agentofchange1:
@personal59

www.google.com.ng/search?q=numerical+integration&client=ms-opera-mini-android&channel=new&gws_rd=cr&ei=HEXfVYzPJoX7aN_XmcgM

click on the site above n download d e copy, it really helps, u could understand well enough questions related to yours, seeing d exams is 2maro.


i don't wanna bring new formulas dat cud cause confusion,

leme advice u to just study ur notes carefully n all tests /assignments. u can't get all solutions from us here, at least my boss has done justice to some of ur problem.

this is how i could help on this


hope u get my gist..

experimentist:
where's GEJ and Ihejirika?

agentofchange1:
ok sir

we gat basically two types of errors when using trapezoidal rule

local error ,

e = -1/12 *h^3 f' ' '(α) : x₁<α<x₂

&
Global error ,

e= -1/12 * n f' ' ' (α) : x₁<α<x_n


guess this helps





brb leme recheck the question behind.

agentofchange1:
ok sir

we gat basically two types of errors when using trapezoidal rule

local error ,

e = -1/12 *h^3 f' ' '(α) : x₁<α<x₂

&
Global error ,

e= -1/12 * n f' ' ' (α) : x₁<α<x_n


guess this helps





brb leme recheck the question behind.

SeverusSnape:
I see some resemblance, But that doesn't mean he took a picture with them. Have you ever heard of something called 'photo shop'?

SeverusSnape:
you've already posted it.

SeverusSnape:
Dokubo is a muslim with a difference, while others support Bokoharam, Asari Dokubo does not. I repeat, this picture is fake, that guy doesn't look like Yusuf Abubakar.

SeverusSnape:
Dokubo is a muslim with a difference, while others support Bokoharam, Asari Dokubo does not. I repeat, this picture is fake, that guy doesn't look like Yusuf Abubakar.

SeverusSnape:
An Islamist is different from an extremist, I never said you're an extremist.
About the picture, It's as fake as APC's "change".

SeverusSnape:
Just went through your profile and discovered you're an Islamist. No wonder you want to implicate Oritsejafor. You're a pathological liar.

ProphetUdeme:
Did you include ayo oritsejafor? Mind as how you joke with man of God o

SeverusSnape:
Mtcheeww

Mr. OP. Do you work for Sahara reporters?

agentofchange1:
guess he has done it already.

agentofchange1:
Aright dear i get your point,


BTW: look into that probability question i solved in the previous page , your honest mathematical input is required. tnx.

Karmanaut:
There is no error bound in question 2.

Question 4 looks... strange.
Usually the fourth derivative is used to calculate the error bound using Simpson's Rule, but it is required here to use the Trapezoid Rule.
Should I go ahead and use the formula for Simpson's Rule here?
Or is there something I'm missing.
AgentOfChange1, Can you help out?

Karmanaut:
Cheers. Doing question 3 now. I'll research 2 & 4 later. Edit: Solution to Question 3 attached.

Karmanaut:
Cheers. Doing question 3 now. I'll research 2 & 4 later. Edit: Solution to Question 3 attached.

Karmanaut:
@Personal59, the solution for question 1.
I trued to make my writing bigger.

Karmanaut:
Solution is attached.

Karmanaut:
5 (x-1)+3 (2 x+9)-2 = 4 (3 x-1)+2 (4 x+3)
Solve for x:
-2+5 (x-1)+3 (2 x+9) = 4 (3 x-1)+2 (4 x+3)
5 (x-1) = 5 x-5:
-2+5 x-5+3 (2 x+9) = 4 (3 x-1)+2 (4 x+3)
3 (2 x+9) = 6 x+27:
6 x+27+5 x-5-2 = 4 (3 x-1)+2 (4 x+3)
Grouping like terms, 6 x+5 x-5-2+27 = (5 x+6 x)+(-2-5+27):
(5 x+6 x)+(-2-5+27) = 4 (3 x-1)+2 (4 x+3)
5 x+6 x = 11 x:
11 x+(-2-5+27) = 4 (3 x-1)+2 (4 x+3)
-2-5+27 = 20:
11 x+20 = 4 (3 x-1)+2 (4 x+3)
4 (3 x-1) = 12 x-4:
11 x+20 = 12 x-4+2 (4 x+3)
2 (4 x+3) = 8 x+6:
11 x+20 = 8 x+6+12 x-4
Grouping like terms, 12 x+8 x-4+6 = (12 x+8 x)+(-4+6):
11 x+20 = (12 x+8 x)+(-4+6)
12 x+8 x = 20 x:
11 x+20 = 20 x+(-4+6)
6-4 = 2:
11 x+20 = 20 x+2
Subtract 20 x from both sides:
(11 x-20 x)+20 = (20 x-20 x)+2
11 x-20 x = -9 x:
-9 x+20 = (20 x-20 x)+2
20 x-20 x = 0:
20-9 x = 2
Subtract 20 from both sides:
(20-20)-9 x = 2-20
20-20 = 0:
-9 x = 2-20
2-20 = -18:
-9 x = -18
Divide both sides of -9 x = -18 by -9:
(-9 x)/(-9) = (-18)/(-9)
(-9)/(-9) = 1:
x = (-18)/(-9)
The gcd of -18 and -9 is -9, so (-18)/(-9) = (-9×2)/(-9×1) = (-9)/(-9)×2 = 2:
Answer: |
| x = 2

personal59:
Please help

All workings are needed (step to step workings with full details) on how it is solve

Thanks in anticipation






1) Using 4 sub intervals in the composite trapezium rule approximate intergral 5-1 I.e integral of 5 upper limit and 1 lower limit (square root Xdx)


2) The function f is known to have a second derivative with the property that /f"(x)/ < 12
For x between 2 and 3. Using the error bound giving earlier in this section determine how many sub intervals are required so that the composite trapezieum rule used to approximate integral 5-2 f(x)dx


3) Using 4 sub intervals in the composite simpson rule approximate. Integral 5-1 square root xdx

4) The function f is known to have a forth derivative with the property that f^(iv) (x)<6
For x between -1 and 5. Determine how many sub intervals are required so that the composite trapezium rule use to approximate integral 5 - (-2) f(x)dx incurs an error that is less than 0.001.

agentofchange1:
I doubt if an analytical solution to this exist.

personal59:
Please help

All workings are needed (step to step workings with full details) on how it is solve

Thanks in anticipation






1) Using 4 sub intervals in the composite trapezium rule approximate intergral 5-1 I.e integral of 5 upper limit and 1 lower limit (square root Xdx)


2) The function f is known to have a second derivative with the property that /f"(x)/ < 12
For x between 2 and 3. Using the error bound giving earlier in this section determine how many sub intervals are required so that the composite trapezieum rule used to approximate integral 5-2 f(x)dx


3) Using 4 sub intervals in the composite simpson rule approximate. Integral 5-1 square root xdx

4) The function f is known to have a forth derivative with the property that f^(iv) (x)<6
For x between -1 and 5. Determine how many sub intervals are required so that the composite trapezium rule use to approximate integral 5 - (-2) f(x)dx incurs an error that is less than 0.001.