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Nairaland Mathematics Clinic - Education (174) - Nairaland

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Re: Nairaland Mathematics Clinic by Arithmetic(m): 6:54pm On Apr 16, 2015
Cymbal:
Determine the type of conic section represented by the equation x2/k + y2/(k-9) = 1 in each of the following cases.
(i.) k > 9 ( ii.) 0 < k > 9 and ( iii. ) k < 0. For the case k = 25 ,find the focus or foci and the equation of the directrix or directrixes of the Conic.
Tag: laplacian,agentofchange1,jackpot,benji93,arithmetic,detj4u.

(i) Ellipse.
(ii) Hyperbola.
(iii) does not exist.
x²/25 + y²/16 = 1; comparing with: x²/a²+y²/b²=1,
a=5, b=4. To find the eccentricity, we use:
b²=a²(1-e²), e=3/5.
Focus, S(±ae, 0);
S(3,0) and S¹(-3,0).
To obtain directrices (±a/e,0), which are:
(25/3) and (-25/3)
Re: Nairaland Mathematics Clinic by Nobody: 1:49pm On Apr 17, 2015
maths105,100level Abu zaria test.
Question;
given that J=1
sint=m
α=β/root of J
solve
∫α't/(Jpower2 - mpower2)0.452/0.904
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 5:40pm On Apr 17, 2015
tonywirelex:
maths105,100level Abu zaria test.
Question;
given that J=1
sint=m
α=β/root of J
solve
∫α't/(Jpower2 - mpower2)0.452/0.904
your question is not clear, make it understandable.
Re: Nairaland Mathematics Clinic by Nobody: 6:03pm On Apr 17, 2015
thankyouJesus:
your question is not clear, make it understandable.
it's an integration problem, read it and see if u can pen it down mathematically and then attempt...
(Apha,beta,square root of J,sint,m)
wish i could snapshot it..
Re: Nairaland Mathematics Clinic by Nobody: 6:11pm On Apr 17, 2015
abu test

Re: Nairaland Mathematics Clinic by thankyouJesus(m): 6:13pm On Apr 17, 2015
tonywirelex:
maths105,100level Abu zaria test.
Question;
given that J=1
sint=m
α=β/root of J
solve
∫α't/(Jpower2 - mpower2)0.452/0.904
root of j, which is 1 is equal to 1.
Alpha = beta, I am lost, I can't read your question.
Re: Nairaland Mathematics Clinic by Nobody: 6:33pm On Apr 17, 2015
thankyouJesus:
root of j, which is 1 is equal to 1.
Alpha = beta, I am lost, I can't read your question.
seen it??
Re: Nairaland Mathematics Clinic by benji93: 10:02pm On Apr 18, 2015
tonywirelex:
abu test
sint=m
j=1
a=B
∫α't/(Jpower2 - mpower2)0.452/0.904
using the parameters given
∫α't/(Jpower2 - mpower2)0.452/0.904 = ∫t/(1 - mpower2)0.452/0.904
∫t/(1 - sin^2(t))0.5
∫t/(cos^2(t))0.5
∫t/((cos(2t)+1)/2)0.5
∫t/(cos(2t)+1)
using integration by parts
y=t(ln(cos(2t)+1)-(cos(2t)+1)(ln(cos(2t)+1)-1)
Re: Nairaland Mathematics Clinic by Kendzyma(m): 10:34pm On Apr 18, 2015
Cymbal:
Determine the type of conic section represented by the equation x2/k + y2/(k-9) = 1 in each of the following cases.
(i.) k > 9 ( ii.) 0 < k > 9 and ( iii. ) k < 0. For the case k = 25 ,find the focus or foci and the equation of the directrix or directrixes of the Conic.
Tag: laplacian,agentofchange1,jackpot,benji93,arithmetic,detj4u.
Lol,exam question num 4.. u skull in oau rit?
Re: Nairaland Mathematics Clinic by Kendzyma(m): 11:02pm On Apr 18, 2015
tonywirelex:
maths105,100level Abu zaria test.
Question;
given that J=1
sint=m
α=β/root of J
solve
∫α't/(Jpower2 - mpower2)0.452/0.904
tho the question don't specify what we are integrating with respect to..BT let me guess...
..j=1
sint=m,t=arcsinm
®=alpha,©=beta
...int ®t/√(j^2-m^2).dm
int ©arcsinm/√(j^2-m^2) .dm
.
©/1 int arcsinm/√1-m^2dm..........(since j=1)
let u = arcsinm
dm=√1-m^2du...
int udu
u^2/2+c
©sin^2m/2+c.........dats if alpha' doesn't mean diferential....
Re: Nairaland Mathematics Clinic by Cymbal: 4:13pm On Apr 19, 2015
Kendzyma:
Lol,exam question num 4.. u skull in oau rit?
sure.
Re: Nairaland Mathematics Clinic by benji93: 10:27am On Apr 20, 2015
Arithmetic:

(i) Ellipse.
(ii) Hyperbola.
(iii) does not exist.
x²/25 + y²/16 = 1; comparing with: x²/a²+y²/b²=1,
a=5, b=4. To find the eccentricity, we use:
b²=a²(1-e²), e=3/5.
Focus, S(±ae, 0);
S(3,0) and S¹(-3,0).
To obtain directrices (±a/e,0), which are:
(25/3) and (-25/3)

in the case of k=25,the conic section is an ellipse a^2-b^2=c^2,where a is the point where the section cuts the positive x-axis,b is the point
where it cuts the positive y-axis,c is the focus

k^2-((k-9)^2)=c^2
k^2-(k^2-18k+81)=c^2
18k-81=c^2
where k=25
18(25)-81=c^2
450-81=c^2
369=c^2
c=3root41
so the foci are (3root41,0) and (-3root41,0)
d which is the point where the directrix cuts the x-axis = a^2/f
d=25^2/3root41,u can continue
Re: Nairaland Mathematics Clinic by benji93: 10:28am On Apr 20, 2015
Kendzyma:
tho the question don't specify what we are integrating with respect to..BT let me guess...
..j=1
sint=m,t=arcsinm
®=alpha,©=beta
...int ®t/√(j^2-m^2).dm
int ©arcsinm/√(j^2-m^2) .dm
.
©/1 int arcsinm/√1-m^2dm..........(since j=1)
let u = arcsinm
dm=√1-m^2du...
int udu
u^2/2+c
©sin^2m/2+c.........dats if alpha' doesn't mean diferential....
but ur u=arcsinm
Re: Nairaland Mathematics Clinic by samoice(m): 3:00pm On Apr 20, 2015
Arithmetic:

(i) Ellipse.
(ii) Hyperbola.
(iii) does not exist.
x²/25 + y²/16 = 1; comparing with: x²/a²+y²/b²=1,
a=5, b=4. To find the eccentricity, we use:
b²=a²(1-e²), e=3/5.
Focus, S(±ae, 0);
S(3,0) and S¹(-3,0).
To obtain directrices (±a/e,0), which are:
(25/3) and (-25/3)
bad guy
Re: Nairaland Mathematics Clinic by montty(m): 1:04am On Apr 21, 2015
Hmmm I have missed
Re: Nairaland Mathematics Clinic by personal59: 11:19am On Apr 22, 2015
Pls help m with this question

Double differentiation of Y with respect to X

Y= 2A sin2P Vt. Cos2P X/N


Thanks waiting for d ans in anticipation god bless
Re: Nairaland Mathematics Clinic by personal59: 11:41am On Apr 22, 2015
Arithmetic:
Since P is equidistant from A(a,0) and B(-a,0);
=> PA² = (x-a)² + y²
=> PB² = (x+a)² +y²
PA²-PB² = 2k².
=> (x-a)² + y² - (x+a)² - y²= 2k²;
Simplifying;
=> x² -2ax + a² + y² - x²-2ax-a²- y² =2k²
=> -4ax = 2k².
=>2ax + k² = 0.
Arithmetic:

(i) Ellipse.
(ii)
personal59:
Pls help m with this question

Double differentiation of Y with respect to X

Y= 2A sin2P Vt. Cos2P X/N


Thanks waiting for d ans in anticipation god bless
Kendzyma:
Lol,exam question num 4.. u skull in oau rit?
personal59:
Pls help m with this question

Double differentiation of Y with respect to X

Y= 2A sin2P Vt. Cos2P X/N


Thanks waiting for d ans in anticipation god bless
Re: Nairaland Mathematics Clinic by agentofchange1(m): 5:21pm On Apr 22, 2015
personal59:
Pls help m with this question

Double differentiation of Y with respect to X

Y= 2A sin2P Vt. Cos2P X/N


Thanks waiting for d ans in anticipation god bless

hey, my guy make your question clear , or better still , snap & post .
Re: Nairaland Mathematics Clinic by agentofchange1(m): 5:24pm On Apr 22, 2015
montty:
Hmmm I have missed

Not at all my boss , the prof. himself.
Re: Nairaland Mathematics Clinic by personal59: 9:00pm On Apr 22, 2015
agentofchange1:


hey, my guy make your question clear , or better still , snap & post .
We are been ask to differentiate it twice with respect to X I mean dy/dx and also second derivative d2y/dX2


The question in word cos I don't av my book here

Y = Asin2piVt.cos2pi x/n that Is A sine 2pi v t dot cos 2pi X over n op u get it am to submit by 8am pls
Re: Nairaland Mathematics Clinic by Kendzyma(m): 11:57pm On Apr 22, 2015
personal59:

We are been ask to differentiate it twice with respect to X I mean dy/dx and also second derivative d2y/dX2


The question in word cos I don't av my book here

Y = Asin2piVt.cos2pi x/n that Is A sine 2pi v t dot cos 2pi X over n op u get it am to submit by 8am pls
dy/dx=udv/dx+vdu/DX
u=sin(2πvt)
du/dx=0
v=cos(2πx/n)
dv/dx=-2π/nsin(2πx/n)
dy/dx=-2πA/nsin(2πvt)sin(2πx/n)
using product rule to find d2y/dx2
u=sin2πvt
du/dx = 0
v=sin2πx/n
dv/dx=2π/ncos2πx/n
d^2y/dx^2=-4π^2A/n^2sin(2πvt)cos(2πx/n)
d2y/dx2=-4π^2y/n^2
Re: Nairaland Mathematics Clinic by personal59: 3:59pm On Apr 23, 2015
Kendzyma:
dy/dx=udv/dx+vdu/DX
u=sin(2πvt)
du/dx=0
v=cos(2πx/n)
dv/dx=-2π/nsin(2πx/n)
dy/dx=-2πA/nsin(2πvt)sin(2πx/n)
using product rule to find d2y/dx2
u=sin2πvt
du/dx = 0
v=sin2πx/n
dv/dx=2π/ncos2πx/n
d^2y/dx^2=-4π^2A/n^2sin(2πvt)cos(2πx/n)
d2y/dx2=-4π^2y/n^2

Thanks am grateful
Re: Nairaland Mathematics Clinic by Geofavor(m): 9:26pm On Apr 25, 2015
All Gurus in the house i hail o!
Re: Nairaland Mathematics Clinic by bolaji3071(m): 11:33am On May 01, 2015
Please help me with this question. Three times tens digit of a two digit number is 1 less than twice the unit digit. When the digits are interchanged, the new number is 17 less than twice the original number. The original number is?


If Musa scored 75 in biology Instead of 57 his average mark in four subjects would have been 60. What was his total marks?
Re: Nairaland Mathematics Clinic by bolaji3071(m): 6:44pm On May 01, 2015
Please help me with this question. Three times tens digit of a two digit number is 1 less than twice the unit digit. When the digits are interchanged, the new number is 17 less than twice the original number. The original number is? If Musa scored 75 in biology Instead of 57 his average mark in four subjects would have been 60. What was his total marks?
Re: Nairaland Mathematics Clinic by bolaji3071(m): 6:45pm On May 01, 2015
Please help me with this question. Three times tens digit of a two digit number is 1 less than twice the unit digit. When the digits are interchanged, the new number is 17 less than twice the original number. The original number is? If Musa scored 75 in biology Instead of 57 his average mark in four subjects would have been 60. What was his total marks?
Re: Nairaland Mathematics Clinic by bolaji3071(m): 6:45pm On May 01, 2015
Richiez:
We diagnose and solve math problems here
This thread is the meeting point for nairaland math gurus...I dare anyone to ask a question in mathematics without me having an answer to them, LETS START
Please help me with this question. Three times
tens digit of a two digit number is 1 less than
twice the unit digit. When the digits are
interchanged, the new number is 17 less than
twice the original number. The original number
is?
If Musa scored 75 in biology Instead of 57 his
average mark in four subjects would have been
60. What was his total marks?
Re: Nairaland Mathematics Clinic by bolaji3071(m): 6:45pm On May 01, 2015
Kendzyma:
dy/dx=udv/dx+vdu/DX u=sin(2πvt) du/dx=0 v=cos(2πx/n) dv/dx=-2π/nsin(2πx/n) dy/dx=-2πA/nsin(2πvt)sin(2πx/n) using product rule to find d2y/dx2 u=sin2πvt du/dx = 0 v=sin2πx/n dv/dx=2π/ncos2πx/n d^2y/dx^2=-4π^2A/n^2sin(2πvt)cos(2πx/n) d2y/dx2=-4π^2y/n^2
Please help me with this question. Three times tens digit of a two digit number is 1 less than twice the unit digit. When the digits are interchanged, the new number is 17 less than twice the original number. The original number is? If Musa scored 75 in biology Instead of 57 his average mark in four subjects would have been 60. What was his total marks?
Re: Nairaland Mathematics Clinic by ugonna1054(m): 8:35pm On May 01, 2015
bolaji3071:
Please help me with this question. Three times
tens digit of a two digit number is 1 less than
twice the unit digit. When the digits are
interchanged, the new number is 17 less than
twice the original number. The original number
is?
If Musa scored 75 in biology Instead of 57 his
average mark in four subjects would have been
60. What was his total marks?
I was getting decimal points in d first Qst! As. For the second....... Let his total score in 3 subjects be x.... Frm d first statement, a 75 score in Bio will giv him 60 average so (x + 75)/4 = 60..... x + 75 = 240.... x =165!(Score in 3 subjects)...... So his total mark will be (x + 57(real score in Bio)) = 165 + 57 =222
Re: Nairaland Mathematics Clinic by Nobody: 8:38pm On May 01, 2015
Nairalanders have you tried Wikinut yet? Write about whatever you like and get paid royalties - http://www.wikinut.com/in/ujjgfg/
Re: Nairaland Mathematics Clinic by Kendzyma(m): 9:11pm On May 01, 2015
bolaji3071:
Please help me with this question. Three times
tens digit of a two digit number is 1 less than
twice the unit digit. When the digits are
interchanged, the new number is 17 less than
twice the original number. The original number
is?

If Musa scored 75 in biology Instead of 57 his
average mark in four subjects would have been
60. What was his total marks?
let x=tense digit,y=unit digit
frm d first sentence
3x=2y-1
2y-3x=1.......eq 1
frm d second sentence
d original digit will b (10x+y)..
Confused?...ok lets tak 21 for example,its d same az 10*2+1*1 where 2 is d tense digit and 1 is d unit digit...
So frm d sec statment
10y+x=2(10x+y)-17
8y-19x=-17.....eq 2
solvin equation 1 and 2 simultanously
x=3 and y=5
hence d 2 digit num =35
..d sec question az been delt wit.
Re: Nairaland Mathematics Clinic by bolaji3071(m): 9:51pm On May 01, 2015
ugonna1054:
I was getting decimal points in d first Qst! As. For the second....... Let his total score in 3 subjects be x.... Frm d first statement, a 75 score in Bio will giv him 60 average so (x + 75)/4 = 60..... x + 75 = 240.... x =165!(Score in 3 subjects)...... So his total mark will be (x + 57(real score in Bio)) = 165 + 57 =222
I respect u sir, hoping to be like u people soon.

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