Nairaland Mathematics Clinic - Education (259)

Nairaland Mathematics Clinic - Education (259) - Nairaland

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Re: Nairaland Mathematics Clinic by killsmith(f): 8:41pm On May 26, 2019

tannyp:
.thanks a lot sir,I'm long done with the exam

Hope the exam was a success?

Re: Nairaland Mathematics Clinic by GMacbeth: 6:15pm On Jun 02, 2019

Please help me out on this

Re: Nairaland Mathematics Clinic by MeetDx(m): 11:05am On Jun 04, 2019*

^^^^

Solution to Q1

If y = tan(2x)
Using chain rule =>
Let's Put u = 2x, then... du/dx = 2
so that y = tanu
and dy/du = sec²u
:. dy/dx = dy/du* du/dx => sec²(2x) * 2
:. The derivative of tan(2x) => y' => d/dx{tan2x} => 2sec²(2x) =>2/cos²(2x)

To show that y' = 2(1 + y²)

Take from the RHS
2(1 + y²) => 2{1 + tan²(2x)}
=> 2{1 + sin²(2x)]/cos²(2x)}
=> 2{cos²(2x) + Sin²(2x)}/ cos²(2x).

Since sin²A + Cos²A = 1,
then => cos²(2x) + Sin²(2x) => 1

:. 2(1 + y²) => 2{1/cos²(2x)} => 2sec²(2x) => y' => LHS

Re: Nairaland Mathematics Clinic by MeetDx(m): 11:32am On Jun 04, 2019

GMacbeth:
Please help me out on this

Solution to Q2

y = cot(2x)

Using chain rule
let's put u = 2x

So that du/dx = 2

and y = cotu

:. dy/du = -cosec²u

dy/dx = dy/du * du/dx => -cosec²u * 2
=> -2cosec²u
y'=> -2cosec²(2x)

To show that

y' = -2( 1 + y²)

From RHS =>
substitute y = cot(2x)

=> - 2{ 1 + cot²(2x)}

=> -2{1 + cos²(2x)/sin²(2x)}

=> -2{ sin²(2x) + cos²(2x)}/sin²(2x)

Since Sin²A + Cos²A = 1

sin²(2x) + cos²(2x) = 1

:. -2{ 1/sin²(2x)}

=> -2cosec²(2x)
=> y' => LHS

Re: Nairaland Mathematics Clinic by Blessingposhh(f): 9:22am On Jun 10, 2019

Please sir help me out on this

Re: Nairaland Mathematics Clinic by Ragnarr(m): 7:12am On Jun 11, 2019

Please help on this

Re: Nairaland Mathematics Clinic by mathefaro(m): 7:36am On Jun 11, 2019

Ragnarr:
Please help on this

we know that
Sin²x + Cos²x = 1
Hence cos²x = 1 - Sin²x
Therefore, the LHS of the equation can become sqrt(Cos²x) = Cos x = RHS

Re: Nairaland Mathematics Clinic by Ragnarr(m): 1:30pm On Jun 11, 2019

mathefaro:
we know that
Sin²x + Cos²x = 1
Hence cos²x = 1 - Sin²x
Therefore, the LHS of the equation can become sqrt(Cos²x) = Cos x = RHS

thank u sir

1 Like

Re: Nairaland Mathematics Clinic by Nobody: 6:54am On Jun 13, 2019

Mathefano
MeetDx
mechanics96
Yusman14
Killsmith
Lapacian
All the bosses in the house, plz I really need to submit this, and I just found this thread out, plz help out

Re: Nairaland Mathematics Clinic by SPLENDID25(m): 6:23pm On Jun 13, 2019

Please help me out with these.

Re: Nairaland Mathematics Clinic by Flyingngel(m): 9:53pm On Jun 14, 2019

Am grateful for stumbling on a thread like this.
I knw it is not late for me.

Re: Nairaland Mathematics Clinic by Nobody: 4:32pm On Jun 17, 2019

SPLENDID25:
Please help me out with these.

Forum Title: Mathematics

Your Post: Quantum Physics

Related fields but your question might not be answered on time

1 Like 1 Share

Re: Nairaland Mathematics Clinic by SPLENDID25(m): 8:08pm On Jun 17, 2019

Darivie04:
Forum Title: Mathematics
Your Post: Quantum Physics
Related fields but your question might not be answered on time

but the first is mathematics; exponential functions

Re: Nairaland Mathematics Clinic by reccy(m): 12:18pm On Jun 26, 2019

By eliminating @, or otherwise, find the value of "a" for which the equatios are consistent:
Tan@ + 2 sec@ = 2
Cot@ + 3 cosec@ = a.

Hence find @ in the range , -180≤@≤ 180, giving your answer to the nearest degree .

Please help me with the question above.

Re: Nairaland Mathematics Clinic by Ojayyonline(m): 6:57am On Jul 15, 2019

wow!! whr have I been all these while...

Re: Nairaland Mathematics Clinic by Ojayyonline(m): 7:40am On Jul 15, 2019

reccy:
By eliminating @, or otherwise, find the value of "a" for which the equatios are consistent:
Tan@ + 2 sec@ = 2
Cot@ + 3 cosec@ = a.

Hence find @ in the range , -180≤@≤ 180, giving your answer to the nearest degree .

Please help me with the question above.

please I think your question should be checked properly and then pls comment after u are sure of the question.

Re: Nairaland Mathematics Clinic by Ojayyonline(m): 7:42am On Jul 15, 2019

reccy:
By eliminating @, or otherwise, find the value of "a" for which the equatios are consistent:
Tan@ + 2 sec@ = 2
Cot@ + 3 cosec@ = a.

Hence find @ in the range , -180≤@≤ 180, giving your answer to the nearest degree .

Please help me with the question above.

I'm waiting for your reply before I waste time solving an incorrect question pls

Re: Nairaland Mathematics Clinic by Ojayyonline(m): 8:04am On Jul 15, 2019*

SPLENDID25:
Please help me out with these.

pick the ones you want to be helped out in.

Re: Nairaland Mathematics Clinic by SPLENDID25(m): 12:18pm On Jul 15, 2019

Ojayyonline:
pick the ones you want to be helped out in.

the first one, exponential functions.

Re: Nairaland Mathematics Clinic by Ojayyonline(m): 6:20pm On Jul 15, 2019

cole01:
Mathefano
MeetDx
mechanics96
Yusman14
Killsmith
Lapacian
All the bosses in the house, plz I really need to submit this, and I just found this thread out, plz help out

The domain of the function is given by {0<x < or =1 : x € R}cole01:
Mathefano
MeetDx
mechanics96
Yusman14
Killsmith
Lapacian
All the bosses in the house, plz I really need to submit this, and I just found this thread out, plz help out
The domain of the function is given by {0<x < or =1 : x € R}

cole01:
Mathefano
MeetDx
mechanics96
Yusman14
Killsmith
Lapacian
All the bosses in the house, plz I really need to submit this, and I just found this thread out, plz help out

The domain of the function is given by {0<x < or =1 : x € R}

Re: Nairaland Mathematics Clinic by reccy(m): 3:38pm On Jul 16, 2019

Ojayyonline:
I'm waiting for your reply before I waste time solving an incorrect question pls

The question is right. I have cross checked it and is on point

Re: Nairaland Mathematics Clinic by reccy(m): 3:40pm On Jul 16, 2019

Ojayyonline:
please I think your question should be checked properly and then pls comment after u are sure of the question.

Sure, the question is right

Re: Nairaland Mathematics Clinic by Freshigur: 3:56pm On Jul 17, 2019

Hello house.

Pls suggest a good textbook for calculus for first years.

I Don't have any text in mind cos I don't know any .
Thank you.

Re: Nairaland Mathematics Clinic by Nobody: 9:02pm On Jul 17, 2019

Freshigur:
Hello house.

Pls suggest a good textbook for calculus for first years.

I Don't have any text in mind cos I don't know any .
Thank you.

Spivak Calculus

Re: Nairaland Mathematics Clinic by Nobody: 6:21am On Jul 18, 2019

Darivie04:
Spivak Calculus

This book is not for beginners and only advanced students can actually read it.
Although I used Spivak's book as my first introduction to Calculus. I would not be so fast to recommend it to people even when I believe it's the best Calculus book out there.

Share your number with me as I have been meaning to communicate with you outside this forum. I

Re: Nairaland Mathematics Clinic by Nobody: 2:46pm On Jul 19, 2019*

MathsEconomics:
This book is not for beginners and only advanced students can actually read it.
Although I used Spivak's book as my first introduction to Calculus. I would not be so fast to recommend it to people even when I believe it's the best Calculus book out there.

Share your number with me as I have been meaning to communicate with you outside this forum. I

Re: Nairaland Mathematics Clinic by Nobody: 12:02am On Jul 20, 2019

Darivie04:
080

Seen it.

Re: Nairaland Mathematics Clinic by tolulopevoice: 9:04am On Jul 20, 2019

Good morning mathematicians.. Please I need solution to question 4. Note the middle line of the triangle is not there I only use pencil to trace it out when I was solving but am not satisfied with my solution...

1 Share

Re: Nairaland Mathematics Clinic by Nobody: 9:51am On Jul 20, 2019

tolulopevoice:
Good morning mathematicians.. Please I need solution to question 4. Note the middle line of the triangle is not there I only use pencil to trace it out when I was solving but am not satisfied with my solution...

Have you studied coordinate geometry?

Re: Nairaland Mathematics Clinic by tolulopevoice: 10:44am On Jul 20, 2019

Yes but the question was from yesterday's junior waec maths but was wondering how can dey ask such questions from jss 3 students

Darivie04:
Have you studied coordinate geometry?

Re: Nairaland Mathematics Clinic by tolulopevoice: 6:27pm On Jul 20, 2019

Still waiting for solutions please

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