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Re: Nairaland Mathematics Clinic by naturalwaves: 5:15pm On Aug 24, 2017
agentofchange1:
greetings great geniuses here ... its been a while.
Greetings bro.
Re: Nairaland Mathematics Clinic by personal59: 7:01pm On Aug 24, 2017
what else can I say than thank you to all who help me out and those who are not chanced am really grateful
Re: Nairaland Mathematics Clinic by ElectGINeer(m): 4:32am On Aug 29, 2017
How do I integrate 3^x log 3

Re: Nairaland Mathematics Clinic by ogajaki(m): 8:44am On Aug 29, 2017
download post utme past question from here www.pastquestionblog..com
Re: Nairaland Mathematics Clinic by samola01: 3:44pm On Aug 29, 2017
pls help solve the following:
1. find the equation of the curve with gradient 2x+3 and which pass through the point (2,6)

2. suppose y varies as the sum of two quantities, one of which varies directly as x and the other inversely with x. when x =2, y = 7. find the relationship between x and y
Re: Nairaland Mathematics Clinic by profmathsland(m): 3:50am On Sep 04, 2017
samola01:
pls help solve the following:
1. find the equation of the curve with gradient 2x+3 and which pass through the point (2,6)

2. suppose y varies as the sum of two quantities, one of which varies directly as x and the other inversely with x. when x =2, y = 7. find the relationship between x and y


Are you sure the second question is comprehensively asked extremely well?If yes then the repeated use of the variable x is a suspect because there will be two different constants unless you want to expect the person to use the same constant for the variable x twice or otherwise.The question is a partial or part variation question though and it has to be properly looked into very well.If the question is correct then the two forms will be y=kx and y=k/x of which if you add both of them together you will have y=kx+k/x if that's what you expect though and substituting the values of x and y into that equation it will result to y=(14x^2+14)/5x.But if we solve it with two different constants as against the same constants then it will be a different ball game.
For the first question, the gradient is already the derivative of x which implies that it will be integrated with respect to x and it will be y=x^2+3x+c.On substituting this to x=2 and y=6 the value of c will be gotten as -4 which will be inputed into the function gotten so that at the end of the day the equation of the curve will be y=x^2+3x-4.

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Re: Nairaland Mathematics Clinic by Aybalance: 12:00pm On Sep 04, 2017
hello,i really need help with this question.An isosceles triangle of sides 13,13,10 is inscribed in a circle.what is the radius of the circle.anybody? Tanks in advance
Re: Nairaland Mathematics Clinic by naturalwaves: 12:13pm On Sep 04, 2017
ElectGINeer:
How do I integrate 3^x log 3
Here is the solution.

Re: Nairaland Mathematics Clinic by naturalwaves: 12:47pm On Sep 04, 2017
Aybalance:
hello,i really need help with this question.An isosceles triangle of sides 13,13,10 is inscribed in a circle.what is the radius of the circle.anybody? Tanks in advance
You did not give the units for the dimension. So, I will assume that it is in cm. The radius of the circle is approximately 7.04 cm. See the solution....

Re: Nairaland Mathematics Clinic by Aybalance: 4:46pm On Sep 04, 2017
naturalwaves:

You did not give the units for the dimension. So, I will assume that it is in cm. The radius of the circle is approximately 7.04 cm. See the solution....
clear and understood.thanks once more.really appreciated
Re: Nairaland Mathematics Clinic by Aybalance: 5:35pm On Sep 04, 2017
pls,i also need help on this simplification.thanks in advance

Re: Nairaland Mathematics Clinic by naturalwaves: 5:54pm On Sep 04, 2017
Aybalance:
clear and understood.thanks once more.really appreciated
You are welcome!
Re: Nairaland Mathematics Clinic by naturalwaves: 5:56pm On Sep 04, 2017
Aybalance:
pls,i also need help on this simplification.thanks in advance
You need to write out the questions well. Is that a raised to power 4/3? Your a also looks like 9.So, write out the question properly so I can solve.
Re: Nairaland Mathematics Clinic by DanitoA1(m): 6:01pm On Sep 04, 2017
Become A Human Calculator, Solve Calculations Without Calculators

Learn how to solve calculations without the use of your calculator.
It is no longer a news that the trends of exams are changing, the use of calculators has been scrambled from many examination platform both at secondary and tertiary levels and so it is expedient to know how to solve very fast without the use of a calculator.
Below are some few examples of what the main package contains:

 Multiplication by 11

To multiply 52 and 11, imagine there is a space between 52


52*11= 5_2 (Put an imaginary space in between)

Now, lets fill the space;

Just add 5 and 2 and put the result in the imaginary space


So, 52 * 11 =572 (which is your answer)


Isn't it great?

Let’s try some more examples:


1) 35 * 11 = 3 (3+5) 5 = 385

2) 81 * 11 = 8 (8+1) 1 = 891

3) 72 * 11 = 7 (7+2) 2 = 792 etc..
With just a little bit of practice you can easily perform these simple mental maths tricks in the blink of an eye.


 Multiply any large number by 12 mentally in seconds

To multiply any number by 12 just double last digit and thereafter double each digit and add it to the next and right each result:
I know it sounds boring and senseless, just check the examples below to get it clearly;

For example 21314 * 12 = 255768

Let’s break it into simple steps:

Step 1: 021314 * 12 = _____8 (Double of Last Digit 4= 8 )

Step 2: 021314 * 12 = ____68 (Now Double 1= 2, and add it to 4, 2+4=6)
Step 3: 021314 * 12= ___768 (Now Double 3=6, and add it to 1, 6+1=7)

Step 4: 021314 * 12= __5768 (Now Double 1=2, and add it to 3, 2+3=5)

Step 5: 021314 * 12= _55768 (Now Double 2=4, and add it to 1, 4+1=5)

Step 6: 021314 * 12= 255768 (Now Double 0=0, and add it to 2, 0+2=2)

So your final answer of 21314 * 12 = 255768


 Is 456138 divisible by 9?

Now, it only takes 2 seconds for you to determine the answer. But if you go by the traditional way then it will take you 10 seconds. So you can see the difference. Those 8 extra seconds you win, you can spend on other question. Isn't it?

No let see the solution

(Answer) To test whether a certain large number is divisible by 9 or not, 'just add all the digits of the number and if the end result is divisible by 9, then you can say that the entire large number will be divisible by 9 too'.

4+5+6+1+3+8=27

Now since 27 is divisible by 9 so 456138 will be divisible by 9 too.

 Calculating Square of numbers quickly...
Squaring numbers is quit easy check the examples below:
Lets calculate the square of 54

So (54)^2 = 5^2 +4 -- 4^2 = 25 +4 ----16 =29-------16= 2916

Similarly (55)^2 = 5^2 +5 --5^2=25+5------25=30---------25= 3025

Similarly (56)^2 = 5^2 + 6--6^2=25+6------36= 31--------36= 3136 etc..

Similarly try out squares of 57, 58 etc..

Some of this might not make full sense to you for now, but I can assure that with the full Amazing mathematics Tricks E-book would give you all the explanations you need in a simple and clear way, try it out following the link below to get on Okada online book store:


Get the complete PDF for just #300 at http://okadabooks.com/book/about/amazing_mathematics_tricks/12739

You stand the chance to learn how to solve the following without the use of calculators:

> Addition Tricks
> Subtraction Tricks
> Multiplication Tricks
> Squaring of Numbers
> Square roots of Numbers, as well as
> cube roots of numbers and lot more.

http://okadabooks.com/book/about/amazing_mathematics_tricks/12739

Okada books permits Purchases using airtime, Thanks best regards.

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Re: Nairaland Mathematics Clinic by Aybalance: 6:37pm On Sep 04, 2017
naturalwaves:

You need to write out the questions well. Is that a raised to power 4/3? Your a also looks like 9.So, write out the question properly so I can solve.
sorry for that .i think i need 2 improve on my writing but anyways it is 4/3 and every thing is "a" not 9.if it is still unclear ,i could post the questions again .thanks
Re: Nairaland Mathematics Clinic by naturalwaves: 6:38pm On Sep 04, 2017
Aybalance:
sorry for that .i think i need 2 improve on my writing but anyways it is 4/3 and every thing is "a" not 9.if it is still unclear ,i could post the questions again .thanks
okay. I will solve . I am on the road.
Re: Nairaland Mathematics Clinic by Aybalance: 10:20am On Sep 08, 2017
naturalwaves:
okay. I will solve . I am on the road.
natural waves ,am still expecting your reply because av been trying the question all this day without solution .I think da question iz faulty.But i need confirmation from someone
Re: Nairaland Mathematics Clinic by naturalwaves: 2:12pm On Sep 08, 2017
Aybalance:
natural waves ,am still expecting your reply because av been trying the question all this day without solution .I think da question iz faulty.But i need confirmation from someone
Okay. Will solve it today.
Re: Nairaland Mathematics Clinic by naturalwaves: 3:30pm On Sep 08, 2017
Aybalance:
pls,i also need help on this simplification.thanks in advance
Here is the solution :

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Re: Nairaland Mathematics Clinic by Aybalance: 11:56pm On Sep 11, 2017
naturalwaves:

Here is the solution :
Am really glad,thanks man cool
Re: Nairaland Mathematics Clinic by afo7219: 9:57am On Sep 12, 2017
Pls guys help me solve this calculation wit explanations.
Alhaji bello has 36months car loan of #50,000 @ 12% interest rate per annum. What is the MONTHLY loan repayment?
Re: Nairaland Mathematics Clinic by naturalwaves: 10:46am On Sep 12, 2017
Aybalance:
Am really glad,thanks man cool
You are welcome.You understand the solution well, right?
Re: Nairaland Mathematics Clinic by naturalwaves: 10:56am On Sep 12, 2017
afo7219:
Pls guys help me solve this calculation wit explanations.
Alhaji bello has 36months car loan of #50,000 @ 12% interest rate per annum. What is the MONTHLY loan repayment?
There are different ways to solve this but let us take a simple approach. Since the interest rate is given per annum, you have to use years to solve.
36 months is 3 years. Number of years = 3 years.
Let us now calculate his interest
I= PRT
I= 50000* 12/100 * 3
I= 18000
The interest is 18,000 naira. So, the amount he is supposed to pay for the whole 36 months will be 50,000+ 18,000 = 68,000 naira.
This means that he is going to pay 68k back for the 50k he collected.
Since he is going to pay 68000 naira for 36 months, he will pay 68,000/36 every month and that will be #1,888. 89k.
Every month, he will pay #1,888.89k
Re: Nairaland Mathematics Clinic by afo7219: 11:25am On Sep 12, 2017
naturalwaves:

There are different ways to solve this but let us take a simple approach. Since the interest rate is given per annum, you have to use years to solve.
36 months is 3 years. Number of years = 3 years.
Let us now calculate his interest
I= PRT
I= 50000* 12/100 * 3
I= 18000
The interest is 18,000 naira. So, the amount he is supposed to pay for the whole 36 months will be 50,000+ 18,000 = 68,000 naira.
This means that he is going to pay 68k back for the 50k he collected.
Since he is going to pay 68000 naira for 36 months, he will pay 68,000/36 every month and that will be #1,888. 89k.
Every month, he will pay #1,888.89k
sorry. I have tried this approach n I got d same tin but d answer is 1,661
Re: Nairaland Mathematics Clinic by afo7219: 11:26am On Sep 12, 2017
Which other way can one use to solve it?
Re: Nairaland Mathematics Clinic by naturalwaves: 11:27am On Sep 12, 2017
afo7219:
sorry. I have tried this approach n I got d same tin but d answer is 1,661
The answer is wrong then. Not everything you see in a book is correct.
Re: Nairaland Mathematics Clinic by Mechanics96(m): 1:32pm On Sep 12, 2017
Good job here!

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Re: Nairaland Mathematics Clinic by Nobody: 5:04pm On Sep 13, 2017
naturalwaves:

It does not satisfy. Will solve again and see where it went wrong when I am settled. Thanks.


Modified:

X is undefined at 0. Hence x is not equal to 0 and cannot be substituted either. Try out other sets of values and you will see that the answer is absolutely correct. The reason why X is undefined at 0 is because one of the given terms in the question has X as its base. Therefore, X cannot be subtututed at 0. CC: masperano

Nah I don't think so (although I picked the wrong example), I am pretty sure it is incorrect. Try any number greater than -2/3 but less than 4/3 (for example 1 which is greater than -2/3)... Your solution crumbles ( it fails to satisfy the quadratic).
Or indeed try out other values outside your solution set, say -5 (infact any number less than -2/3) you see that it satisfies the quadratic solution which again invalidates your solution.

The true solution to that your quadratic equation is x<-2/3 and x>4/3. Cheers!
Re: Nairaland Mathematics Clinic by Aybalance: 9:43am On Sep 14, 2017
naturalwaves:
You are welcome.You understand the solution well, right?
100% clear.Ar u a student,aspirant or ??.Sorry 4 the questions
Re: Nairaland Mathematics Clinic by naturalwaves: 12:07am On Sep 15, 2017
masperano:


Nah I don't think so (although I picked the wrong example), I am pretty sure it is incorrect. Try any number greater than -2/3 but less than 4/3 (for example 1 which is greater than -2/3)... Your solution crumbles ( it fails to satisfy the quadratic).
Or indeed try out other values outside your solution set, say -5 (infact any number less than -2/3) you see that it satisfies the quadratic solution which again invalidates your solution.

The true solution to that your quadratic equation is x<-2/3 and x>4/3. Cheers!

Bro, you are still wrong, X > -2/3, x >4/3 is the correct set. This means that -2/3 < X > 4/3. If you look at this, it looks disjoint because we could then just say that X > 4/3 since it is greater than -2/3 as well. In such cases, rather than write X> -2/3 or X > 4/3 which is the same as -2/3 < X > 4/3, the proper way of writing it when such situation occurs is -2/3 < X < 0, X> 4/3.The only mistake I made was not to split it with the "0" interval. Therefore correct answer is -2/3 < X <0, X> 4/3



Quick check.: -2/3 is approximately -0.667 which is approximately -0.7. The set of values that will satisfy my answers for part 1 are all numbers that are greater than this(-0.7) but less than 0. Examples of such are; -0.5,-0.4,-0.3,-0.2,-0.1 etc. You can try as much as you want.
Note: All trials must be checked with the initially given inequation and not the quadratics you are trying it out with.


I even used online tools and inequality solvers online to crossycheck and this was what they showed.

Re: Nairaland Mathematics Clinic by naturalwaves: 12:12am On Sep 15, 2017
Aybalance:
100% clear.Ar u a student,aspirant or ??.Sorry 4 the questions
No bro. I grad 7 years ago o. grin grin grin
Re: Nairaland Mathematics Clinic by naturalwaves: 1:03am On Sep 15, 2017
@masperano. See another solution from cymath

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