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Degree: Natural Sciences (Bachelors) - Durham University

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#### About me

Hi, my name is Sahiti and I am a second year natural sciences student (studying maths, economics and computer science).

Why me?

I am passionate about both maths and economics, which both make up a major part of my degree. I l love to help and would love to pass on my knowledge and passion to students.

taught computing in my final year to younger students, which has helped me learn ways to explain things that others find difficult in an engaging manner.

Want tuition in Maths or Economics?

I understand that sometimes, especially with subjects like maths, it is helpful to have things explained in a different way and I hope to be able to be able to provide this for any subjects you struggle with.

I can also help with exam tips and tricks with economics, which will help your essays score those top marks.

We can explain concepts you do not understand, create mock questions and answers as well as go through past papers together depending on what you struggle with and what suits you!

Getting Started

If you have any questions please either book a meet the tutor session or WebMail me through the website. Please include your exam board and what you are struggling with.

Thank you and I look forward to meeting you!

#### Subjects offered

SubjectQualificationPrices
Economics A Level £20 /hr
Maths A Level £20 /hr
Maths GCSE £18 /hr

#### Qualifications

SubjectQualificationLevelGrade
MathsA-levelA2A*
Further MathsA-levelA2A
EconomicsA-levelA2A*
PhysicsA-levelA2A
 CRB/DBS Standard No CRB/DBS Enhanced No

### How do you solve the simultaneous equations 3x + 4y = 5 and 2x – 3y = 9

We label each equation 3x + 4y = 5 (1) 2x – 3y = 9 (2) We now want to get rid of one of the variables (x or y). Lets get rid of x: We need (1) and (2) to have the same number of x's so we multiple (1) by 2 and (2) by 3 so they both have 6 x's 6x + 8y = 10 (1)*2 6x - 9y = 27 (2)*3 ...

We label each equation

3x + 4y = 5 (1)

2x – 3y = 9 (2)

We now want to get rid of one of the variables (x or y). Lets get rid of x:

We need (1) and (2) to have the same number of x's so we multiple (1) by 2 and (2) by 3 so they both have 6 x's

6x + 8y = 10 (1)*2

6x - 9y = 27 (2)*3

Now to get rid of the x's we take one of the equations from the other. It is easier to do (2)*3 -(1)*2

6x - 9y = 27 (2)*3

- 6x + 8y = 10 (1)*2

-17y = 17

If we devide this equation by -17 we get

y = -1

We can plug this value of y into (1) to get

3x -4 = 5

add 4 to both sides of the equation

3x = 9

Divide by 3

x = 3

Now to check put x and y into (2)

6 - (-3) = 9

As this is true, we have the solution

x = 3, y = -1

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2 years ago

6320 views

### If x = cot(y) what is dy/dx?

Here we will use: cot(x) = cos(x)/sin(x) cosec2(x) = 1 + cot2(x) Chain rule : dy/dt * dt/ dx = dy/ dx Product rule : d/dx (u*v) = u*dv/dx + v*du/dx x = cot(y)= cos(y)/sin(y) dx/dy = -cos(y)*(cos(y)/sin(y)2) + 1/sin(y)* (-sin(y))          = -cos2(y)/sin2(y) -1 = - cos2(y)/sin2(y) -sin2(y)​ ...

Here we will use:

cot(x) = cos(x)/sin(x)

cosec2(x) = 1 + cot2(x)

Chain rule : dy/dt * dt/ dx = dy/ dx

Product rule : d/dx (u*v) = u*dv/dx + v*du/dx

x = cot(y)= cos(y)/sin(y)

dx/dy = -cos(y)*(cos(y)/sin(y)2) + 1/sin(y)* (-sin(y))

= -cos2(y)/sin2(y) -1 = - cos2(y)/sin2(y) -sin2(y)​ /sin2(y)

= -(sin2(y)+ cos2(y))/sin2(y)​ = -cosec2(y)

cosec2(y) = 1 + cot2(y)

x = cot(y)

dx/dy = -(1 + x2)

dy/dx = -1/(1+x2)

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2 years ago

2052 views

### What is the Current Account

The current account is a section in the Balance of Payments, which shows a country's transactions with goods, services and income. It is made up of four different parts. 1) The balance of trade in goods 2) The balance of trade in services 3) Net income flows (wages and investment income) 4)...

The current account is a section in the Balance of Payments, which shows a country's transactions with goods, services and income. It is made up of four different parts.

1) The balance of trade in goods

2) The balance of trade in services

3) Net income flows (wages and investment income)

4) Net current transfers (unilateral flows with nothing received in return e.g. aid)

Each transaction is entered into the account as a credit (e.g. exports, money into the country) or debit (e.g. imports, money out of the country).

The current account can be either in surplus or in deficit. If all the current accounts in the world were added they would sum to 0 (assuming you add the surplus and minus the deficit) as each credit in one country, is a debit in another.

The main factors effecting the current account are,

1) Competitiveness:

This is a long run indicator to whether a country will reduce its deficit (or increase its surplus). The more competitive a country is, the more it exports and the less it imports, as domestic goods are more affordable or better quality than foreign goods. Competitiveness depends on unit labour costs, relative wages and infrastructure.

2) Economic Growth

With an increase in economic growth, it is likely that consumption increases. This may mean that more imports as consumed, causing a fall in the current account, provided ceteris paribus (all else is equal).

3) Exchange Rates

With a depreciation in the exchange rate, a currency becomes relatively more competitive, making exports cheaper for foreign countries and imports more expensive for the domestic country. This will lead to an improvement in the current account.

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2 years ago

679 views
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