# Tutor profile: Sofiya H.

## Questions

### Subject: Russian

What is the difference between замок and замок? The difference between the two can be only heard. When the stress is put on the first part of the word, ЗАмок, the person is referring to a castle, since замок means both castle and lock in Russian. When the stress is put on the last part of the word, заМОК, you are looking at a reference to a key.

From this conversation tell us something about Nikita. Q: Никита, расскажи мне о школе. A: Школа небольшая. Я хорошо учусь и учителя, по-моему, хорошие специалисты, но они довольно строгие. Q: А что можно делать после уроков? A: Я люблю петь в хоре и иногда на спектаклях. У нас сильная школьная команда по плаванию, но мы редко играем в хоккей и футбол. Раньше был обмен со школой в Австрии, но он стоил очень дорого. Я бы с удовольствием поехал туда на неделю. From this passage we can see that Nikita goes to a relatively small school, where he feels he studies pretty well and the teachers are in his opinion great experts, but can sometimes be a He likes to sing in a choice and sometimes in musicals. At his school there is also a very strong swimming team, but they don't often play hockey or football. Before there was an exchange programme arrangement with a school in Austria, but it was very expensive. He says he would have loved to go there for a week.

### Subject: Medicine

What is the portal vein? The portal vein is a large blood vessel which conveys nutrient rich blood from the GI tract to the liver. Its responsible for about 75% of hepatic blood flow. The portal vein is formed by the superior mesenteric and splenic veins.

Which cells are present in the liver? There are three main cells present in the liver, these are: 1) Kupffer, 2) Hepatic stellate and 3) Hepatocyte cells.

### Subject: Calculus

Q: For the function f(x) = (x + 3)(x - 2)^3, find the turning points of the function A: To answer this question you must first define the concept of a turning point, it is where the function is equal to zero. To do this you need to find the derivative of the function, more specifically we simply find the first derivative of f(x): = f '(x) = (x - 2) 3 + 3(x + 3)(x - 2)^2 = (x - 2) 2(4x + 7) Since f(x) has zeros within each bracket, this means f(x) has zeros at x = 2, and x = -7/4

Q: if u = f(x) and f(x) = x^2 - 3x + 7, what is du? A: In this case we need to be familiar with the concept of differentials. "du" stands for the differential of "u", which in essence is the differential of f(x). Since we have several parts in the function, we need to differentiate by parts. This can be done by following the rules of differentiation. For x^2 (x squared), you take the number of the power (two in this case), move it to the front of the expression and at the same time decreasing the power by one = 2x^1, giving you just 2x. You do the same for 3x, since x^1 decreased by 1 will be x^0 and as you know x^0 = 1. This gives you 2x + 3 overall

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