16511 questions

Work out the gradient of the tangent to the curve (y=x^2-x-2) at the point where x=2

y=x^2-x-2y=(x+1)(x-2)The gradient (dy/dx) measures the rate of the change in y with respect to x. So this can be used to help us find the gradient of a function at any point along it. The question asks the to find the gradient when x=2. So firstly we have to differentiate the curve.dy/dx=2x-1Then substitute the x value in: 2 (2) -1 = 3Therefore the gradient of the tangent is 3
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Oriane G.

9 hours ago

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«Все молодые люди должны научиться играть на музыкальном инструменте в школе». Вы согласны с этим мнением? Почему? Почему нет? Напишите сочинение (180–200 слов по-русски).

Изучение музыкального инструмента является одним из лучших методов помогать развитию мозга молодых студентов. Школьные годы играют важную роль как основание взрослой жизни, и если бы больше детей играли в инструменте с молодого возраста, у нас было бы лучше и более передовое общество, для немногих причин.
Во-первых, современное исследование доказывает, что если студент изучает играть в инструменте или занимает каким-то внеклассном занятием, то он часто любопытнее и трудолюбивее в школьном классе. Человеческому мозгу нужна интеллектуальная еда, и если бы в молодости мы ввели инициативы, чтобы предлагать людям учение музыку, увиделись бы сильное увеличение академические оценки вообще.
Во-вторых, …. (essay would continue with one further point, a minor counter point and a conclusion).
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Reuben W.

12 hours ago

Answered by Reuben, tutor with MyTutor

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solve this simultaneous equation: 4x+ y = 12 , 2x+ y = 8

 4x+ y = 12 , 2x+ y = 81) find the unknown (either x or y) that has the same coefficient. - In this example it is y2) Take away the equations from one another so you only have 1 unknown - 2x = 43) Divide by 2, to find the value of x - x = 2 4) substitute the newly found value of x back into one of the equations to find the value of y - (4 x 2) + y = 125) Solve equation - 8 + y = 12 , y = 4
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Natasha S.

14 hours ago

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Name 3 things that can affect the activity of enzymes

1) Temperature: increasing the temperature increases the rate of reaction, however this can only happen to a certain point as beyond each enzyme's optimum temperature they get denatured (active site changes shape).2) pH: each enzyme has its own optimum pH where it works best. Too low or too high pH can change the enzymes active site shape, meaning it won't work as well or is denatured.3) Substrate concentration: increasing the amount of substrate increases the number of collisions with the enzymes, therefore increases the rate of reaction. However, this can only happen to a certain point as the enzymes will become saturated, and no more substrates can fit at any one time even though there are plenty available.
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Jessica C.

15 hours ago

Answered by Jessica, tutor with MyTutor

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Solve the simultaneous equations 3x - y = 5, x + 2y = -3

3x - y = 5 (A), x + 2y = -3 (B),6x - 2y = 10 (2A) ,7x + 2y +- 2y = 7 (2A) + (B),7x +2y - 2y = 7,7x = 7,x = 1,Sub x=1 -> (A),3(1) - y = 5,3 - y = 5,-y = 2,y = -2,x = 1, x= -2
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Jessica C.

15 hours ago

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Describe the four stages of mitosis

There are four stages of mitosis: prophase, metaphase, anaphase and telophase.1) Prophase: chromatin into chromosomes, the nuclear envelope break down, chromosomes attach to spindle fibres by their centromeres 2) Metaphase: chromosomes line up along the metaphase plate (centre of the cell) 3) Anaphase: sister chromatids are pulled to opposite poles of the cell 4) Telophase: nuclear envelope reforms, chromosomes unfold into chromatin, cytokinesis can begin The order of the stages of mitosis can be remembered using the mnemonic PMAT.
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Jessica C.

16 hours ago

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(40 marks) How should I structure my answer to the essay “Does natural law provide a helpful method of moral decision-making?”

1) Begin with an introduction. What is natural law? (An absolutist theory that argues that nature provides unambiguous answers to moral dilemmas) who initially proposed it? (Aquinas, 13th century theologian) Make sure you signpost your view on the matter (I.e. Yes it is a strong method of decision-making for a variety of reasons)
2) With your line of argument set out, explain how natural law works and how it provides its moral guidance (primary precepts, real vs apparent good, “telos” etc...) Think of the strengths and weaknesses of the theory, critically analyse these to strengthen your view (due to it being an objective theory, natural law is practical and easy to follow when making moral decisions) What would the opposing view have as a response to natural law? Use scholars to back up as many arguments as possible. (Aquinas is naïve in believing that humans have a “natural inclination to do good” - Augustine argued that humans are corrupted by “Original Sin” this undermines Aquinas’ theory) Counter the response to further strengthen your view and argument. (There is no empirical evidence for Augustine’s view on human nature) Always refers back to the question and make sure you are indeed answering it.
3) Include a conclusion or judgement, which summarises your argument and makes it clear that you answered the question. Your conclusion should logically follow through, just from reading the essay and should be the same as what you expressed in your introduction.

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Henri L.

2 days ago

Answered by Henri, who has applied to tutor with MyTutor

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What is the difference between using the 'etre' form and the 'avoir' form when conjugating the past tense?

The majority of verbs take the 'avoir' form when conjugated into the past tense. Such as 'J'ai mangé', 'J'ai fait', 'J'ai téléphoné'. However, certain verbs take the 'etre' form. It is sometimes difficult to be sure as to whether a verb will take the 'etre' when conjugated into the past, but there are a couple of rules that help us to identify them. Firstly, ALL reflexive verbs take 'etre', such as, 'Je me suis lavé', 'Je me suis couché'. Secondly, verbs to do with movement tend to take 'etre'. To help us remember some of these, we use a handy acronym: MRS VAN DE TRAMP. Each letter corresponds with a verb that takes 'etre' in the past: Mourir, Retourner, Sortir, Venir, Aller, Naitre, Descendre, Entrer, Tomber, Arriver, Mourir, Partir. The one that's most important to remember is 'Aller', because you'll be using that one a lot. So, if you were to say 'I went', you'd say 'Je suis allé'. The third ESSENTIAL rule about etre verbs, is that the past participle must always agree with the subject. This is not the case with avoir verbs. So, if you were a girl you'd stick an extra 'e' on the end of 'allé', making it 'allée'. Equally, if you are talking about more than one person, you'd need to put an 's' on the end. So, if a group of girls were to say 'we went', it would look like this: 'nous sommes allées'.
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Maddy W.

2 days ago

Answered by Maddy, tutor with MyTutor

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Describe the structure of the human heart and how the blood is pumped by the heart.

The heart can be described as a double pump system. It consists of 4 main chambers (sections) - 2 atria and 2 ventricles split into left and right. The atria have relatively thin walls whereas the ventricles have thicker walls, the left ventricle is more muscular than the right. The easiest way to look at the blood flow of the heart is to start from the right side of the heart going through to the left. The blood flows into the right atrium via the superior and inferior vena cava, the atrium passively fills up whilst the tricuspid valve is closed. The tricuspid valve opens and the right atria contracts pushing the blood into the right ventricle. The tricuspid valve closes again, with the pulmonary valve closed the right ventricle contracts increasing pressure within the ventricle, then the pulmonary valve opens to allow the blood to be pumped to the lungs via the pulmonary arteries. Gaseous exchange takes place in the lungs and oxygenated blood returns to the left side of the heart via the pulmonary veins. Similarly to the right hand side the left atrium fills with blood whilst the bicuspid (mitral) valve is closed, the atria contracts to squeeze the blood into the left ventricle. The left ventricle contracts with both valves closed to increase pressure and then the aortic valve opens to allow the blood to flow through the body via the aorta and great vessels.
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Woojin C.

2 days ago

Answered by Woojin, tutor with MyTutor

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How many distinct solutions does the following equation have? log(base x^2 +2) (4-5x^2 - 6x^3) = 2 a)None, b)1, c)2, d)4, e)Infinitely many

log(base x2 +2) (4-5x2 - 6x3) = 2 is equivalent to 4-5x2-6x3=(x2+2)2 Therefore, we are looking for solutions to the equation 4 - 5x2 - 6x3 = x4 + 4x2 + 4 => x4 + 6x3 + 9x2 = 0 => x2(x2+ 6x + 9) = 0 => x2(x+3)2= 0 Therefore, the equation has 2 distinct solutions. => The answer is c).
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Teodora M.

2 days ago

Answered by Teodora, tutor with MyTutor

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