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The point A lies on the curve with equation y = x^(1/2). The tangent to this curve at A is parallel to the line 3y-2x=1. Find an equation of this tangent at A. (PP JUNE 2015 AQA)  

My exact explanation would depend on the students level of understanding. The following answer assumes a basic understanding of differentiation and equations of lines; a) Gradient of tangent is equal to grad...
SC
Answered by Sefret C. • Maths tutor
7990 Views

Simon's car has run out of fuel. He must push his car 5 metres to the petrol pump, using a force of 200N. How much work does Simon do?

This question asks students to recall the equation Work done = Force x Distance. In this question, students must multiply 200 by 5, with the answer being 1000 Joules. It is important that the students rememb...
JW
Answered by James W. • Physics tutor
3192 Views

John has 12 marbles. Sandra has 10 more marbles than Kathy. Kathy has 4 times as many marbles as John. How many marbles does Sandra have?

This question asks how students can formulate linear equations from worded questions. The first step is to give each person an algabraic symbol. j for John, s for Sandra and k for Kathy works fine. Next, stu...
JW
Answered by James W. • Maths tutor
5635 Views

What are the main differences between Bentham and Mill's utilitarianism and which theory is better?

Both thought that the moral value of an act was determined by the pleasure it produced. Bentham considered only quantity of pleasure , but Mill considered both quantity and quality of pleasure. Bentham's uti...
SW
310799 Views

How do you tell whether to use the perfect or the imperfect tense?

The quickest way to think of it is that the perfect tense is for actions that are done one time in the past and finished - ‘j’ai mangé la banane’ (implying that there was one banana and that you finished eat...
JH
Answered by Jenny H. • French tutor
2720 Views