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Find the gradient of the tangent to the line y=(x-2)^2 at the point that it intercepts the y-axis

First find the coordinates of the point in question:We know x=0By plugging this into the equation of the line we get y=(0-2) 2 = (-2) 2 = 4Therefore the point is (0,4) To find the gradient of a line, we diff...
AJ
Answered by Alec J. • Maths tutor
4081 Views

What is the difference between rationalism and empiricism?

Rationalism refers to a school of thought which prioritises reason as the main source of knowledge. It hold the belief that we can know things about the world through reasoning alone, without any physical, m...
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Answered by Will K. • Philosophy tutor
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How do I structure my essay?

So the most important thing to start with is your argument, as this will form the skeleton/ base for your answer. You must always stay focused to the argument and not stray from it, so I would always write t...
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Answered by Maddie W. • History tutor
2391 Views

How do I solve simultaneous equations using the substitution method?

2y + x = 8 (equation 1) and 1 + y = 2x (equation 2) Step 1: make y subject of equation 2: y = 2x - 1 Step 2: sub this value of y into equation 1: 2(2x - 1) + x = 8 Step 3: solve the above equation to find x:...
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Answered by Lulu H. • Maths tutor
3716 Views

Find the roots of the following equation 2x^2-11x+14=0

First start by copying down the question and making sure that you have copied all of the correct numbers. We then identify that it is a quadratic equation due to there being an x raised to a power 2 term. Du...
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Answered by Jack D. • Maths tutor
3567 Views