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What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?

To answer this question, we must use our knowledge of integration and differentiation. 
First, we look at the information given to us. We have been told that the gradient of the curve is given by dy/...

SK
Answered by Samradnyee K. Maths tutor
59342 Views

Solve the following simultaneous equations to find the values of x and y: 3y - 7x = 15 & 2y = 4x + 12

Equation one: 3y - 7x = 15

- Double it and re arrange   3y - 7x = 15 goes to 3y = 7x + 15 goes to 6y = 14x + 30 we name this equation 3

Equation two: 2y = 4x +12

...

IP
Answered by Imogen P. Maths tutor
4236 Views

A line has equation y = 2x + c and a curve has equation y = 8 − 2x − x^2, if c=11 find area between the curves

Extracted from Cambridge International Examinations / MATHEMATICS 9709/11 Paper 1 Pure Mathematics 1

(7 points out of 10 for this question)

A line has equation y = 2x + c an...

LA
13215 Views

How can I differentiate x^2+2y=y^2+4 with respect to x?

To differentiate this kind of expression you would need to use implicit differentiation. 

Although it may sound new, you already have all the skills you need to be able to do it. We will ...

MS
Answered by Margarita S. Maths tutor
5889 Views

Write down the value of (125)^2/3

When you see a fraction as the power like this you want to try to simplify it to things that you can do (like power of 1/2 or 2). 125 is one of the key numbers to remember when preparing for your GCSEs...

AJ
Answered by Alice J. Maths tutor
7750 Views

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