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How to factorise 6x^2-11x-10?

Firstly, when we need to factorise an expression like ax 2 + bx + c, we should find two numbers m and n such that mn = ac and m+n = b. In this question, a = 6, b = -11, c = -10. So mn = -60 and m+n = -11. Le...
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Answered by Yunxi S. • Maths tutor
18932 Views

How can I maximise my performance and efficiency in an exam?

Confidence in your mathematical ability and subsequent answers in an exam is key. During an exam you should be confident with the answers that you are giving which can be achieved with steady revision and at...
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Answered by James S. • Maths tutor
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What is a derivative and how are they used?

A derivative is a function that tells us the gradient of a curve at any point. Say you have a function like f(x)=x 3 +x 2 and you want to know when the function is stationary, i.e. has a gradient of zero. We...
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Answered by Nikhil S. • Maths tutor
4292 Views

What is the definite integral of 2x^2 + 4x + 1 with a lower limit of 3 and a higher limit of 6?

When integrating we add one to the power of x and divide the number in front of the x by the new power for each part of the function. So 2x^2 becomes 2/3 x^3, 4x becomes 4/2 x^2, 1 becomes 1/1 x^1. Then we n...
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Answered by Ed L. • Maths tutor
3747 Views

A curve C is defined by the equation sin3y + 3y*e^(-2x) + 2x^2 = 5, find dy/dx

d(sin3y)/dx= 3cos3y*(dy/dx)d(3y e^(-2x))/dx = -6y e^(-2x) + 3(dy/dx) e^(-2x)d(2x^2)/dx = 4xd(5)/dx = 0so3cos3y (dy/dx) - 6y*e^(-2x) + 3(dy/dx) e^(-2x) + 4x = 0rearrange the equationdy/dx = (6y e^(-2x)-4x)/(3...
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Answered by Zhaohui Z. • Maths tutor
6149 Views