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Maths
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Solve the inequality 2x - 10 < 6 - 2x

First, we can temporarily make this an equation rather than an inequality to make it easier to solve. We replace the “<” with an equals sign “=”. The inequality now becomes an equality: 2x - 10 = 6 - 2...

CW
Answered by Charlotte W. Maths tutor
7997 Views

The line AB has equation 3x + 5y = 7 (a. Find the gradient of AB)

This is an easy one as long as you remember the important equation y = mx + c. I can't express how important it is for you to learn that equation.

Step one: find y. Do this by taking 3x away from b...

PW
Answered by Penny W. Maths tutor
4823 Views

Three positive whole numbers have a mean of 6. What is the greatest possible range of the three numbers?

The mean is the total of the numbers divided by how many numbers there are. So to find the mean of six, we need to add three numbers together, divide those three numbers by three and get six. This sounds ...

PW
Answered by Penny W. Maths tutor
17094 Views

How do you find the gradient of a curve?

Unlike a straight line, the gradient of a curve is not a constant i.e. not one single number. To find the gradient of a curve, you different the equation of the curve. To find the gradient at a specific p...

AM
Answered by Anna M. Maths tutor
40928 Views

Use integration by parts to find the integral of sin(x)*exp(x)

First, we choose u=sin(x),v'=exp(x). Using differentiation and integration of standard exponential and trigonometric functions => u'=cos(x),v=exp(x). From this we use the formula for integration by par...

PL
Answered by Philip L. Maths tutor
6956 Views

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