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What is differentiation in mathematics and what does it represent?

Differentiation is the rate of change of one variable with respect to another at a point in time or space. In other words, this can be described as the slope of a curve, which is how much the curve goes up o...
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Answered by Marius B. • Maths tutor
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Solve the simultaneous equations x + y = 1 , x^2 -2xy+y^2=9

So here we want to eliminate one variable so we are only working with either x or y by themself, so to do this we can rearrange the first equation of x+y=1 to x= 1-y. This new equation can therefore be subst...
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Answered by Belinda S. • Maths tutor
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Calculate 44 - (12 - 3^2)^2.

Remember the rule BIDMAS (Brackets, Indicies, Division, Multiplication, Addition, Subtraction) Inside the brackets we have: 12 - 3 2 and again need to remember BIDMAS. The next item to consider is the Indici...
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Answered by Emanuel D. • Maths tutor
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Which of these numbers is the smallest? 0.8, 8.8, 0.88, 88.0, 8.08.

First notice that two numbers have 0 before the decimal point. Conclude to ignore the rest. Then compare the remaining two by adding a zero to the end of 0.8 thus making 0.80. Now compare 0.80 with 0.88 and ...
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Answered by Emanuel D. • Maths tutor
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The line AB has equation 5x + 3y + 3 = 0. The line AB is parallel to the line y = mx + 7. Find the value of m.

Rearrange AB into y = mx + c format: 1) 3y = -3 - 5x 2) y = - 5/3 x - 1 Compare equation with y = mx + c Conclude m = - 5/3 You can also deduce the y-intercept of AB is -1.
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Answered by Emanuel D. • Maths tutor
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