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Solve: 3x + 4 = x + 12

In this algebraic problem, we are faced with two unknowns (x's) on both sides of the equation. Remember that what we do to one side, we must also do to the other side. So to tackle this, we will first focus ...
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Answered by Tristan F. Maths tutor
12927 Views

Differentiate the function f(x) = x^2 * e^2x with respect to x

l e t u = x^2 let v = e^2x du/dx = 2x dv/dx = 2e^2x d/dx = v du/dx + u dv/dx = 2x e^2x + 2x^2 e^2x Therefore d/dx = 2x*e^2x * (1 + x)
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Answered by Evan S. Maths tutor
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One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5 There are 36 male teachers at the school. Work out the total number of teachers at the school.

We are told that the probability that a randomly chosen teacher is female is 3/5, or 60%. This means that the overall proportion of female teachers at this school is also 3/5, or 60%. In turn, this means tha...
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Answered by Aleksandar G. Maths tutor
4183 Views

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
3816 Views

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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