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A curve is defined by the parametric equations x = 3 - 4t, and y = 1 + 2/t. Find dy/dx in terms of t.

At first glance, this looks quite tricky, as usually when we are asked to find dy/dx, we have one equation, but here we have 2.So in this case, we need to use the statement that dy/dx = (dy/dt) * (dt/dx)Then...
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Answered by Wesley M. Maths tutor
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What is the integral of (6x^2 + 2/x^2 + 5) with respect to x?

When we think of integration, we should be thinking of the same method every time; adding one to the power, and then dividing by that new power.The integral of the sum of each of these terms is equal to the ...
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Answered by Wesley M. Maths tutor
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How do you integrate (sinx)^2?

(sinx)^2 (similarly to (cosx)^2) cannot be integrated in this form. There is a standard method to get past this though, which makes use of the cos double angle formula:cos(2x) = (cosx)^2 - (sinx)^2 = 1 - (si...
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Answered by Will W. Maths tutor
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What is the method for factorising the expression 'x^2 + 3x + 2'?

First look at the constant coefficient, which in this case is 2. You need two numbers which will multiply together to make this number. The only pairs of numbers that will make 2, are (1 and 2) or (-1 and -2...
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Answered by Will W. Maths tutor
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Factorise 4xy-6xz

Method First Look for a term (i.e x , y, z) which is in all the compoents Also look if there is a possible common factor that the compoents share Soloution ​x is a shared term , and 2 is a common multiple Th...
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Answered by Cameron T. Maths tutor
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