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Solve: 7x - 20 = 3x + 4

7x = 3x + 24 4x = 24 x = 24 / 4 x = 6
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Answered by Alex G. • Maths tutor
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Find the integral between 1 and -2 for (4-x^2-3x^3)

= [4x - 1/3x 3 - 3/4x 4 ] 1 -2 = (4(1) - 1/3(1) 3 - 3/4(1) 4 ) - (4(-2) - 1/3(-2) 3 - 3/4(-2) 4 ) =(2 11/12) - (-8 + 8/3 - 12) =(2 11/12) - (-17 1/3) = 20 1 /4
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Answered by Alex G. • Maths tutor
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(x + 2)(x + 3)(x + 6)

First: (x + 2)(x + 3) = x 2 + 5x + 6 Second: (x 2 + 5x + 6)(x + 6) = x 3 + 5x 2 + 6x + 6x 2 + 30x + 36 = x 3 + 11x 2 + 36x +36 Answer: = x 3 + 11x 2 + 36x +36
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Answered by Urma C. • Maths tutor
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Integrate xcos(x) with respect to x

In order to do this question one has to first recognise that this is a product and thus has to be solved using Integration by parts. Firstly write out the formula: ∫u.dv/dx dx = uv - ∫v. du/dx dx (this is al...
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Answered by David W. • Maths tutor
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2x + y = 12. P = xy^2. Show that P = 4x^3 - 48x^2 + 144x

We want to make P = xy^2 into something more complicated, which only has Xs, and no Ys. Firstly, you need to remember that when there are two equations, the question will almost definitely involve substituti...
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Answered by Jethro R. • Maths tutor
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