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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...
DW
Answered by David W. • Maths tutor
5212 Views

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...
JR
Answered by Jethro R. • Maths tutor
4219 Views

Expand and simplify 3(x-2) -2(x+2)

Notice that the questions specifies that you should expand and simplify. This means expanding the equations is a good idea. To expand the equation, we will start by expanding each brackets. 3(x-2)-2(x+2) =3x...
PP
Answered by Phrances P. • Maths tutor
8249 Views

Find an equation of the line which passes through the point (4,-7) and has slope 3.

To find the answer to this, we can use the point-slope form. To do this: y - (-7) = 3 (x - 4) Simplified: y + 7 = 3x - 12 : y = 3x - 19
TR
Answered by Tierney R. • Maths tutor
8876 Views

Solve the simultaneous equation 6y+3x=24, 4y+5x=28

30y+15x=120 12y+15x=84 18y=36 y=2 4(2)+5x=28 8+5x=28 5x=20 x=4
JB
Answered by Jake B. • Maths tutor
3822 Views