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Maths
A Level

Use the double angle formulae and the identity cos(A+B)≡cos(A)cos(B)−sin(A)sin(B) to obtain an expression for cos 3x in terms of cos x only

To answer, you need to know and be able to use your trigonometric formulae including the double angle formulae on data sheet.

1: cos(3x)=cos(2x+x) = cos(2x)cos(x) - sin(2x)sin(x)        split the 3...

Answered by Sam H. Maths tutor
14857 Views

how do I differentiate?

look at the power of term and multiply the coefficient of that term by the value of the power, then reduce the value of the terms power by 1. for example after differentiation 5Xbecomes 20X

Answered by Stefen L. Maths tutor
2687 Views

y = (x^2)sin(3x). Find dy/dx

We need to differentiate x2sin(3x). We know how to differentiate (x2) on its own, and how to differentiate sin(3x) on its own. So we can use the Product rule:

dy/dx = (d/dx(x<...

Answered by Robert D. Maths tutor
17372 Views

differentiate x^2 + y^3 + xy respect to x

2x + 3y2 * dy/dx + x * dy/dx +y 

Answered by Xianming J. Maths tutor
3008 Views

dx/dt=-5x/2 t>=0 when x=60 t=0

dx/dt=-5x/2 Int(x, dx)=Int(-5/2, dt) ln(x)=-5t/2+c x=60 when t=0 ln(60)=c ln(x)=ln(60)-5t/2 x=eln(60)-5t/2 x=60/e5t/2

Answered by Felix D. Maths tutor
4394 Views

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