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Maths
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Solve 2(x+4)=4x-6 for x

The first thing to do is to multiply out the brackets. You treat each side of the equation separately. You do this by multiplying each value in the bracket by the number outside the bracket.2x + 2

JL
Answered by Jasmine L. • Maths tutor
3450 Views

Integrate lnx

This requires your knowledge of integration by parts. The trick here is that lnx can also be written as lnx*1 (as any term multiplied by 1 is itself). We set u=lnx and dv/dx equal to 1. Hence from this we...

AO
Answered by Anthony O. • Maths tutor
3591 Views

Expand and simplify (x-3)(2x+4y)^2

The first step is to expand the (2x+4y)^2 bracket. Start by writing out (2x+4y)(2x+4y) and multiply out. A simple way to do this is by using the 'foil' method - multiply the 'first' terms in each bracket,...

EM
Answered by Ella M. • Maths tutor
3998 Views

A triangular prism has mass 900g, length 20cm and the triangle bases are equilateral and with side length 6cm. Find the density(g/cm^3) of the material the prism is made of.

Answer:Density is mass/volume .: mass must be identified and volume calculated.Volume of triangular prism is calculated as prism lengtharea of triangle.As triangles are equilateral and of side length ...

OW
Answered by Oliver W. • Maths tutor
4044 Views

Using the Quotient rule, Find dy/dx given that y = sec(x)

d[sec(x)]/dx -->d[1/cos(x)] -->( [d[1].cos(x) - d[cos(x)].1] ) / [cos(x)]^2 -->[0.cos(x) - -sin(x).1]/ [cos(x)]^2 -->sin(x)/[cos(x)]^2 -->tan(x)sec(x) <-- Final Answer

RK
Answered by Rakib K. • Maths tutor
4320 Views

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