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Solve the following pair of simultaneous equations: 1. 3x + 2y = 9 2. 6x + 5y = 21

We can solve this pair of simultaneous equations using substitution. To do this, we firstly have to rearrange one equation to get one variable on its own. For example, we can subtract 2y from each side of...

MC
Answered by Mark C. Maths tutor
3959 Views

How would you differentiate 3x^4 - 2x^2 + 9x - 1

First we follow the "times by the power and take one from the power" rule. This is the easiest way to remember how to differentiate anything. 

So (3x4)x(4-1) -(2x2)x(2-1)<...

CE
Answered by Cathy E. Maths tutor
3262 Views

If m=a^x, n=a^y, and a^2 =(m^y n^x)^z Show xyz=1.

If m=ax n=ay and a2 =(my nx)z Show xyz=1.        

    The above question is an indices question from an AS textbook. This is questi...

JJ
Answered by Joshny J. Maths tutor
16777 Views

Integrate the following expression with respect to x by parts: (2*x)*sin(x)

The integration by parts formula: S:udv/dx = uv -  S:v*du/dx, where S: means "Integral of with respect to x" 

Let 2*x be u and sin(x) be dv/dx

So du/dx =2 and v= -cos(x)

DP
Answered by David P. Maths tutor
3215 Views

(8/125)^(-2/3)

Denominator of the power expression indicates the degree of the root in this case its the cubic root. Numeriator denotes the degree of power in this case squared. The negative sign means to inverse the ba...

AD
Answered by Andrew D. Maths tutor
8454 Views

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