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Solve the following simultaneous equations. x^2+y^2=25. y-3x=13

The key to solving simultaneous equations is trying to reduce them into one equation. You can see that one of these equations is quadratic, so you should be thinking there will be 2 answers for x and y. You ...
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Answered by Ben W. • Maths tutor
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Solve these two simultaneous equations.

eq.1 4x+3y=7eq.2 3x+7y=16 You want to eliminate one of the variables (either x or y) reducing the problem to just one equation with one variable which can be solved. This can be done by multiplying each equa...
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Answered by Tobias H. • Maths tutor
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Integrate xsin(2x) by dx between the limits 0 and pi/2.

First it is important to identify that this is an integration by parts question as it can't be solved by substitution. Let I = integral for ease of notation.Write out integration by parts formula I(u)dv= uv ...
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Answered by Benedict A. • Maths tutor
8550 Views

Integrate 3t^2 + 7t with respect to t, between 1 and three.

To integrate you add one to the power and divide by the new power, so this becomes:3t 3 /3 + 7t 2 /2 simplifying to t 3 + 7/2 t 2 If we were just performing indefinite integration you would need to remember ...
JM
Answered by Josh M. • Maths tutor
4005 Views

Integrate (lnx)/x^2 dx between limits 1 and 5

Let I = integral[(lnx)/x^2 dx] for simplicity.Firstly, we realise we must use integration by parts. This is:Integral [u(x)v'(x) dx] = u(x)v(x) - Integral[u'(x)v(x) dx]So we can see that, by letting u(x)=lnx ...
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Answered by Jimmy L. • Maths tutor
4257 Views