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Find the integral of (2(3x+2))/(3x^2+4x+9).

Start by expanding out the bracket on the top of the fraction to get (6x+4)/(3x²+4x+9). Then using the trick of identifying that the fraction is in the form [g(x)]/[f(x)] where f’(x)=g(x), the ...

Answered by Elise N. • Maths tutor

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(i) Find the gradient of the straight line passing through the points: (0,3) and (9,21). (ii) Write down the equation of the line in form y = mx + c

(i) To find the gradient of a straight light, we take any two (different) points on the straight line and compute the change in Y divided by the change in X. So here this is; (21-3)/(9-0) = 18/9 = 2. So t...

Answered by Charlie G. • Maths tutor

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Factorise completely x − 4 x^3

= x(1-4x^2)From difference of two squares method,= x(1-2x)(1+2x)

Answered by Christopher T. • Maths tutor

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Solve the simultaneous equations; 2x + y = 18; x + 3y = 19.

Start by selecting a variable to eliminate from the equations. --> Select x in this case.Take the second equation and multiply by 2. --> 2x + 6y = 38Subtract the first equation from this answer. --&...

Answered by Mark A. • Maths tutor

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