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The problem of suffering is the apparent discrepancy between the existence of God on the one hand, and the occurence of suffering in the world on the other. The problem results from the fact that traditional...

Firstly, you need factorise.a = 3 b = 13 c = 14Find 2 numbers which add to make b(13) and multiply to make ac(42). These numbers are 6 and 7You can now split up the x coefficient to: 3x^2 + 6x + 7x + 14. You...

Overall, the first ionisation energies will increase. This is because as you go along the period, the atomic number increases and this causes a stronger electrostatic attraction between the outer electrons a...

To factorise an expression such as x 2 - 8x + 15, you need to look for two numbers that add up to make -8 and multiply to give 15. The only option in this case is -5 and -3 (-5)+(-3)=-8and (-5)x(-3)=15as two...

Split into partial fractions: (3x +2) / (x 2 - 5x +6) = A / (x-3) + B / (x-2) => 3x + 2 = A(x-2) + B(x-3) let x = 2: 8 = -B => B = -8 let x = 3: 11 = A => A = 11 Now we can integrate f(x) = 11 / (x-...