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To integrate any term, add one to the power of x and divide the co-efficient (amount of x) by the new power, so x n becomes x (n+1) /(n+1). Using this, 3x 2 becomes 1x 3 , -6x becomes -3x 2 , and 5 becomes 5...

In order to solve this question we need to remove one variable, either X or Y. Let us remove X in this case. The coefficents of X are 2 and 3. Their lowest common multiplte is 6. We can therefore get both va...

This question may seem difficult but we just have to remember the rules of parametric differentiation and the chain rule. The chain rules states that dy/dx=dy/dz*dz/dx where z is a third variable. Parametric...

These kinds of questions often come up in GCSE papers and involve algebraic manipulation. The key to answering these questions is finding a common factor in the numerator and denominator that can be cancelle...

To answer this question, we must use our knowledge of integration and differentiation. First, we look at the information given to us. We have been told that the gradient of the curve is given by dy/dx=(4x-5)...