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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)...

This question requires knowledge of the rules of indices. The first rule we need to use is that when multiplying indices with the same base (which in this case is x), the indices are added. Therefore the exp...

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...