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This question makes good use of the trigonometric identities tan 2 x + 1 = sec 2 x and 1 + cot 2 x = cosec 2 x which can be easily recited in the exam by using the identity sin 2 x + cos 2 x = 1 and then div...

There are two approaches to this problem. Firstly, you could rearrange the equation so that you have the general equation of a line, y=mx+c, where m is the gradient that you are looking for! When we rearrang...

The number of bacteria on Agar plate A is given by the equation n=400(2^d), where d is equal to the number of cellular divisons each cell has undergone. If the cells divides every 2 minutes, how many seconds...

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)...

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...