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y(x+y)=3,yx +y² =3,Differentiating with respect to x,y+x(dy/dx) +2y(dy/dx)=0when y=1, x=3-1=2 (from original equation)1+2(dy/dx) +2(dy/dx)=0,dy/dx=-1/4

As we are working with an inequality we have to pay attention every time to the symbol, in this case less <, that rules the inequality. The first step to solve it, it is the expansion of the LHS, so we...

This question makes use of the sin addition formula. It may be stated as sin (A + B) = sinA cosB + sinB cosA . We want to rewrite 2 cosx + 4 sinx in the form R sin (x + a), so firstly work out what R sin(...

Firstly it is important to read the whole question to make sure the all the information you have been given is understood. As we know there are 50 bungalows we can use the ratio of flats to bungalows to f...

For this type of question, we always simply take the term outside the bracket and multiply it with the terms inside the bracket sequentially. So, first we evaluate 4x * x, which gives us 4x². N...