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To solve, first create a common factor for b by multiplying the 1st equation by 2 to get: 12a+2b=22.Now, add the two equations together to get: (12a+5a) + (2b-2b) = (22+19)which is 17a=41 , when simplifie...

The key point in this question is noting that implicit differentiation is a very useful tool, although it is slightly different and looks much scarier than differentiating y = f(x).To do the question, a m...

912 = 4(x+2)(x+9)228 = (x+2)(x+9)228 = x² + 11x + 180 = x² + 11x -210using the quadratic formula we obtain x = -10 or x = 21As dimensions must be positive; x must equal 21Hence; the ...

According to first principles, the differential is found as the limit as h->0 of:[f(x+h)-f(x)] / hif we set our f to x^2, then we find that this expression becomes (x^2+2hx+h^2 - x^2)/hWhich simplifies...

Stationary points are points on a curve where the gradient is zero. There are three types of stationary point maximum, minimum and point of inflexion. (will draw diagrams). They can be found by differenti...