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First we make y the subject of the l1 equation. This is so we can have it in the form y=mx +c where m is the gradient and c is your y-intercept. For this example we would take away 2x from both sides leav...

First we need to consider what a straight line looks like:
y = mx + c (if we get something different we've gone wrong somewhere)one way to get the equation is using a point (general point is (x_1...

First, we must find the value of x that corresponds to the stationary point, i.e. where the gradient (dy/dx) is zero. This will be in terms of 'a' (if we change 'a,' we change the shape of the function by...

First draw out the free body diagram for the problem, marking on all forces acting on the objects ie. the mass of the block and the reaction force normal to the plane and the forces acting due to friction...

Setting (1 + kx)ⁿ equal to 1 - 6x + 30x² + ..., the binomial expansion can be applied to the LHS, by making use of the formula provided in the formula book. In this case, where x app...