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To solve this differential, firstly note that 2cos(x)sin(x) = sin(2x) (by the Double-Angle Sine Identity), this makes computing the differential a lot easier. To differentiate sin(2x) we need to use the c...

First of all, we need to figure out how to tell whether 2 lines are perpendicular. For any equation written in the form 'y=mx+c', the important bit of information we need to answer this question is the va...

Draw the two equations, indicating the point of intersections (whiteboard).If the lines intersect at x=1, then at that point the y values of each equation are equivalent. Therefore, x+ 4 = 2x + c.Inputtin...

a) Find f ' (x) and f ''(x). f' = 2x² + 2bx + 2f'' = 4x + 2bb) You are given that f(x) has a stationary point at x = 2. Use this information to find b.2x² + 2bx + 2, x=2Stationary po...

First of all, I would ask the tutee if they were familiar with the law of integration. i.e. that you increase the power of the variable (x) by 1, then divide by the new power, and if not then I would clar...