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First of all, "second derivative", d 2 y/dx 2 , is what you get when you differentiate the first derivative (dy/dx). The second derivative can be used as an easier way of determining the stationary...

Advantages: -> Repeatable - the same design can be achieved every time with very good accuracy. -> Economic - hundreds of copies of the design can be produced before the machinery needs to be maintaine...

Remember that to calculate resistances in parallel, the formula we use is: 1/R t = 1/R 1 + 1/R 2 etc. So that gives us: 1/R t = 1/300 + 1/250 = 0.0073 To find the total resistance we just take the reciprocal...

To work out averages we add up all of the ages and divide by the number of people in the group. So that means in the first group, before the new person joined in, all the ages added up and divided by 6 equal...

Remember the rules for differentiation? We take each term which looks like ax n where a and n are just numbers and we turn it into: (an)x n-1 So for this example, we go term by term and get: f'(x) = 6x 2 + 5...