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Part a) requires you to find df/dx for the given function. To do this, we differentiate the function once, which is done by multiplying the power of each 'part' with the part itself and subtracting 1 from...

x = 5

To expand this we multiply the first term in each bracket together to get x² Then we do the first bracket's first term by the second bracket's second term to get -5x The we do the first bracke...

These equations are what we call 'simultaneous' which means they are solved together. To do this, we need to make one of the variables (x or y) the subject of either of the equations.Rearranging the first...

ax² + bx + c
1) First factorise the quadratic equationTwo numbers whose product is 'c' and sum is 'b'In this question, c= 6 and b= 76 x 1 = 6 and 6 + 1 = 7So your two numbers are 6 and 1--...