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Turning point is when dy/dx = 0
if y= x2 + 6x - 7
dy/dx = 2x + 6
at turning point: 2x + 6 = 0
therefore: 2x = - 6
x coordinate: x = - 3
substitute into...
standard form is a way of writing very large numbers or very small numbers in a condensed form. E.g. 1,600,000,000 can be written as 1.6x10^9
Yes, in order to maximise the amount of marks you obtain you must write down all of your working as often the answer is only worth 1 mark whereas the working out makes up the rest of the marks. Always sho...
In order to calculate this integral we must use the sustitution provided. x=2siny. Firtsly I will differentiate to find the dx component of the integral, so dx/dy=2cosy hence, dx=2cosydy. Now for the limi...
To find potential points of intersection between the line and the circle, we need to solve the equations simultaneously. So, we substitute y = x - 7 into the equation of the circle: (x + 2)2 + ...
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