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We first see that we are asked to solve the equation in terms of y. We can see that y = 2^x, and there is also a 2^x in the equation, meaning we can instantly change that to y. However, there is also a 4^...

1 find the domain of the function (where it exist) 2 find the solutions of the function, solve f(x)=0 3 if it has vertical asyntotes (poles) identify them (eg the denomitator=0) 4 find the intesections wi...

The gradient is the rate of change at a specific point on the curve. Since the tangent is a straight line that touches the curve only once at a specific point, the gradient of the curve and the tangent wi...

When integrating by substitution the first thing to do is change the limits of the integral by subbing them into the equation for u. This gives

u = 5 as the lower limit and

u = 2 for the upp...

Integration is a simple way of "quickly" adding. In cases where you have a curve under a graph for example a velocity-time graph, the area under the curve will give you the distance. If you know...