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Let’s say we’re given the equation y=(2x-6)^4we would know how to differentiate x^4, therefore we can take the substitution u=2x-6 to give us the equation y=u^4we then differentiate this equation (dy/du) ...

a) At A y=0, therefore if we solve: 0= (1/x)+1 we get x=-1.b)First step when drawing graphs is to find roots. x=0, x=2. Because x=0 acts as two of roots the graph only touches x=0. The graph is a positive...

INT{2x⁵ + (1/4)x^-3 -5} = (2/6)x⁶ + (1/8)x^-2 -5x + c =(1/3)x⁶ + (1/8)x^-2 -5x + c

You are given the equation of a line in the form of y=mx+c. From this, you know that 'm' represents the gradient, which can also be represented as dy/dx. We now need to work out the gradient of the normal...

The formula to find the cosine of the angle is: cosA= u.v/|u|x|v|; 1.u.v means that you multiply the x coordinates together, then the y coordinates and the z coordinates,...