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First we need to find the derivative of the curve:dy/dx = 8 - 4X.We can then find the X coordinate by setting this equal to zero: 0 = 8 - 4X, X = 2.Plugging this back into the original equation gives us t...
We can see that the quadratic function will be U-shaped, as the quadratic term is with a positive sign. Therefore, the absolute extreme of the function will be a minimum. Step 1: Differentiate to find the...
Rationalising surds is the process of removing a square root from the bottom of a fraction. The way we do it is by using a little trick involving the difference of two squares.The difference of two square...
Firstly draw a free body diagram of the ladder, showing its weight and the contact forces at either end. We'll call end A the top end and end B the bottom end. The next thing to do is to e...
From the binomial theorem we know that the x^3 term in the expansion of the above expression must satisfy, 4C3 * (3x)^3 * a = 216x^3. Hence, after multiplying out we must have, 108a * x^...
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