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First of all we are asked to differentiate the function. This can be easily done by multiplying the coefficient of x by its exponent, and then decreasing the exponent by one. Therefore, dy/dx=3x^2+4x We a...

Here you are being asked to differentiate. When differentiating, you times the value of x by its power and then subtract 1 from the power. So for this question you times 6x^(1/2) by 1/2 and then subtract ...

Using cosine rule a.b = |a||b|cos(theta) and the example vectors a = (1,2,3) and b = (3,2,1),First explain why the cosine rule exists, use a geometric proof of the cosine rule. Show the magintude of a=b=r...

For example show that x + 3 is a factor of p(x) = x³ - 5x² - 8x + 48

We need to show that when x = -3, p(x) = 0. If this is the case then x + 3 is a factor of p(x)

putt...

(This is something that I didnt fully understand for quite a while at school.) So when we are solving x²=25, in order to get x "on it's own" we square root both sides. However the def...