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(a) Gradient (m) = (y₂-y₁)/(x₂-x₁) = (10-4)/(1-(-2)) = 6/3 = 2

(b) General equation of a straight line: y = mx + c    (c = y-intercept)

For our st...

On first glance, this looks like it is going to be a quadratic equation, so let’s try and put it in the form ax² + bx + c = 0 which we can factorize. If we subtract 6 from each side, we end up ...

The intergral for cosx is sinx, but '2x' must be considered.

When differentiating a sinx/cosx function, the '2x' would be differentiated separately

and placed in the front (multipling). So w...

Area of a rectangle is width times height (3x+1)(2x+5)= 6x²+15x+2x+5            6x²+17x+5 Set formula of area equal to known area value. 6x²+17x+5= 8 6x²+17x-3 ...

A function is simply a process that takes in a number, does a few operations on it (for example, add, multiply etc), and then gives out another number. If you want to figure out the inverse of a function,...