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In order for two lines to be parallel, they need to have the same gradient (m). The gradient (m) is the coefficient of x in the line equation y=mx+c. Therefore, the gradient of L1 is 3 since 3 is the coef...

Factorisation question: Simplify equation as each function is divisible by 2 then factorise to find roots, roots must = x value when added roots must = constant when multiplied

Differentiating is a process which you can apply to a function which lets you find the gradient (or slope) the function.

The first part of the question is actually a "show that" the equation in the question can be rearranged to the form 10 cot^(x) + 11 cot(x) - 6 = 0. To do this add 11 cot (x) and subtract 16 to/f...

3x(squared)-7= 101first we move the 7 across but when we move across an = sign we do the opposite so 101+7now our equation is 3x(squared)=108
now we need to move the 3 across but to do this we need ...