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First rearrange the equation to get 2y = 7x + 11.Then divide through by 2 to get the equation for y: y=7x/2 +11/2Now differentiate with respect to x to find the gradient function: dy/dx=7/2 + 0We hav...

Once you have found the stationary point of the equation by differentiating the equation and equating it to zero. You can then find out if the point you have found is a maximum, minimum or point of inflec...

We know that if we have a polinomial of the form ax^2 + bx + c = 0, then:sum of the roots = -b/a and product of the roots = c/a Therefore: t + (t + 4) = -p/5 and t(t + 4) = q/5 Therefore: 2t + 4 = -p...

For all simultaneous equations it is useful to number each one to keep your working clear and concise. In order to solve this we need to eliminate one of the variables (x or y) by manipulating the equatio...

5x + 3y = 27 (1)6x - 2y = 10 (2)Rearrange (1) to make x the subject.Subtracting - 3y from both sides gives5x = 27 - 3yDivide both sides by 5 givesx = (27 - 3y)/5Substitute (1) into (2) gives6(27 - 3y)/5 -...