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dy/dx = 9x⁸ + 6x - x^-2

This is a simultaneous equations question. In this situation the equations can be multiplied to create a common coefficient: 3x+y=11 therefore 6x+2y=22You can then add the equations together: 6x+2y=22 plu...

The gradient of segment AB is given by the change in x, over the change in y.m = dy/dx = (y2 -y1)/(x2-x1)y2 = 1y1 = 3x2 = -1x1 = -3m = (-1 - 3)/(-1 -(-3)) = -4/2 = -2Gradient is -2.

Draw the rectangle and put on the measurements Draw on the diagonal Find the right angled triangle Pythagoras tells us a²+b²=c² where c is the longest side which is what w...

Answer: a(5-3a)Explanation: We take the highest common factor of both of the terms, which is a and we put it outside of the bracket. Then, in the bracket we put two terms that when multiplied by a, the pr...