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Aim: Our answer should be written in the form 2^a+bx where a and b are constants that we are trying to find.
Firstly, we can write 16 in terms of a power of 2: 16 = 4^{2 ...}

1: Understand what is meant by "solve the following equation... " Ans: We are required to isolate x and find its value 2: Treat the equal sign as a magic bridge that reverses operation. 3: Start...

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.