Multiply each term by (x-2)(x+2). Cancel factors which the numerator and denominator have in common: \frac{x}{x-2}-\frac{1}{x+2}=1 \frac{x}{x-2}\times\frac{(x-2)(x+2)}{1}-\frac{1}{x+2}\times\frac{(x-2)(x+2)}{1}=1\times\frac{(x-2)(x+2)}{1} x(x+2)...
f(x) = 20x - 10\sin(4x) f'(x)=20-40\cos(4x)=0 \cos(4x)=\frac12 4x=\pm\frac{\pi}{3}+2\pi n x=\pm\frac{\pi}{12}+\frac{n\pi}{2} f is increasing on intervals of the form: [\frac{\pi}{12}+\frac{n\pi}{2},-\frac{\pi}{12}+\frac{(n+1)\pi}{2}] f is decreasi...
I am lost when I reach the line in red: (–4) + (5x – x) + (7y – y) simplification (23 – 27 = –4) (–4) + x(5 – 1) + y(7 – 1) Distributive Property Where did that (1) come from, please? Check it by re-distributing the x and y: (-4) + x(5 - 1) + y(7 - 1) (-4) + (x*5 - x*1) + (y*7 - y*1) (-4) + (5x - x...