Expert: Richard J. Raridon - 10/19/2009

Question
I just don't know where to start on these questions just some advanced questions that I didn't have to do but I want to know how to solve cause they might be on a test. Please reply as soon as you can. Hopefully you can find the answers Thanks a lot.

1)Find a number δ such that if | x - 2 | < δ, then | 2x - 4 | < ε, where ε = 0.1. (Round all answers to four decimal places.)


(b) Repeat part (a) with ε = 0.01

2)How do you find the inverse of y= 1 + x^2 + tan((pi/2)*x))

3)Find all real solutions to an equation how do i do this? Whats real solutions if its like x+5/x-2 = 9/x+2 + 28/x^2-4

Thanks so much really appreciate it.


Answer
1) that's dishonest to include four decimal places when the information is only given to one decimal place.  I would say that delta = 0.05
2) delta = 0.005
3) multiply each term by (x^2-4) to get (x+5)(x+2) = 9(x-2) +28.
simplify that to x^2-2x = 0 so x = 0,2