1. The problem statement, all variables and given/known data Consider g(ξ) = [(2H)/π] arctan(ξ). Plot a graph of the function g(ξ). Imagine a line that passes through the point on the curve at ξ0 = 1.30, and which is tangent to the curve at that point. Where does the tangent line intersect the vertical axis? [DATA: H = 2.00 ; ξ0 = 1.30 .] 2. Relevant equations y=mx+b 3. The attempt at a solution Firstly I know that H=2 so I can easily simplify the question to (4/π)*arctan(ξ). I then want to find the slope so I take the derivative of that function and get 4/(πξ^2+π) then plug in ξ=1.3 to find the slope at that point. The result is: 0.473323 I can also plug ξ=1.3 in to the original equation to find the y value at that point. The result is: 1.16514 Plugging in those values to y=mx+b I get 1.16514=(.473323)(1.3)+b. The resulting y-intercept (b) is 1.89. Unfortunately, this is not correct! I am obviously making a silly mistake somewhere. Is anyone able to point out what I did wrong? Thank you!