Below is the graph of y=In(cos(z)) for 0 -0.05 -0.10 -0.15 -0.20 -0.25 -0.30 -0.35 We...

 

Transcribed Image Text:

Below is the graph of y=In(cos(z)) for 0 -0.05 -0.10 -0.15 -0.20 -0.25 -0.30 -0.35 We will use the formula L= First, find and simplify -S. dy dr + dx -tan(x)o dz. What is its arc length? Use the identity 1 + tan(x) = sec(z) to simplify the integral so you have: sec(x) dx It's still a tricky integral! Here's a strange subtitution: Let u= sec(z) + tan(z). Then du = dx Part 2 of 5 Part 3 of 5 Below is the graph of y=In(cos(z)) for 0 -0.05 -0.10 -0.15 -0.20 -0.25 -0.30 -0.35 We will use the formula L= First, find and simplify -S. dy dr + dx -tan(x)o dz. What is its arc length? Use the identity 1 + tan(x) = sec(z) to simplify the integral so you have: sec(x) dx It's still a tricky integral! Here's a strange subtitution: Let u= sec(z) + tan(z). Then du = dx Part 2 of 5 Part 3 of 5