Quiz-03-TakeHome-Keys - Name Quiz 3 Keys 1 What is the...

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Name: _______________________________ Quiz 3 – Keys 1. What is the length of the curve defined by 3/2 y x = from 0 x = to 5 x = . Be sure to completely integrate for the length and provide a numerical answer. This problem should not be difficult. 1/2 3/2 3 2 dy x y x dx = = Just use the length integral: 5 0 9 1 4 x L dx = + and you better know how to finish the integration! 2. What is the length of the curve defined by ln(sec ) y x = from 0 x = to 4 x π = . Be sure to completely integrate for the length and provide a numerical answer. This problem would give everyone a quick refresher on basic trig identities and trig integrals. We will again meet them soon! sec tan ln(sec ) tan sec dy x x y x x dx x = = /4 2 0 1 tan L x dx π = + If you remember the identity: 2 2 sec 1 tan x x = + you can use it to finish the integration.
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