Tension in parabola at any point T (tangent)

ElectronicTeaCup

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I am unsure how to go about this. I tried following the suggestion blindly and end up with with some cubersome terms that are not the answer. From what I understand the derivative at each point would equal to T?
 

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I am unsure how to go about this. I tried following the suggestion blindly and end up with with some cubersome terms that are not the answer. From what I understand the derivative at each point would equal to T?
What is the topic of this class that gave you this assignment? Is it a mathematics or physics or mechanics class?
 
What is the topic of this class that gave you this assignment? Is it a mathematics or physics or mechanics class?

Hi, this from an introductory calculus book. The aim of this tangent (haha) was to describe the physical example of a parabola, and so the author briefly explained the concept being applied on a bridge, which tension T being formulated by (15) and (16) where [MATH]tan \theta = y' [/MATH]
 
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