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A cable hangs between two poles 6 yards apart. The cable forms a catenary that can be modeled by the equation y=6cosh(x6)-5 between x=-3 and x=3.
Find the area under the catenary.
Area ≈ yards2
Round your answer to four decimal places.
Consider the general form of a catenary curve and how it relates to the given equation. To find the area, you'll need to set up a definite integral. Think about how to integrate hyperbolic cosine functions and how the constants in the equation will affect your integration process.
Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
7.5189