html courseld ! httpswww homeworkd 4771652 Bflushed UNIFIED CALCULUS I- SPRING 2

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html courseld ! httpswww homeworkd 4771652 Bflushed UNIFIED CALCULUS I- SPRING 2018 ibrahina Diado 1 3r10/18 8:54 PM Homework: section 24.1 Score: 0 of 1 pt 24.1.25 100M 12 (6 complete) HW Score: 36 11%, 4 33 of 12 p A certain suspesion cable with supports on the same level is closely approximabed as being parabolic in shape If the supports are 500 t apart and the sag at the center is 50 ft, what is the equation of the line along which the tension acts (tangentially) at the right support?(Choose the origin of the coordinale system at the lowest point of the cable First, what is the equation that describes the suspension cable Type an equation using x and y as the varlables) Enter your answer in the answer box and then click Check nswer Clear All DOLL

Explanation / Answer

Answer to the question is as follows:

24.1.27

dy/dx = ?

y = sqrt(3x^2 + 96)

Differentiating, we get:

dy/dx = (1/(2*sqrt(3x^2 + 96)* d/dx(3x^2 + 96)

dy/dx = (6x)/2*sqrt(3x^2 + 96) = 3x/sqrt(3x^2+96)

Hence, the answer to the dy/dx is 3x/sqrt(3x^2+96)

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