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Improved grapher for parabolic arches (theoretically the best curves for supporting weight). Link in comment.

Improved grapher for parabolic arches (theoretically the best curves for supporting weight). Link in comment.

2022年12月29日

redditSandor_06

SOLVED:Two parabolic arches are being built. The first arch can be modelled by the function y=-x^2 9, with a range of 0 ≤y ≤9 The second arch must span twice the distance and be translated 6 units to the left and 3 units down. a) Sketch the graph of both arches. b) Determine the equation of the second arch.

SOLVED:Two parabolic arches are being built. The first arch can be modelled by the function y=-x^2 9, with a range of 0 ≤y ≤9 The second arch must span twice the distance and be translated 6 units to the left and 3 units down. a) Sketch the graph of both arches. b) Determine the equation of the second arch.

2020年8月7日

SOLVED:Archimedes' area formula for parabolic arches Archimedes (287-212 B.C.), inventor, military engineer, physicist, and the greatest mathematician of classical times in the Western world, discovered that the area under a parabolic arch is two-thirds the base times the height. Sketch the parabolic arch y=h-(4 h / b^2) x^2 -b / 2 ≤x ≤b / 2, assuming that h and b are positive. Then use calculus to find the area of the region enclosed between the arch and the x -axis.

SOLVED:Archimedes' area formula for parabolic arches Archimedes (287-212 B.C.), inventor, military engineer, physicist, and the greatest mathematician of classical times in the Western world, discovered that the area under a parabolic arch is two-thirds the base times the height. Sketch the parabolic arch y=h-(4 h / b^2) x^2 -b / 2 ≤x ≤b / 2, assuming that h and b are positive. Then use calculus to find the area of the region enclosed between the arch and the x -axis.

Group Activity Designing a Bridge Arch Parabolic arches are known to have greater strength than other arches. A bridge with a supporting parabolic arch spans 60 ft with a 30-ft-wide road passing underneath the bridge. In order to have a minimum clearance of 16 ft, what is the maximum clearance? | Numerade

Group Activity Designing a Bridge Arch Parabolic arches are known to have greater strength than other arches. A bridge with a supporting parabolic arch spans 60 ft with a 30-ft-wide road passing underneath the bridge. In order to have a minimum clearance of 16 ft, what is the maximum clearance? | Numerade

2019年11月11日

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The parabolic arch shown in the figure is 50 feet above the water at the center and 200 feet wide at the base. Will a boat that is 30 feet tall clear the arch 30 feet from the center? | Numerade

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