A bridge has a main span of about 1400 meters. Each of its towers has a height of about 150 meters. Use these dimensions, the integral below, and the integration capabilities of a graphing utility to approximate the length of the parabolic cable along the main span. Let C represent the length of the cable, h represent the maximum height of the towers, and 2w represent the span of the bridge. (Round your answer to one decimal place.) 4h² x² dx WA C = 2√₁ √ ₁ +

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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A bridge has a main span of about 1400 meters. Each of its towers has a height of about 150 meters. Use these dimensions, the integral below, and the integration
capabilities of a graphing utility to approximate the length of the parabolic cable along the main span. Let C represent the length of the cable, h represent the maximum
height of the towers, and 2w represent the span of the bridge. (Round your answer to one decimal place.)
4h2
+²
WA
W
- 26" √ ₁
C =
1 +
dx
Transcribed Image Text:A bridge has a main span of about 1400 meters. Each of its towers has a height of about 150 meters. Use these dimensions, the integral below, and the integration capabilities of a graphing utility to approximate the length of the parabolic cable along the main span. Let C represent the length of the cable, h represent the maximum height of the towers, and 2w represent the span of the bridge. (Round your answer to one decimal place.) 4h2 +² WA W - 26" √ ₁ C = 1 + dx
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