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1. Suppose a new theater being designed has a base which can be described as the region 25. The cross-sections perpendicular to the y-axis will be rectangles whose height is 5 units higher than the width of its base. bounded by y = 4x² and y = (a) Find an exact value A so that the line y = A divides the floor into two equal areas.

1. Suppose a new theater being designed has a base which can be described as the region 25. The cross-sections perpendicular to the y-axis will be rectangles whose height is 5 units higher than the width of its base. bounded by y = 4x² and y = (a) Find an exact value A so that the line y = A divides the floor into two equal areas.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Suppose a new theater being designed has a base which can be described as the region bounded by y = 4x² and y = 25. The cross-sections perpendicular to the y-axis will be rectangles whose height is 5 units higher than the width of its base. (a) Find an exact value A so that the line y = A divides the floor into two equal areas. (b) Find the (approximate) percentage of the volume of the theater which is in the region y2 A. Give your answer to two decimal places.
Transcribed Image Text:1. Suppose a new theater being designed has a base which can be described as the region bounded by y = 4x² and y = 25. The cross-sections perpendicular to the y-axis will be rectangles whose height is 5 units higher than the width of its base. (a) Find an exact value A so that the line y = A divides the floor into two equal areas. (b) Find the (approximate) percentage of the volume of the theater which is in the region y2 A. Give your answer to two decimal places.
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