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35. A hallway of width a = 5 ft meets a hallway of width b = 4 ft at a right angle. Find the length of the longest ladder that could be carried around the corner. (Hint: Express the length of the ladder as a function of the angle 0 in the figure.) а 36. In exercise 35, show that the maximum ladder length for general a and b equals (a²/3 + b2/3)3/2.

35. A hallway of width a = 5 ft meets a hallway of width b = 4 ft at a right angle. Find the length of the longest ladder that could be carried around the corner. (Hint: Express the length of the ladder as a function of the angle 0 in the figure.) а 36. In exercise 35, show that the maximum ladder length for general a and b equals (a²/3 + b2/3)3/2.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The lecture is about optimization . This is calculus 1
35. A hallway of width a = 5 ft meets a hallway of width b = 4 ft at a right angle. Find the length of the longest ladder that could be carried around the corner. (Hint: Express the length of the ladder as a function of the angle 0 in the figure.) a 36. In exercise 35, show that the maximum ladder length for general a and b equals (a²/3 + b²/3)3/2.
Transcribed Image Text:35. A hallway of width a = 5 ft meets a hallway of width b = 4 ft at a right angle. Find the length of the longest ladder that could be carried around the corner. (Hint: Express the length of the ladder as a function of the angle 0 in the figure.) a 36. In exercise 35, show that the maximum ladder length for general a and b equals (a²/3 + b²/3)3/2.
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