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A fence 20 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram. LADDER 20 ft 4 ft

A fence 20 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram. LADDER 20 ft 4 ft

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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A fence 20 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram. LADDER 20 ft 4 ft We wish to find the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. [AJ First, find a formula for the length of the ladder in terms of 0. (Hint: split the ladder into 2 parts.) Type theta for 0. L(0) = [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) [C] Once you find the value of 0 that makes L'(0) the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) 0, substitute that into your original function to find feet L(0min ) =
Transcribed Image Text:A fence 20 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram. LADDER 20 ft 4 ft We wish to find the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. [AJ First, find a formula for the length of the ladder in terms of 0. (Hint: split the ladder into 2 parts.) Type theta for 0. L(0) = [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) [C] Once you find the value of 0 that makes L'(0) the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) 0, substitute that into your original function to find feet L(0min ) =
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