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A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the diagram. L(0) Ꮎ = 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. [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) LADDER [A] 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. 6 ft 2 ft feet [C] Once you find the value of that makes L'(0) = 0, substitute that into your original function to find the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) L(0min) ~

A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the diagram. L(0) Ꮎ = 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. [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) LADDER [A] 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. 6 ft 2 ft feet [C] Once you find the value of that makes L'(0) = 0, substitute that into your original function to find the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) L(0min) ~

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the diagram. 0 [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) LADDER 6 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. 2 ft [A] 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) feet [C] Once you find the value of that makes L'(0) = 0, substitute that into your original function to find the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) L(0min) ~
Transcribed Image Text:A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the diagram. 0 [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) LADDER 6 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. 2 ft [A] 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) feet [C] Once you find the value of that makes L'(0) = 0, substitute that into your original function to find the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) L(0min) ~
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