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) = 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 ) = feet

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.

LADDER
12 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.
[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 .
L(0)
[B] Now, find the derivative, L'(0).
Type theta for 0.
L' (θ) -
[C] Once you find the value of 0 that makes L'(8) = 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 ) =
feet
Transcribed Image Text:LADDER 12 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. [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 . L(0) [B] Now, find the derivative, L'(0). Type theta for 0. L' (θ) - [C] Once you find the value of 0 that makes L'(8) = 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 ) = feet
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