LADDER 12 fi 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. [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) = [B] Now, find the derivative, L'(0). Type theta for 0. = (6).T [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.)

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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LADDER
12 ft
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.
[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(8) =
[B] Now, find the derivative, L'(0).
Type theta for 0.
L'(0) =
[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.)
Transcribed Image Text:LADDER 12 ft 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. [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(8) = [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) = [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.)
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