A fence 15 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the diagram. LADDER 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) 15 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)
A fence 15 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the diagram. LADDER 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) 15 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)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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![A fence 15 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the
diagram.
LADDER
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)
15 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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39eedabc-a5ba-4d6f-aea8-53492a95fc23%2F87e0c28b-1517-4397-9462-ee8af7a97d17%2Ftwi2qck_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A fence 15 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the
diagram.
LADDER
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)
15 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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