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...
Related questions
Question
![A fence 10 feet tall runs parallel to a tall building at a
distance of 2 ft from the building as shown in the diagram.
LADDER
10 ft
2 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) =
%3D
[B] Now, find the derivative, L'(0).
Type theta for 0.
= (e).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.)
L(0 min ) =
feet](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79dba1b3-560e-401a-b7af-d96cd9de28af%2Ff9ee8fb9-b819-4c8f-b8b6-c3d82d2d0530%2Fgrwcuom_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A fence 10 feet tall runs parallel to a tall building at a
distance of 2 ft from the building as shown in the diagram.
LADDER
10 ft
2 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) =
%3D
[B] Now, find the derivative, L'(0).
Type theta for 0.
= (e).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.)
L(0 min ) =
feet
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