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...
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A fence 12 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram.
![A fence 12 feet tall runs parallel to a tall building at a distance of 4 ft from the building as
shown in the diagram.
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 0.
L(0)
[B] Now, find the derivative, L'(0).
Type theta for 0.
L'(0)
:0, substitute that into your original
[C] Once you find the value of 0 that makes L'(0)
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%2F7f1cb33a-5c09-4b39-b542-98ea2d958adc%2F12011999-ff05-4743-ae47-f97422c972d8%2F1004oa4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A fence 12 feet tall runs parallel to a tall building at a distance of 4 ft from the building as
shown in the diagram.
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 0.
L(0)
[B] Now, find the derivative, L'(0).
Type theta for 0.
L'(0)
:0, substitute that into your original
[C] Once you find the value of 0 that makes L'(0)
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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