A ladder of length L rests against a vertical wall. The bottom of the ladder is pushed towards the wall at a rate of 2 feet per second. Which related rates equation will determine how fast the ladder moves up the wall when the bottom of the ladder is 4 feet away from the wall? [A] (2)(4)(−2) + 2(√L² – 16). d = 0 at [B] (2) (4) (2) - 2(√L² – 16). = 2L dy dt dy [C] (16)(-2) + (L² −16). d = 2(0²). dt dy dt [E] (2)(16)(-2) + 2(L² - 16) [D] (4)(-2) + (√Ľ² - 16) . = L . dy dt dL dt dL dt = 2(L²). dL dt
A ladder of length L rests against a vertical wall. The bottom of the ladder is pushed towards the wall at a rate of 2 feet per second. Which related rates equation will determine how fast the ladder moves up the wall when the bottom of the ladder is 4 feet away from the wall? [A] (2)(4)(−2) + 2(√L² – 16). d = 0 at [B] (2) (4) (2) - 2(√L² – 16). = 2L dy dt dy [C] (16)(-2) + (L² −16). d = 2(0²). dt dy dt [E] (2)(16)(-2) + 2(L² - 16) [D] (4)(-2) + (√Ľ² - 16) . = L . dy dt dL dt dL dt = 2(L²). dL dt
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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Question
![A ladder of length L rests against a vertical wall. The bottom of the ladder is pushed
towards the wall at a rate of 2 feet per second. Which related rates equation will
determine how fast the ladder moves up the wall when the bottom of the ladder is 4 feet
away from the wall?
[A] (2)(4)(−2) + 2(√Ľ² – 16). dy :
dy = 0
dt
[B] (2)(4)(2) — 2(√L² – 16). dy
dt
dy
[C] (16)(−2) + (L² − 16). d = 2(0²).
dt
= 2L
dy
[D] (4)(-2) + (√Ľ² – 16) = L
dt
I
dy
[E] (2)(16)(−2) + 2(L² – 16). d
dt
.
=
dL
dt
dL
dt
dL
: 2 (L²). t
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93724627-c7b6-406b-9a00-d0dcd2c570ce%2F033d1b82-ec35-4f34-ab92-e5ae28f2d293%2Fmkhhrke_processed.png&w=3840&q=75)
Transcribed Image Text:A ladder of length L rests against a vertical wall. The bottom of the ladder is pushed
towards the wall at a rate of 2 feet per second. Which related rates equation will
determine how fast the ladder moves up the wall when the bottom of the ladder is 4 feet
away from the wall?
[A] (2)(4)(−2) + 2(√Ľ² – 16). dy :
dy = 0
dt
[B] (2)(4)(2) — 2(√L² – 16). dy
dt
dy
[C] (16)(−2) + (L² − 16). d = 2(0²).
dt
= 2L
dy
[D] (4)(-2) + (√Ľ² – 16) = L
dt
I
dy
[E] (2)(16)(−2) + 2(L² – 16). d
dt
.
=
dL
dt
dL
dt
dL
: 2 (L²). t
dt
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