2. For Luce Landscaping, the total revenue and the total cost for yard maintenance of a homes are given by R(x): 1000x-r² and C(r) = 3000 + 20r. Suppose that Luce is adding 10 homes per day at the moment when the 400th customer is signed. At that moment, what is the rate of change of Profit, ? S 3. A 20 ft ladder is leaning against a wall and begins to slide. How fast is the top of the ladder sliding down the wall as the instant of time when the bottom of the ladder is 12 ft from the wall and is sliding away from the wall at a rate of 5 ft/sec? HE Next 6:09 PF 7/2/2022

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Hello! Can someone help me solve this question. Question number 2 and show all work. Thank you.
2. For Luce Landscaping, the total revenue and the total cost for yard maintenance of a homes
are given by R(x): 1000x - x² and C(r) = 3000 + 20r. Suppose that Luce is adding 10
homes per day at the moment when the 400th customer is signed. At that moment, what is
the rate of change of Profit, ?
dt
Cross
3. A 20 ft ladder is leaning against a wall and begins to slide. How fast is the top of the ladder
sliding down the wall as the instant of time when the bottom of the ladder is 12 ft from the
wall and is sliding away from the wall at a rate of 5 ft/sec?
H
Next
6:09 PF
7/2/2022
Transcribed Image Text:2. For Luce Landscaping, the total revenue and the total cost for yard maintenance of a homes are given by R(x): 1000x - x² and C(r) = 3000 + 20r. Suppose that Luce is adding 10 homes per day at the moment when the 400th customer is signed. At that moment, what is the rate of change of Profit, ? dt Cross 3. A 20 ft ladder is leaning against a wall and begins to slide. How fast is the top of the ladder sliding down the wall as the instant of time when the bottom of the ladder is 12 ft from the wall and is sliding away from the wall at a rate of 5 ft/sec? H Next 6:09 PF 7/2/2022
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