nat is the objective function, 0, in terms of the distance from the screen, x? tan pe an expression.) e interval of interest of the objective function is (0,00). mplify your answer. Type your answer in interval notation.) u should standOt from the screen to maximize your viewing angle. pe an exact answer, using radicals as needed.)

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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Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 150 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions?
Write a function for the volume V of the box in terms of w, one of the edges of the square bottom.
V = 150w2 – 2w3
(Type an expression.)
The interval of interest of the objective function is
(Simplify your answer. Type your answer in interval notation.)
Transcribed Image Text:Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 150 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions? Write a function for the volume V of the box in terms of w, one of the edges of the square bottom. V = 150w2 – 2w3 (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.)
An auditorium with a flat floor has a large screen on one wall. The lower edge of the screen is 3 ft above eye level and the upper edge of the screen is 12 ft above eye level (see figure).
How far from the screen should you stand to maximize your viewing angle?
12 ft
3 ft
What is the objective function, 0, in terms of the distance from the screen, x?
0 = tan
12
- 1
- 1
- tan
X
(Type an expression.)
The interval of interest of the objective function is (0,00).
(Simplify your answer. Type your answer in interval notation.)
You should stand ft from the screen to maximize your viewing angle.
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:An auditorium with a flat floor has a large screen on one wall. The lower edge of the screen is 3 ft above eye level and the upper edge of the screen is 12 ft above eye level (see figure). How far from the screen should you stand to maximize your viewing angle? 12 ft 3 ft What is the objective function, 0, in terms of the distance from the screen, x? 0 = tan 12 - 1 - 1 - tan X (Type an expression.) The interval of interest of the objective function is (0,00). (Simplify your answer. Type your answer in interval notation.) You should stand ft from the screen to maximize your viewing angle. (Type an exact answer, using radicals as needed.)
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