A poster is to contain 300 (cm square) of printed matter with margins of 10 cm at the top and bottom and 5 cm at each side. Find the overall dimensions if the total area of the poster is minimum.

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 poster is to contain 300 (cm square) of
printed matter with margins of 10 cm at the
top and bottom and 5 cm at each side.
Find the overall dimensions if the total
area of the poster is minimum.
A. 27.76 cm, 47.8 cm
B. 20.45 cm, 35.6 cm
22.24 cm, 44.5 cm
25.55 cm, 46.7 cm
C.
D.
A norman window is in the shape of a
rectangle surmounted by a semi-circle.
What is the ratio of the width of the
rectangle to the total height so that it will
yield a window admitting the most light for
a given perimeter?
A. 1
B. 1/2
C. 2
D. 2/3
Transcribed Image Text:A poster is to contain 300 (cm square) of printed matter with margins of 10 cm at the top and bottom and 5 cm at each side. Find the overall dimensions if the total area of the poster is minimum. A. 27.76 cm, 47.8 cm B. 20.45 cm, 35.6 cm 22.24 cm, 44.5 cm 25.55 cm, 46.7 cm C. D. A norman window is in the shape of a rectangle surmounted by a semi-circle. What is the ratio of the width of the rectangle to the total height so that it will yield a window admitting the most light for a given perimeter? A. 1 B. 1/2 C. 2 D. 2/3
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