1.The sides of an equilateral triangle are increasing at the rate of 3 cm/min. a) the rate of change of the perimeter. b) the rate of change of the area when the side is 3 cm. long. Find:

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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II. Solve the following problems. Show details and illustrations.
1.The sides of an equilateral triangle are increasing at the rate of 3 cm/min.
a) the rate of change of the perimeter.
b) the rate of change of the area when the side is 3 cm. long.
Find:
2. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of
Php 75.00 per sq ft. for the base and Php 25.00 /sq ft for the sides. Find the most
economical dimensions.
3. A rectangle is inscribed in a right triangle of sides 5, 12, and 13. What are the
dimensions of the rectangle of greatest area if the its sides coincides with the legs of
the triangle.
Transcribed Image Text:II. Solve the following problems. Show details and illustrations. 1.The sides of an equilateral triangle are increasing at the rate of 3 cm/min. a) the rate of change of the perimeter. b) the rate of change of the area when the side is 3 cm. long. Find: 2. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00 per sq ft. for the base and Php 25.00 /sq ft for the sides. Find the most economical dimensions. 3. A rectangle is inscribed in a right triangle of sides 5, 12, and 13. What are the dimensions of the rectangle of greatest area if the its sides coincides with the legs of the triangle.
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