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7. ) How many points must you place in a square with the dimension of 3cm by 3cm to guarantee that at least two of them are less than √2 cm distance of each other? Show your how you derive at the answer stating the theorem or principle used and include diagrams if it is helpful. HINT: The formula for the hypotonus of a right-angle triangle is c = √² + b²

7. ) How many points must you place in a square with the dimension of 3cm by 3cm to guarantee that at least two of them are less than √2 cm distance of each other? Show your how you derive at the answer stating the theorem or principle used and include diagrams if it is helpful. HINT: The formula for the hypotonus of a right-angle triangle is c = √² + b²

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. ) How many points must you place in a square with the dimension of 3cm by 3cm to guarantee that at least two of them are less than √2 cm distance of each other? Show your how you derive at the answer stating the theorem or principle used and include diagrams if it is helpful. HINT: The formula for the hypotonus of a right-angle triangle is c = √a² + b²
Transcribed Image Text:7. ) How many points must you place in a square with the dimension of 3cm by 3cm to guarantee that at least two of them are less than √2 cm distance of each other? Show your how you derive at the answer stating the theorem or principle used and include diagrams if it is helpful. HINT: The formula for the hypotonus of a right-angle triangle is c = √a² + b²
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