Chapter 2.P, Problem 25P
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Calculus (MindTap Course List)
8th Edition
James Stewart
ISBN: 9781285740621
Solutions
Chapter
Section
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Calculus (MindTap Course List)
8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem
A lattice point in the plane is a point with integer coordinates. Suppose that circles with radius r are drawn using all lattice points as centers. Find the smallest value of r such that any line with slope
To determine
To find:
The smallest value of r such that any line with slope
Solution:The smallest value of r such that any line with slope
Explanation
1) Formula:
i. Tangent normal formula: If
ii. Equation of line passing through the origin is,
iii. Point-slope formula:
2) Given:
Slope of Tangent line is
3) Calculation:
By using tangent normal formula, the slope of the normal line is,
Equation of line passing through the origin is,
Therefore,
Now, equation of circle centered at origin is,
Solving these equations,
Substitute in
Therefore,
Because of periodic nature of lattice points, it suffices to consider points in 5/2 grid shown
Chapter 2 Solutions
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Express the following hexadecimal numbers as binary numbers. F0E.9D516
Mathematics For Machine Technology
Perform each division and write all answers without using negative exponents. 9m4n9-6m3n412m3n3
College Algebra (MindTap Course List)
Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines ...
Introduction To Statistics And Data Analysis
A recent survey at a major corporation found that employees who regularly participated in the company fitness p...
Research Methods for the Behavioral Sciences (MindTap Course List)
Explain how an idea for a new research study can be obtained from an existing research publication and use exis...
Research Methods for the Behavioral Sciences (MindTap Course List)
The better-selling candies are often high in calories. Assume that the following data show the calorie content ...
Statistics for Business & Economics, Revised (MindTap Course List)
