nis question we prove that certain sets are not convex. each of the following sets, give the coordinates of two points where P and Q are in the set, but the line from P to Q goes example, if the points are (1,2) and (3, 4), enter in the format (1,2).(3,4) R-{(s.):2+u221,y<아} 1,-1/2).(1,-1/2) s- {(r,9) : (2 – 1)² + y² < 10}u{(z,y) : (z+3)2 +y? < 18} T-{(2,p) : 2 > 6}n{(=,p) : ² < 4} (sqrt(-6),-2).(sqrt(6),2)
nis question we prove that certain sets are not convex. each of the following sets, give the coordinates of two points where P and Q are in the set, but the line from P to Q goes example, if the points are (1,2) and (3, 4), enter in the format (1,2).(3,4) R-{(s.):2+u221,y<아} 1,-1/2).(1,-1/2) s- {(r,9) : (2 – 1)² + y² < 10}u{(z,y) : (z+3)2 +y? < 18} T-{(2,p) : 2 > 6}n{(=,p) : ² < 4} (sqrt(-6),-2).(sqrt(6),2)
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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In this question we prove that certain sets are not convex. For each of the following sets, give the coordinates of two points where P and Q are in the set, but the line from P to Q goes outside the set. For example, if the points are (1,2)and (3,4), enter in the format (1,2),(3,4)
Transcribed Image Text:In this question we prove that certain sets are not convex.
For each of the following sets, give the coordinates of two points where P and Q are in the set, but the line from P to Q goes
For example, if the points are (1,2) and (3,4), enter in the format (1,2),(3,4)
- {(z,9) : =2 + y? 2 1, y<o}
(a) R =
(-1,-1/2),(1.-1/2)
(b) S = {(z, v) : (z – 1)²+ y? < 10}u{(z,v) : (- +3)2 + y² s 18}
(e)T - {(2,9) : =? > 6} n{(2,») : y² < 4}
(sqrt(-6),-2).(sqrt(6).2)
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