Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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)
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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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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