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Given a point (0, 30, 0) for which z + y ≤ 1, note that the point To, yo, 1 √1-x² - y2 is on the hemisphere S bounded between z = 0 and z = 1. Then we can use the parametric equations I = Tot y = yot z = 2(1 – t) + (1 -√√1- x - y) t to describe the line in R³ passing through (0, 0, 2) and To, yo, 1 Find the point on the plane z = 0 which meets this line. -x-2

Given a point (0, 30, 0) for which z + y ≤ 1, note that the point To, yo, 1 √1-x² - y2 is on the hemisphere S bounded between z = 0 and z = 1. Then we can use the parametric equations I = Tot y = yot z = 2(1 – t) + (1 -√√1- x - y) t to describe the line in R³ passing through (0, 0, 2) and To, yo, 1 Find the point on the plane z = 0 which meets this line. -x-2

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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Given a point (0, 30, 0) for which z + y ≤ 1, note that the point To, yo, 1 √1-x² - y2 is on the hemisphere S bounded between z = 0 and z = 1. Then we can use the parametric equations I = Tot y = yot z = 2(1 – t) + (1 -√√1- x - y) t to describe the line in R³ passing through (0, 0, 2) and To, yo, 1 Find the point on the plane z = 0 which meets this line. -x-2
Transcribed Image Text:Given a point (0, 30, 0) for which z + y ≤ 1, note that the point To, yo, 1 √1-x² - y2 is on the hemisphere S bounded between z = 0 and z = 1. Then we can use the parametric equations I = Tot y = yot z = 2(1 – t) + (1 -√√1- x - y) t to describe the line in R³ passing through (0, 0, 2) and To, yo, 1 Find the point on the plane z = 0 which meets this line. -x-2
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