(i) Find the shortest distance from the origin to the line 3x + y = 6 and give the coordinate of the point P on this line that is closest to the origin. - Hint: Optimize the (distance) formula D = √√(x - xo)² + (y yo)² which measures the distance between a point (x, y) and the reference point (xo, yo). (ii) Show that the origin lies on the line perpendicular to 3x + y = 6 at the point P.
(i) Find the shortest distance from the origin to the line 3x + y = 6 and give the coordinate of the point P on this line that is closest to the origin. - Hint: Optimize the (distance) formula D = √√(x - xo)² + (y yo)² which measures the distance between a point (x, y) and the reference point (xo, yo). (ii) Show that the origin lies on the line perpendicular to 3x + y = 6 at the point P.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![(i) Find the shortest distance from the origin to the line 3x + y = 6 and give the coordinate of the point
P on this line that is closest to the origin.
-
-
Hint: Optimize the (distance) formula D = √√√(x xo)² + (y yo)² which measures the distance
between a point (x, y) and the reference point (xo, yo).
(ii) Show that the origin lies on the line perpendicular to 3x + y = 6 at the point P.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f9deaaa-599a-42a3-a314-458a15b32de7%2Fb658f85f-6e90-4f4d-b49b-bcd6bf5bc499%2Fiv5zuup_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(i) Find the shortest distance from the origin to the line 3x + y = 6 and give the coordinate of the point
P on this line that is closest to the origin.
-
-
Hint: Optimize the (distance) formula D = √√√(x xo)² + (y yo)² which measures the distance
between a point (x, y) and the reference point (xo, yo).
(ii) Show that the origin lies on the line perpendicular to 3x + y = 6 at the point P.
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