A curve through the point Q(4,3) has the property that the sum of the distances from each point on the curve to the points A(0,0), B(4,0), and C(0,3) is constant.

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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А сurve through the point
Q(4, 3) has the property that the sum of the distances from each point on the
curve to the points A(0,0), B(4,0), and C(0,3) is constant.
(a) Find an equation of the curve. Then plot the curve in desmos.
(b) Find an equation of the normal line to the curve at the point Q(4,3).
Then plot the normal line in desmos and check that it looks perpendicular to
the curve.
Transcribed Image Text:А сurve through the point Q(4, 3) has the property that the sum of the distances from each point on the curve to the points A(0,0), B(4,0), and C(0,3) is constant. (a) Find an equation of the curve. Then plot the curve in desmos. (b) Find an equation of the normal line to the curve at the point Q(4,3). Then plot the normal line in desmos and check that it looks perpendicular to the curve.
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