7) Find points P and Q on the parabola y=1-x² so that the triangle ABC formed by the x-axis and the tangent lines at P and Q is an equilateral triangle. 00 -0.5 -021 -0.41 0.5 Q 1 с HINT: Triangle ABC is an equilateral triangle so each angle of that triangle is 60 degrees. This makes slope of side AC to be -sqrt 3 and side BA to be sqrt3. Find derivative of y:-1-x^2 in order to find the slope of the parabola. Set the slope of the parabola equal to the two previously mentioned slopes in order to find the x-ordinate of Point P and Point Q. Next use this result to find the y-ordinates of Points P and Q.
7) Find points P and Q on the parabola y=1-x² so that the triangle ABC formed by the x-axis and the tangent lines at P and Q is an equilateral triangle. 00 -0.5 -021 -0.41 0.5 Q 1 с HINT: Triangle ABC is an equilateral triangle so each angle of that triangle is 60 degrees. This makes slope of side AC to be -sqrt 3 and side BA to be sqrt3. Find derivative of y:-1-x^2 in order to find the slope of the parabola. Set the slope of the parabola equal to the two previously mentioned slopes in order to find the x-ordinate of Point P and Point Q. Next use this result to find the y-ordinates of Points P and Q.
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
Transcribed Image Text:2)
7) Find points P and Q on the parabola y=1-x' so that the triangle ABC formed
by the x-axis and the tangent lines at P and Q is an equilateral triangle.
B 1
A
-0.5
The figure shows a circle with radius inscribed in the pos
Find the center of the circle.
-02-
-0.4
0.5
1 C
HINT: Triangle ABC is an equilateral triangle so each angle of that triangle is 60
degrees. This makes slope of side AC to be -sqrt 3 and side BA to be sqrt3. Find
derivative of y:-1-x^2 in order to find the slope of the parabola. Set the slope of the
parabola equal to the two previously mentioned slopes in order to find the x-ordinate of
Point P and Point Q. Next use this result to find the y-ordinates of Points P and Q.
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