2) The figure shows a circle with radius 1 inscribed in the parabola y = x² Find the center of the circle. y↑ HINT: The circle's center will be along the line x=0, so the center will be (0,k). Any poin the parabola will be (x,x^2). Enter your circle as circ1:=x^2+(y-k)^2 and your parabola as parab:=y=x^2; Find the derivative with respect to x and y for both and set them equal to e other. Isolate the result you get for y-k. Isolate (equation,y-k);. Substitute this result into y+(y-k)^2=1 in order to solve for k.

2) The figure shows a circle with radius 1 inscribed in the parabola y = x² Find the center of the circle. y↑ HINT: The circle's center will be along the line x=0, so the center will be (0,k). Any poin the parabola will be (x,x^2). Enter your circle as circ1:=x^2+(y-k)^2 and your parabola as parab:=y=x^2; Find the derivative with respect to x and y for both and set them equal to e other. Isolate the result you get for y-k. Isolate (equation,y-k);. Substitute this result into y+(y-k)^2=1 in order to solve for k.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 38E

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