For the function f(x, y) = 9x2 – 4y2 + 18x + 16y + 30,(a) write the equation of the level curve f(x, y) = k with k = 1 in the standard form ofa conic section;(b) sketch the level curve and find the following characteristics of the curve and markthem clearly on your sketch:

a) The given function is fx,y=9x2-4y2+18x+16y+30 The equation of level curve can be written as…

For the function f (x, y) = 9x - 4y + 18x + 16y + 30, (a) write the equation of the level curve f(x, y) = k with k = 1 in the standard form o a conic section; (b) sketch the level curve and find the following characteristics of the curve and mark them clearly on your sketch:

For the function f (x, y) = 9x - 4y + 18x + 16y + 30, (a) write the equation of the level curve f(x, y) = k with k = 1 in the standard form o a conic section; (b) sketch the level curve and find the following characteristics of the curve and mark them clearly on your sketch:

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 30E

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Question

For the function f(x, y) = 9x2 – 4y2 + 18x + 16y + 30,
(a) write the equation of the level curve f(x, y) = k with k = 1 in the standard form of
a conic section;
(b) sketch the level curve and find the following characteristics of the curve and mark
them clearly on your sketch:

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