Apply partial derivative. Find the equation of the line tangent to(a) The parabola z = 2x - 3y, y = 1 at the point (-2, 1, 5)(b) The parabola z = 2x? – 3y', r = -2 at the point (-2, 1,5)(c) The hyperbola z = 2x - 3y', z = 5 at the point (-2, 1, 5)Show that these three lines lie in the plane 8x + 6y + z + 5= 0.

Given: we have to find equation of tangent lines equation of tangent line : y-y1=m(x-x1)

Answered: Find the equation of the line tangent…

Find the equation of the line tangent to (a) The parabola z = 2x² - 3y², y = 1 at the point (-2,1,5) (b) The parabola z = 2x²-3y², x=-2 at the point (-2, 1,5)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 60E

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Question

Apply partial derivative.

Find the equation of the line tangent to
(a) The parabola z = 2x - 3y, y = 1 at the point (-2, 1, 5)
(b) The parabola z = 2x? – 3y', r = -2 at the point (-2, 1,5)
(c) The hyperbola z = 2x - 3y', z = 5 at the point (-2, 1, 5)
Show that these three lines lie in the plane 8x + 6y + z + 5= 0.

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