A hyperbola has the equation9x² + 4y = 24xy + 8x – 5y – 188.Find the equation of the line that is tangent to this hyperbola at the point (4,4). Write your answerin slope-intercept form. An ellipse has the equation. .....6x² + 3y² = -3xy + 3x – 7y + 44.%3DFind the equation of the line that is tangent to this ellipse at the point (-2,2). Write your answer inslope-intercept form.

Answered: A hyperbola has the equation 9x? + 4y =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Concept explainers

Question

100%

A hyperbola has the equation
9x² + 4y = 24xy + 8x – 5y – 188.
Find the equation of the line that is tangent to this hyperbola at the point (4,4). Write your answer
in slope-intercept form.

An ellipse has the equation
. .....
6x² + 3y² = -3xy + 3x – 7y + 44.
%3D
Find the equation of the line that is tangent to this ellipse at the point (-2,2). Write your answer in
slope-intercept form.

Expert Solution

Step 1

Since there are two questions posted, we will answer the first question posted. If you want the second question to be answered, then please resubmit that question only.

Given:

A hyperbola has the equation $9 x^{2} + 4 y^{2} = 24 x y + 8 x - 5 y - 188$ .

Now find the equation of the line that is tangent to this hyperbola at the point (4,4) as follows.

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Parabolas$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions