Question

Asked May 6, 2019

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- Find the coordinates and foci of the conic :
**4(x+2)**^{2}= 36-9(y-1)^{2} - Find the equations of the asymptotes for the conic:
**25x**^{2}-150x-16y^{2}-64y-239=0 - Find the equation of an ellipse with a focus at (-5,2) and vertices at (-5,-1) and (-5,6)
- Find the area inside the conic
**x**^{2}+6x=4y-y^{2} - Find the parametric equations of a circle centered at (5,6) with a radius of 4 and where the particle moves in a clockwise direction starting at (5,10) around the circle in 60 seconds. Use parameter 't' as time (in seconds)
- Eliminate the parameter and find the corresponding rectangular equation for the set of parametric equations; find the coordinates of the focus of the resulting curve x=3-t
^{2}& y = t+2

Step 1

Given information:

The given conic equation is **4(x+2) ^{2} = 36-9(y-1)^{2}**.

Calculation:

First, rewrite the given equation, we get

Step 2

Now, divide by 36 on both sides of the equation, we get

Step 3

The general equation ...

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