Question

plete the following Find the intercepts and domain, and perform the wymiary womach AOM (n) for 25y 9x + 4y 36

Answer 1

We will proceed as follows:

a)

`16x^2+25y^2=400`

From this, we can see that the x-intercepts are located at (-5, 0) & (5, 0).

The y-intercepts are located at (0,4) & (0, -4).

The domain is [-5, 5] and their range is [-4, 4]

b)

`25x^2+16y^2=400`

From this, we can see that the x-intercepts are located at (-4, 0) & (4, 0).

The y-intercepts are located at (0, 5) & (0, -5).

The domain is [-4, 4], and the range [-5, 5].

***

For ellipsis, we find their x & y-intercepts as follows:

*Since they are written in the form:

`(ax)^2+(by)^2=c^2`

The value a that accompanies x will give as a solution the y-component of the y-intercept, and the b value that accompanies the y-component gives the x-component of the x-intercept.

*The domain is given by greatest and lowest x-values [The extremes of the shape] and the range is given by the greatest and lowest y-values.