Maths question. (1 Viewer)

[pffft]

Sketch the region which observes the following conditions, y > 4 / ( x - 1) and y < [or equal to] the square root of 9 - x ^2. Showing x and y intercepts and asymptotes.

Hope you understand that.

Please show answer WITH working.

thanks!

 

[Faytle]

I got the shaded region as being a nearly-filled semi circle (r=3), which stops at x=1. If that makes sense

I doubt its right though. What did you get?

 

[zinc]

I thought you drew both graphs and shaded the region that overlapped, ie two parts to the graph:

1. a semicircle which goes around the origin with a radius of 3 units (and lines which continues straight down from the semicircle)

2. A hyperbola with a vertical asymptote at 1 (because the fraction would be undefined if x was 1) and a horizontal asymptote at 0.

I'll see if I can put a picture in of the graphs. It might not work.View attachment 14901

View attachment 14902

 

[S1M0]

For, y > 4 / ( x - 1), its a hyperbola except that its lines are more steep, and has an aymptote of 1 (as 1 is what makes (x-1) 0, and that will make it undefined).

For the square root of 9 - x ^2, thats a semicricle.

From there you ought to be able to solve the question, its quite easy to be honest.