 #1
MidgetDwarf
 1,405
 556
 Homework Statement:
 Let $$ A = { (x,y) : x^2 y^3 +4y \leq 1}$$ . Now let B be the set obtained asymmetrically scaling A by a factor of 3 in the xdirection, and by a factor of 4 in the ydirection, then translating the scale set by the vector <2,5>. Use a graphing tool to show A and B.
 Relevant Equations:

$$ h(x,y) = x^2 y^3 +4y \leq 1$$
What does asymmetrically scaling mean?
I am unsure of how to do this problem. I am thinking $$ h(3x,4y) = 9x^2 \  \ 64y^3 \ + \ 16y \leq 1$$, which gives us the scaling we want in the xdirection and ydirection.
Now, for the translation of points of A by the vector <2, 5>. I am unsure.
I am a bit embarrassed posting this. It appears that this problem is just a linear transformation problem.
This problem is for fun, and not a hw exercise.
I have attached a graph of the set A.
Here we go!