Let a = {(x, y) | x ^ 2 / 4 + y ^ 2 / 16 = 1}, B = {(x, y) | y = 3 ^ x}, then a intersects B to get the number of subsets | Math enthusiast | Mathematical art

Let a = {(x, y) | x ^ 2 / 4 + y ^ 2 / 16 = 1}, B = {(x, y) | y = 3 ^ x}, then a intersects B to get the number of subsets

B (0,1)
And the vertex of a major axis (0,4)
So (0,1) is in the ellipse
We can see by drawing
AB has two intersections
So a and B have two elements
So the number of subsets = 2 & sup2; = 4

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