Let P and T be the subsets of the xy-plane de | vedclass

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(B) The set $P$ represents the arc of the unit circle $x^2 + y^2 = 1$ in the first quadrant $(x > 0, y > 0)$.The set $T$ represents the region inside

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$P$

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(B) The set $P$ represents the arc of the unit circle $x^2 + y^2 = 1$ in the first quadrant $(x > 0, y > 0)$.The set $T$ represents the region inside the curve $x^8 + y^8 = 1$ in the first quadrant.For any point $(x, y)$ on the circle $x^2 + y^2 = 1$ in the first quadrant, we have $0 Since $0 Therefore, $x^8 + y^8 This means that every point $(x, y)$ in $P$ also satisfies the condition $x^8 + y^8 Thus, $P \cap T = P$.

Let $P$ and $T$ be the subsets of the $xy$-plane defined by $P = \{(x, y) : x > 0, y > 0 \text{ and } x^2 + y^2 = 1\}$ and $T = \{(x, y) : x > 0, y > 0 \text{ and } x^8 + y^8 < 1\}$. Then, $P \cap T$ is

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