Let X = ℝ2 and let d be the Euclidean metric. Define w: ℝ2 × ℝ2 →ℝ by(This metric is somet...

Let X = ℝ2 and let d be the Euclidean metric. Define w: ℝ2 × ℝ2 →ℝ by

(This metric is sometimes called the “Washington metric” because of its similarity to the streets of Washington, D.C.) Let p = (4, 5) and q = (1, 1) Draw the following neighborhoods for this metric:

(a) N(0; 1);

---

(b) N(p; 2);

---

(c) N(q; 2).