Dr. Sarah’s 4710 Problem Set 2 – DUE Tues September 16

** **

**Problem 1:** Patty p. 9 number 11

**Problem 2 (Grad):** Patty p. 9 number 18

The taxi-cab metric on R^n measures the distance that a taxi would have to travel between points if the city is laid out on a grid-like structure. It has other real-life applications also – it is useful in ecology for measuring the distance between species.

**Problem 3:** Patty p. 8 number 2

**Problem 4:** **Prove** that SAS does not hold in R^2 with the taxicab
metric. Hint: Use the picture below from
Sibley’s The Geometric Viewpoint to help you.

**Problem 5:** Patty p. 14 number 2 (part a everyone,
part b Grad)

**Problem 6:** Patty p. 15 number 10

** **

**Problem 7:** Patty p. 15 number 11