Homework3

MATH-UA.0120-002 Homework 3 Devesh Jaiswal TOTAL POINTS 78 / 89 QUESTION 1 Problem 2 10 pts 1.1 (a) 5 / 5 ✓ - 0 pts Correct - 5 pts wrong example 1.2 (b) 5 / 5 ✓ - 0 pts Correct - 2 pts inaccurate explanation - 5 pts wrong answer QUESTION 2 Problem 4 15 pts 2.1 (a) 10 / 10 ✓ - 0 pts Correct - 5 pts incomplete proof 2.2 (b) 5 / 5 ✓ - 0 pts Correct - 5 pts wrong answer QUESTION 3 Problem 5 20 pts 3.1 (a) 10 / 10 ✓ - 0 pts Correct - 5 pts incomplete proof - 10 pts no answer I'm sorry, I think I mentioned it before, but I can hardly read your writing. Maybe try typing instead next time. 3.2 (b) 10 / 10 ✓ - 0 pts Correct - 5 pts incomplete proof - 10 pts no answer QUESTION 4 Problem 7 20 pts 4.1 (a) 10 / 10 ✓ - 0 pts Correct - 10 pts no answer - 5 pts incomplete proof 4.2 (b) 5 / 10 - 0 pts Correct ✓ - 5 pts incomplete proof - 10 pts no answer You should expand (1 + 1)^n and deduce the result. QUESTION 5 Problem 9 7 pts

5.1 (b) 4 / 7 - 0 pts Correct ✓ - 3 pts incomplete proof You have to be more general about your proof, instead of using several examples. QUESTION 6 Problem 10 7 pts 6.1 (a) 4 / 7 - 0 pts Correct ✓ - 3 pts incomplete proof - 7 pts no answer You have to be more general about your proof, instead of using several examples. QUESTION 7 7 Problem 11 10 / 10 ✓ - 0 pts Correct - 5 pts incomplete proof Page 2

1.2 (b) 5 / 5 ✓ - 0 pts Correct - 2 pts inaccurate explanation - 5 pts wrong answer Page 4

2.1 (a) 10 / 10 ✓ - 0 pts Correct - 5 pts incomplete proof Page 5

3.1 (a) 10 / 10 ✓ - 0 pts Correct - 5 pts incomplete proof - 10 pts no answer I'm sorry, I think I mentioned it before, but I can hardly read your writing. Maybe try typing instead next time. Page 7

3.2 (b) 10 / 10 ✓ - 0 pts Correct - 5 pts incomplete proof - 10 pts no answer Page 8

4.2 (b) 5 / 10 - 0 pts Correct ✓ - 5 pts incomplete proof - 10 pts no answer You should expand (1 + 1)^n and deduce the result. Page 10

5.1 (b) 4 / 7 - 0 pts Correct ✓ - 3 pts incomplete proof You have to be more general about your proof, instead of using several examples. Page 11

7 Problem 11 10 / 10 ✓ - 0 pts Correct - 5 pts incomplete proof Page 13