13.4: 2, 7, 9, 12, 18, 28 (Optional: 5, 10, 13, 17)
13.5: 2, 7, 14, 15, 20, 21, 22 (Optional: 4, 12, 16) *Hint: for #20 calculate div(curl G).
13.6: 5, 11, 23, 27 (Optional: 7, 14, 19, 24, 31, 38)
13.7: 2, 3, 5, 9, 10 (Optional: 6, 7)
13.8: 5, 8, 10, 11 (Optional: 7, 9, 12)
HW 12 (Due 11/28)
13.1: 2, 8, 11, 16, 24, 29 (Optional: 11, 12, 14, 17, 21)
13.2: 3, 6, 10, 14, 19, 40 (Optional: 7, 16, 17, 18, 41)
13.3: 6, 8, 15, 20, 23 (Optional: 3, 12, 16, 25, 26)
HW 11 (Due 11/14)
12.8: 11, 12, 21, 26 (Optional: 5, 6, 9, 17, 36)
12.9: 4, 9, 12, 13, 17, 24 (Optional: 16, 23, 25, 26)
HW 10 (Due 11/7)
12.3: 6, 10, 22, 23, 28, 31, 43* (Optional: 4, 7, 19, 20, 21, 26, 27, 30, 41) *Note don’t solve integral in 43, just sketch region and set up reversed order of integration.
12.4: 4, 11, 16, 20, 27 (Optional: 1, 8, 22, 30)
12.5: 2, 8, 13 (Optional: 10, 17)
12.6: 1, 4, 5 (Optional: 2, 8)
12.7: 4, 17, 19, 27, 43, 46 (Optional: 6, 9, 18, 20)
HW 9 (Due 11/2)
11.7: 9*, 11*, 14*, 28, 31, 36, 42, 43 (Optional: 4, 6, 8, 30, 35, 40, 44, 47) *You don’t have to submit graphs, but you can use wolfram alpha to graph the functions, so that you can visually check your answers.
11.8: 4, 5, 13, 18, 27, 31 (Optional: 6, 8, 30)
12.1: 2, 12 (Optional: 11)
12.2: 4, 8, 16, 21, 29, 30 (Optional: 6, 11, 17, 26)
HW 8 (Due 10/24)
11.3: 6, 7, 18, 24, 30, 45, 50, 62 (Optional: 8, 19, 25, 27, 37, 41, 46, 60, 69, 75)
11.4: 4, 11, 15, 19 (Optional: 3, 14, 17, 23, 33, 36, 41)
11.5: 2, 5, 10, 14, 17, 24, 26, 29, 33, 36, 43 (Optional: 11, 21, 28, 32, 45)
11.6: 6, 8, 15, 24, 27, 28, 31, 40 (Optional: 20, 41, 50, 52)
HW 7 (Due 10/17)
11.1: 5, 9, 12, 20, 23, 24, 27, 36, 39, 41, 43, 46 (Optional: 6, 8, 14, 19, 23, 35, 37)
11.2: 6, 7, 12, 14, 16, 18, 23, 30, 31, 34 (Optional: 5, 9, 11, 17, 19, 29)
HW 6 (Due 10/3)
10.2: 6, 17, 21, 33 (Optional: 3, 5, 9, 19, 24, 34, 35)
10.3: 1, 11, 14, 15, 17, 24, 36 (Optional: 3, 13, 18, 22, 25, 37, 46)
10.4: 4, 5, 14, 19, 21*, 23, 34 (Optional: 6, 9, 13, 17, 18, 24, 26, 35) * range refers to how far in the x-direction it can travel before hitting the ground.
HW 5 (Due 9/26)
9.5: 4, 8, 10, 20, 25, 29, 31, 38, 39, 40, 48, 57 (Optional: 1, 5, 6, 9, 12, 17, 18, 23, 24, 27, 30, 34, 42, 51, 56)
9.6: 4, 8, 10, 11, 15, 17, 19 (Optional:3, 6, 7, 12, 13, 20, 21)
10.1: 1, 3, 9, 16, 19, 20, 38 (Optional: 8, 10, 21, 23, 29, 36)
HW 4 (Due 9/19)
9.2: 8, 12, 18, 20, 22, 23, 24 (Optional: 6, 9, 14, 15, 19)
9.3: 2, 6, 9, 12, 19, 22, 27, 29, 37 (Optional: 11, 16, 18, 23, 24, 32, 39)
9.4: 5*, 8, 12, 20, 23, 25, 29, 31 (Optional: 2, 4, 10, 22, 27, 32) *For #5 first convert to meters.
HW 3 Solutions
HW 3 (Due 9/12)
8.6: 13 (Optional: 20, 24, 26)
8.7: 6, 14, 15, 23, 30, 43, 52, 55, 63, 64 (Optional: 7, 9, 12, 22, 24, 28, 29, 44, 51, 58, 61, 62)
8.8: 12, 23 (Optional: 4, 11) *You don’t need to include a graph for #23.
9.1: 8, 11, 14, 31, 34 (Optional: 10, 15, 23, 26, 27, 29, 33, 36)
HW 2 Solutions
HW 2 (Due 9/5)
8.4: 9, 10, 14, 29, 30 (Optional: 4, 5, 27, 34, 37)
8.5: 3, 10, 13, 19, 21, 26 (Optional: 8, 16, 18, 20, 24)
8.6: 5, 8, 15 (Optional: 4, 6, 9, 19)
HW 1 Solutions
HW 1 (Due 8/29)
8.1: 16, 19, 23, 28, 30, 50 (Optional: 7, 8, 11, 14, 18, 26, 32, 33, 49)
8.2: 14, 16, 22, 28, 32, 49 (Optional: 23, 24, 30, 36)
8.3: 6, 19, 22, 29,32* (Optional: 2, 8, 9, 10, 11, 14, 21, 25) *For #32 only find the error in part (a), skip part (b), and do answer part (c).