Math 21B Homework

Classical Homework Assignments

These problems are NOT required for submission. Even though these problems are optional, you are responsible for knowing how to solve all of them and are highly encouraged to try as many as possible.

Solutions are provided by Dr. Kouba.

HW#1: Section 4.8 (pg 285): # 2, 5, 8, 11, 15, 20, 21, 23, 26, 34, 36, 39, 46, 50, 51, 60, 62, 66, 69, 78, 79, 80, 83bc, 86bc, 90, 96, 98, 106, 109, 117, 120 (... and how high will the rocket be after 1 minute ?), 122, 125 ... Solutions

HW#2: Section 5.1 (pg 304): # 1bd, 3bd, 6, 10, 12, 19 ...... and ..... Section 5.2 (pg 312): # 2-5, 7, 8, 11, 12, 16, 17, 20, 23, 25, 28, 29, 30, 33 ... Solutions

HW#3: Section 5.3 (pg 321): # 10, 11, 13, 16, 18-20, 22, 24, 53, 73, 75, 76, 79 ... Worksheet 1 ... Solutions

HW#4: Section 5.3 (pg 321): # 55, 58, 61 ...... and ..... Section 5.4 (pg 333): # 1, 3, 7, 9, 12, 13, 16, 20, 22, 26, 29, 32 (Change 1/sqrt{3} to 1/2), 34, 35, 36, 39, 43, 50, 60, 75, 77, 78, 80, 83, 84 ... Solutions

HW#5: Section 5.5 (pg 342): # 3, 5-7, 10-12, 14, 15, 17, 22-25, 28, 29, 31-33, 36, 38, 40-44, 46, 49, 50, 54, 55, 58, 59, 65, 69, 70, 71, 76, 78 ... Solutions

HW#6: Section 5.6 (pg 350): # (Use u-substitution when appropriate) 2a, 4b, 7b, 11a, 16, 22, 24, 31, 41, 47, 53-55, 58, 63, 66, 68, 73, 74, 80, 85, 95, 99, 102, 106 (Set up integrals but do not evaluate.), 115 ... Solutions

HW#7: Section 6.1 (pg 371): # (SETUP BUT DO NOT EVALUATE INTEGRALS) 1, 2, 6b, 7, 10, 11, 14 (Evaluate the volume integral.), 15, 16, 20-22, 25, 30, 32, 35, 40, 41, 43, 46, 47, 50-53, 56 (Evaluate the volume integral.), 60 (Evaluate the volume integral.), 62 (SET UP volume V as a function of c and stop.) ... Solutions

HW#8: Section 6.2 (pg 379): # 2-4, 6, 8, 10 (right half of region), 12, 13 (Evaluate this integral.), 15, 18, 22, 27, 29, 30, 32 (Set up the Disc Method and Shell Method for each part.), 33, 36, 38, 42 (Evaluate this integral.), 43, 47 (Evaluate this integral.) ... Solutions

HW#9: Section 6.3 (pg 386): # 1-4, 8, 19a, 20a, 21, 22, 24, 31 ... Solutions

HW#10: Section 6.4 (pg 391): # 9, 13, 14, 17, 20, 21, 25, 32 ... Solutions

HW#11: Section 6.5 (pg 398): # 1, 2, 4, 7, 8, 9, 11 (Include the weight of the bucket when computing work.), 13a, 14a, 17, 19, 24-26 ... Solutions

HW#12: Section 6.5 (pg 398): # 34, 37a, 38, 40, 41, 43a, 44 ... Solutions

HW#13: Section 6.6 (pg 411): # (For these problems, unless otherwise noted, you need only SET UP integrals.) 1, 2 (Change y-25-x^2 to y=sqrt{25-x^2}.), 3, 6, 9, 12, 15, 16, 18b, 21 (Use points (0,0), (1,0), and (1,1) and the formulas from class. Evaluate the integrals.), 25 (Also find moment about the y-axis, SET UP ONLY), 26 (Evaluate integrals.), 27 (Evaluate integrals.), 29, 31, 35, 37 (Also find surface area.), 39, 42, 45 ... Solutions

HW#14: Section 7.1 (pg 425): # 2, 3, 5-9, 12, 13, 15, 20, 22, 24, 25, 26, 28, 32, 33, 36, 39, 42, 49, 51, 53, 55, 70b ... Solutions

HW#15: Section 7.2 (pg 433): 1-3, 7, 10-13, 16, 17, 19, 20, 22, 26, 27, 30, 33, 35, 36, 39 (See Newton's Law of Cooling formula on pages 432, 433. Assume that the cooling constant k is the same for both parts a and b.), 41, 43, 45, 46 ... Solutions

HW#16: Section 8.1 (pg 459): # 1, 4, 5, 8, 9, 11-13, 15, 23, 26, 27, 29, 30, 31 (Change x sec(x^2) to x sec^2(x^2), 33-35, 37-39, 41, 44-47, 49, 50, 53, 56a, 62-65 ... Solutions

HW#17: Section 8.2 (pg 466): # 1-3, 5-7, 10, 11, 14, 15, 17, 19, 20, 22, 24, 25, 27, 28, 33, 35, 36, 39, 34, 41, 44, 46, 47, 51 (Use integration by parts), 54, 55 (Use integration by parts), 57 (Use integration by parts), (Do problems 51, 55, and 62 using trig identies on page 465) 51, 55, 62, 63-67, 69, 71, 73 (SET UP integrals only.) , 74 (Evaluate integrals.) ... Solutions

HW#18: Section 8.3 (pg 473): # 1, 4, 5, 8, 11, 13, 17, 18, 20, 28, 35, 45, 47, 52, 56-58 ... Solutions

HW#19: Section 8.4 (pg 479): # 9, 12, 13, 16, 19, 20, 21, 23, 26, 34, 37, 39, 42, 45 ... Solutions

HW#20: Section 8.6 (pg 493): # 4 (parts a and b only), 7 (parts a and b only), 15, 17, 20, 26, 32 ... Solutions

HW#21: Section 8.7 (pg 505): # 1, 4, 6, 9, 14, 15, 20, 21, 25, 30, 34, 37, 41, 42, 51, 53, 59, 67, 69, 70, 75b (Show that this integral converges.) ... Solutions

HW#22: Section 11.1 (pg 634): # 1, 4-6, 8, 10-12, 14, 16, 19, 21, 24, 27, 28, 31, 33, 34, 39 ... Solutions

HW#23: Section 11.2 (pg 643): # 1, 5, 6, 9, 11, 13-15, 18-20, 25-27, 29, 31, 32, 34, 38 (SET UP but do NOT evaluate integrals.), 45, 48 (SET UP but do NOT evaluate the integral.) ... Solutions

HW#24: Section 11.3 (pg 648): # 1, 6dfh, 7, 8bd, 9ac, 11, 14, 17, 27, 32, 36, 38, 47, 53-57, 61-63, 66 ... The following problems are from Edition 11, which you can find HERE ... 31, 33-35, 45, 47ac ... Solutions

HW#25: Section 11.4 (pg 652): # 1, 6, 7, 10, 18, 19, 21b, 22a, 23b, 24a, 26-28 ... Solutions

Written Homework Assignments

Read, Reflect, and React Prompt #1

Read, Reflect, and React Prompt #2

Read, Reflect, and React Prompt #3

Read, Reflect, and React Prompt #4