Math 17B 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 5.8 (pg 272): # 1, 8, 10, 17, 19, 20, 22, 24, 25, 28, 31, 33, 35, 39, 41, 42 (HINT:Use the trig identity cos 2z=1-2 sin^2 z.), 43-46, 49, 50, 54, 60, 66, 70, 72, 73, 75 (Assume that the height of the object at time t seconds is s(t) feet and that the acceleration of the object at time t seconds is s''(t)= -32 ft/sec.^2.), 76, 77 (CORRECTIONS: V(t) is mass in grams NOT volume in grams. Evaporation rate is proportional to t(24-t). dV/dt is the net rate of change of H20 in the plant.) ... Solutions
HW#2: Section 6.1 (pg 291): Finite Summation Rules # 6, 7, 8, 10, 11, 14, 16, 18, 22, 23, 25, 27, 28, 30 ... Solutions
HW#3: Section 6.1 (pg 291): # 35, 36, 61, 62, 64, 67, 75, 77, 83 ... Worksheet 1 ... Solutions
HW#4: Section 6.2 (pg 305): # 5, 7, 12, 15, 16, 20, 24, 27, 32, 33, 36 (Remove restriction that x>0.), 40, 44, 45, 50, 51, 55, 57, 62, 65, 67, 73, 80, 82, 88, 89, 92, 93, 95, 97, 99, 105, 108, 114, 115, 116, 119, 123, 126 ... ... Solutions
HW#5: Section 6.3 (pg 321): # 1-3, 7, 11, 14, 17, 20, 22 (w: pounds, x: months), 24 (N: people, t: years), 25-27, 29, 31, 33 (Replace "Find" with "Use a solid of revolution to derive the formula for".), 34 (Replace "Find" with "Use a solid of revolution to derive the formula for".), 36, 38, 41, 43, 47, 51, 52, 53b, 55 (Assume that y>= 0.), 57 ... Solutions
HW#6: Section 7.1 (pg 333): # 1, 4, 6, 8, 9, 12-14, 16, 18, 20, 21, 24, 26-28, 31-33, 35, 36-43, 45, 48, 50, 52, 54, 55, 57 ... Solutions
HW#7: Section 7.2 (pg 342): # 1, 6, 7, 10, 12, 15, 19, 23, 25, 29, 40, 43, 45, 48-57, 59, 60, 63, 68 ... Solutions
HW#8: Section 7.3 (pg 350): # 1, 4, 5, 9, 11, 13, 27, 29-32, 34, 35, 38, 43, 45, 46, 51 ... Solutions
HW#9: Section 7.4 (pg 362): # 1-5, 8, 9, 11, 14, 17, 18, 20, 25, 28, 29 (Integrate from 0 to infinity, not negative infinity to infinity.), 31, 32 ... Solutions
HW#10: Section 7.5 (pg 370): # 2, 4, 7, 10, 15, 16, 18, 20, 23 ... Solutions
HW#11: Section 7.6 (pg 381): # 1-3, 5-7, 11, 15, 16, 19, 22, 27, 28, 30 ... Solutions
HW#12: Section 8.1 (pg 403): # 1, 2, 4, 7, 9, 10, 12, 13, 17, 19 (Solve for N.), 20 (Solve for W.), 22 (Solve for L.), 28, 32, 36, 37 (Solve for N.), 44, 45, 47, 48, 53 ... Problem A (and Solution) ... Problem B (and Solution) ... Solutions
You can find a site to download copies of your own semi-log graph paper (numbered) HERE
HW#13: First-Order Linear Differential Equations Worksheet ... Worksheet 2: Mixture Problems ... Solutions
HW#14: Section 8.2 (pg 417): # 2, 3, 4, 6a (Use graphing calculator), 6bc, 8a, 9, 10, 14, 21, 24, 25 ... Solutions
HW#15: Section 9.1 (pg 443): # 1, 3, 4, 17, 18ab and add c. Assume now that the mice require nutrients in the ration 5:6., 21, 23, 25, 27, 28, 35 ... Solutions
HW#16: Section 9.2 (pg 465): # 1, 7, 15, 21ab, 24, 26, 27, 29, 34, 35, 37, 39, 42, 43, 45, 51, 53, 55, 63, 65, 67, 69, 71, 73, 75, 77 ... Solutions
HW#17: Section 9.3 (pg 486): # 1-4, 6, 8, 9, 12, 14, 15, 17, 19, 22-24, 31, 34, 37, 39, 42, 45, ... (Find eigenvalues and eigenvectors only for the next 3 problems.) ... 49, 53, 55, (Read facts on pages 479 and 480 to do the next 2 problems.) (Problems 63 and 65 can be skipped. They will be referred to later in Math 17C.) 63, 65, 71, 72, 75, 79 ... Solutions
HW#18: Section 9.4 (pg 500): # 2, 4, 5, 7, 10, 12, 16, 17, 23, 26, 27, 30, 31, 35, 39, 42, 43, 47, 53, 55, 58, 59, 62, 63, 65, 66 ... Solutions