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