Math 21A 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 2.1 (pg 63): #(See average rate of change definition on pg 60) 2, 4, 5 ... Worksheet 1 ... Solutions

HW#2: Section 2.2 (pg 73): #1, 2, 3, 5, 15, 21, 22, 24, 27, 30, 33, 37, 40, 53, 64, 65, 80, 81, 82 ... Solutions

HW#3: Section 2.4 (pg 90): #2 (Omit j & k), 3, 7, 12, 15, 17, 23, 24, 26, 27, 29, 34, 35, 36 ... Solutions

HW#4: Section 2.6 (pg 114): #(Use the Squeeze principle on the next 2 problems) 9, 11, 16, 20, 29, 30, 37, 39, 42, 44, 49, 50, 54, 57, 59, 62, 64, 67, 70, 71, 86, 99, 104 (For the four problems in bold, use intercepts, vertical/horizontal asymptotes, and tilted asymptotes to sketch graphs)... Solutions

HW#5: Section 2.3 ... Worksheet 3 ... Solutions

HW#6: Section 2.5 (pg 101): #(For the first three problems, clearly state and give brief reasons where each function is continuous) 16, 20, 42, 43, 44 ... Worksheet 2 ... Solutions

HW#7: Section 3.1 (pg 125): #1, 2, 3, (Use the limit definition of the derivative to find all derivatives) 5, 8, 12, 18, 22, 24, (Find f'(0) or show that it DNE) 33, 34, 38, 39 ... and ... Section 3.2 (pg 131): # 6, 11, 13, 27-30, 32a, 44, 46, 47 ... Solutions

HW#8: Section 3.3 (pg 143): #2, 7, 8, 17, 20, 31, 42, 46, 51, 52, 55, 57, 59, 66 ... Worksheet 4 ... Solutions

HW#9: Section 3.4 (pg 152): #1, 4, 7, 10, 12, 15, 20A, 26, 29 ... Solutions

HW#10: Section 3.5 (pg 159): #1, 2, 9, 12, 13, 20, 24, 34b, 36, (Find points only) 44, 46, 47, 48, 52, 54, 58, 59 ... Solutions

HW#11: Section 3.6 (pg 167): # (Use chain rule shortcuts. Do not simplify answers) 9, 15, 17, 22, 33, 36, 40, 43, 48, 50, 58, 61, 63, 66, (Simplify answers for the next three problems) 71, 74, 77, 89 ... Solutions

HW#12: Section 3.7 (pg 174): # 1, 4, 6, 9, 16, (Simplify answers for 21 & 24) 21, 24, 39, 41, 44, 47, 53 ... Solutions

HW#13: Section 3.8 (pg 185): # 11, 16, 19, 20, 22, 25, 28, 30, 32, 37, 39, 40, 51, 54, 59, 61, 65, 66, 68, 71, 74, 82, 85, 86, 90, 93, 96 ... Solutions

HW#14: Section 3.9 (pg 191): # 2, 3, 5, 11, 15, 16, 17, 18, 21, 24, 27, 29, 34, (Simplify answers for the next three problems) 36, 39, 41, 42, 43, 44 ... Solutions

HW#15: Section 3.10 (pg 197): # 20-25, 27, 31-34, 36, 39 ... Solutions

HW#16: Section 3.11 (pg 210): # 1, 3, 6ade, 15, 16acd, 17a, 51-55 ... and ... Use differentials to estimate the exact values of (and a calculator to determine a percentage errors) of 1) sqrt{90} 2) 2.0002^{25} 3) cos(0.01) ... Solutions

HW#17: Section 4.1 (pg 229): (Setup a sign chart for f' to determine the absolute and relative maximum and minimum values of f) # 53, 57, 61, 63, 65 ... and ... Section 4.3 (pg 241): (Setup a sign chart for f' to determine the absolute and relative maximum and minimum values of f) # 4, 5, 28, 33, 41 ... Solutions

HW#18: Section 4.4 (pg 251): (Follow the instructions from the Detailed Graphing Handout) # 1, 2, 10, 17, 21, 23, 29, 30, 33, 41, 52, 58 ... Solutions

HW#19: Section 4.2 (pg 237): # 1, 2, 5, 6, 9, 11 (and find c), 16 (and find c), 39-41, 51, 52, 66 ... Solutions

HW#20: Section 4.6 (pg 268): # 1, 2, 4, 5, 7, 9a, 11, 12, 14, 19, 20, 38, 52 ... Solutions

HW#21: Section 4.5 (pg 261): # 7, 10, 13-15, 18, 20, 21, 24, 26, 27, 29, 32, 34, 35, 41, 44, 46, 53, 56-60, 79 ... Solutions

HW#22: Section 4.7 (pg 277): # 2, 4, 6, (For the next problem, first verify the existence of intersection point using the IMVT) 22, 25 ... Solutions