Math 16A 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 1.1 (pg 8): # 3, 4, 10, 13-16, 19, 23, 26, 28, 31, 32, 35, 36, 41, 43a ... and ... Section 1.2 (pg 21): # 3 , 5, 7-13, 15, 18, 20, 23, 29, 31, 32, 35, 38, 41, 44, 46, 48, 53, 55, 59, 60, 62, 63, 66 ... Solutions
HW#2: Section 1.3 (pg 33): # 2, 5, 6, 8, 14, 15, 21, 27, 31, 34, 38, 44, 47, 50, 51, 64, 67, 69, 81, 82, 83, 86, 88 ... and ... Section 1.4 (pg 45): # 45: 2, 5, 8, 12, 17, 18, 19, 22, 23, 26, 27, 30, 31, 32, 36, 38, 39, 42, 47, 54, 55, 60, 62, 63, 70, 72, 75 ... SA1, SA3 ... Worksheet 1: 1-10 ... Solutions
HW#3: Section 1.5 (pg 58): # 2, 6, 9-12, 17, 19, 22, 23, 29, 32, 37, 40, 42, 44, 47, 50-52, 56, 57, 59-62, 64, 68 ... SA2, SA5 ... Worksheet 1: 11, 12, 14-16, 19, 23 ... Solutions
HW#4: Section 3.6 (pg 228): # 1, 3, 4, 6, 9-16, 19, 22-24, 26-29, 31, 32, 37, (On the following six problems use x- and y-intercepts and vertical and horizontal asymptotes to sketch each graph. Do NOT use extrema or inflection points) 41, 43, 48, 52, 54, 56, 59, 63, 64 ... Worksheet 1: 13, 17, 18, 20, 26 ... Solutions
HW#5: Section 1.6 (pg 69): # 3, 5, 11, 14, 21, 25, 27, 30, 39, 44-46, 60 ... Worksheet 1: 21, 22, 24, 25, 27-29 ... Worksheet 2: 1 (Use a FAKE GRAPH and LIMITS), 2 ... Solutions
HW#6: Section 8.1 (pg 555): # 9, 10, 13-16, 21-24, 28, 30-34, 36, 37, 40, 41, 47, 48, 50, 53, 54 ... and ... Section 8.2 (pg 566): # 1, 5, 8, 10, 12, 26, 28-30, 47, 50-52, 55, 63, 65 ... and ... Section 8.3 (pg 575): # 9, 14, 16, 28, 32, 40, 59, 62 ... Worksheet 3: 1-4 ... ST1 ... Solutions
HW#7: Section 2.1 (pg 90): # 5-12, 14, (Use the limit definition of derivative on the next seven problems) 15, 18, 22, 25, 32, 34, 43, 49, 50, 51 (Use the limit definition of derivative to "prove" that y=x^{2/5} is not differentiable at x=0.), 52-54 ... Solutions
HW#8: I.) Find all points (x, y) on the graph of y = 4x-x^2 with tangent lines passing through the point (2, 5). You may assume that the derivative of y = 4x-x^2 is y'=4-2x ... Worksheet 4: 1, 2 ... SA7, SA9, SA10, SA11 ... Solutions
HW#9: Section 2.2 (pg 102): # 1, 4-20, 23, 26, 30, 31, 33-36, 40, 44, 45, 48, 49, 51, 53, 61, 65, 66 ... SA8, SA15 ... Solutions
HW#10: Section 2.3 (pg 116): # 1, 3, 6, 8, 12, 14-16, 32, 33cde, 43 ... SA6, SA12 ... Solutions
HW#11: Section 2.4 (pg 128): # 1, 3, 6, 8, 12, 25, 30, 32, 33, 37, 38, 45-48, 55, 57 ... SA17 ... Solutions
HW#12: Section 8.4 (pg 585): # 1-12, 39, 40, 43, 44 ... SA16 ... Solutions
HW#13: Section 8.4 (pg 585): # (Do not simplify answers. Do not use trig identities. Omit problems 13, 14, 22, 25, 26, 31. These will be covered later in Math 16B.) 15-21, 23, 24, 28, 36, 41, 46 ... and ... Section 2.5 (pg 138): # 17, 22, 23, 30, 38, 39, 49, 59, 64, 67, 70, 73, 74 ... Worksheet 5 ... ST6 ... Solutions
HW#14: Section 2.6 (pg 145): # 1, 4, 7, 11, 13, 16, 19, 20, 21, 24 (On next four problems solve f'(x) = 0 and f''(x) = 0 for x.) 34, 35, 38, 40, 41-43, 50abcde ... Gravity Problems ... Solutions
HW#15: Section 3.1 (pg 179): # (Set up a sign chart for y'. Clearly label critical points and y-values and identify relative maximums and minimums.) 2, 3, 6, 8, 14, 15, 18, 22, 23, 25, 27, 35a, 40a ... and ... Section 3.2 (pg 189): # (Set up a sign chart for y'. Clearly label critical points and y-values and identify relative and absolute maximums and minimums. Sketch the graph.) 5, 8, 16 (Also check for vertical asymptote.), 18 (Also check for horizontal asymptote.), 20, 21 (Use interval[-1, 2].), 23 (Use interval [-1, 4].), 44 (Change $100 to $25.), 45 ... Solutions
HW#16: Section 3.3 (pg 198): # 1, 6, 7, (Do Detailed Graphing using these INSTRUCTIONS for the next eight problems.) 15, 27, 29, 35, 39, 44-46, 65ab ... Solutions
HW#17: Section 3.7 (pg 238): # (Do Detailed Graphing using these INSTRUCTIONS for all problems.) 1, 2, 9, 17, 22, 23, 24, 34, 35, 40 ... and ... Section 3.2 (pg 189): # (Do Detailed Graphing using these INSTRUCTIONS for all problems.) 22, 23 ... and ... (Detailed Graphing using these INSTRUCTIONS for all problems except SuppTrig: ST2.) I. f(x)=sinx+cosx on interval[0, pi], II. f(x)=-\sqrt{3}cosx-sinx on interval [0, 2pi] ... ST2, ST3ab ... Solutions
HW#18: Section 2.7 (pg 152): # 1, 4, 6, 10, 15, 18, 22, 24, 30, 34, 36, 40, 45 ... and ... Section 8.4 (pg 586): # 47, 48 ... Solutions
HW#19: Section 2.8 (pg 160): # 2, 5, 6, 9, 10, 13, 17ac ... Worksheet 6 ... ST4, ST5 ... Solutions
HW#20: Section 2.8 (pg 160): # 16-20, 23 ... and ... Chapter 2 Review (pg 169): # 99 ... Worksheet 7 ... Solutions
HW#21: Section 3.4 (pg 207): # 1, 4, 6-9, 11, 13, 18, 20, 22 ... Max/Min Worksheet: I ... Solutions
HW#22: Section 3.4 (pg 207): # 14, 24, 25c, 26, 28, 35, 39 ... Max/Min Worksheet: II, III ... Solutions
HW#23: Section 3.5 (pg 219): # 19, 20, 23, 25 ... Max/Min Worksheet: IV-VIII ... Solutions
HW#24: Section 3.8 (pg 246): # 11, 12, 17, 37-39, 40-42 ... Worksheet 8 ... Solutions