PreCalculus 49A Assignments
Assignments for SPRING 2008 will be posted here as the quarter progresses.
Homework consists of both reading the assigned section in the textbook and doing the assigned homework problems.
Assigned problems may be from the textbook, or may be from a webhandout with a link on this page, or may be from a handout distributed in class.
For homework from textbook: odd numbered problems have answers in the back of the book.
Do the problem, then check your answers. If your answer does not check, rework the problem to find your error
Some but not all homework is collected; collected homework may be announced ahead of time in class or homework may be collected randomly, unannounced.
For collected homework to be considered complete, work must be shown for each problem to support how you obtained the answer.
Review of Interval Notation: At bottom of Interval Notation handout.
Appendix A5 at end of textbook: Solving Equation:
Quadratic Equations (Review): 45, 55, 61, 63, 103, 107, 113, 131
Polynomial Equations 135, 137, 141, 147, 148, 151, 143, 144, 145,
Equations with Rational Expressions 39, 41, 43, 171, 175
Equations involving Radicals: 153, 155, 157, 159
Equations with Rational Exponents 163, 167
Absolute Value Equations 179, 180
Section 1.3 Review of Slope and Graphing Lines: 1-4, 9-12, 21-24
You should be able to do these questions from section 1.3 using skills learned in elementary algebra. If you have forgotten this and need help, go to the Algebra table in the tutorial center for help in reviewing this material.
Print out the Notes for Introduction to Graphs and Functions from the link on the on the Math 49A homepage or using the link below:
http://nebula.deanza.edu/~bloom/M49A/M49aIntroFunctionGraph.pdf
Bring these webnotes to class every day until we have finished those sections in the textbook
Section 1.1: 25, 31, 33, 35, 47
Section 1.2 Assignment A Circles: 57 - 69 odd
Section 1.2 Assignment B Graphs and Symmetry: 3, 7, 21-24, 25-31odd
Assignment sheet for 1.4 through 1.9 was handed out in class and is also posted at the link below.
http://nebula.deanza.edu/~bloom/M49A/M49A_HW_TheoryOfFunctions.pdf
Section 1.3
Finding equations of lines: 39, 41, 45, 47, 51, 53, 69, 75
You should know this from algebra, but you need to become expert in this to survive calculus.
Know how to find the equation both in point-slope form and in slope intercept form, even through the instructions only specify slope intercept form.
Applications
93, 95, 101,103, 107, 108, 109, 112, 113, 114, 116, 117
Assignments for sections 1.8, 1.9 were on the first homework handout for Theory of Functions
Assignments for section 2.1 was on a homework handout for Quadratic Functions
Assignments for section 2.2 was on a homework handout for Graphing Polynomial Functions
See instructor for handout or copy the handout from a classmate.
Section 2.3 Do as many of the following as you need to in order to master Polynomial Long Division which you should have learned in algebra, so this should be review: 1, 2, 7, 9, 13, 37, 38, 47, 59
Section 2.4 Complex Numbers: 17 to 49 ODD only, except omit 35 & 45
Section 2.5 Fundamental Theorem of Algebra Do problems on handout distributed in class and posted at link below
Homework handout: http://nebula.deanza.edu/~bloom/M49A/M49APolyFTAHW.gif
Answers to Fundamental Theorem of Algebra homework are posted on Math 49A Solutions page
Section 2.7: Solving Polynomial Inequalities: 17, 11, 13, 15, 21, 23, 25, 29, 31, 55, 57, and Section 1.4 #63
The material for exam 2 ends here.
Section 2.6: Rational Functions: 1 through 25 odd,
29 - 37 odd, 41, 45, 51, 53, 55, 57
Section 2.7: Solving Rational Inequalities: 37, 39, 41, 47, 59, 60
Chapter 3 Exponential and Logarithmic Functions:
Graphing Packet handed out in class
Graphing Packet solutions are posted via links on Math 49A homepage and Math 49A solutions page
Section 3.1: 5, 7 thru 10, 17, 19, 21, 27, 29, 31, 63, 65, 66, 67, 68ab
Section 3.2 3,5,7,13,17,21,23,29,33,35,69, 45 thru 59 odds, 65, 67
Section 3.3: 9, 13, 15, 17, 25 thru 37 odd, 45 thru 75 odd
Section 3.4: Do problems below
25, 37, 39, 96, 96
and Exponential Equations 29, 33, 41, 43, 45, 49, 53, 55, 56
and Logarithmic Equations 81, 83, 85, 87, 93, 97, 98, 99, 100
Also practice for intersections of exponential functions
(A) 8(1.02^x)=4(1.05^x)
(B) 1250(2^x)=250(3^x)
(C) 260(1.08^x)=3250(1.05^x)
(D) 12(5^-x)=6(2^x)
(E) 45(2^x)=3(10^x)
Also additional practice for logarithmic equations
(F) log x = 3 - log(x - 15)
(G)log 2x - log(x-3) = 1
(H) log [base 8](x) + log [base 8](x-12) = 2
(I) log [base 3](x) = 4 - log[base 3](x-24)
(Note that the [base 3] or [base 8] in (H) or (I) usually appears as a subscript, but I can't format it properly on this page. The input to the log function is inside the parentheses( ). The base that belongs in the subscript is inside the square brackets [ ].
(Sorry about the additional problems - the textbook gives no or few problems of these types to practice.
Solutions to additional practice A through E http://nebula.deanza.edu/~bloom/M49A/M49AEqExpHWABCDE.gif
Solutions to additional practice F through I http://nebula.deanza.edu/~bloom/M49A/M49AEqLogHWFGHI.gif
Homework for Graphing Packet and sections 3.1 thru 3.4 above will NOT be collected
Homework for Applications of Exponential and Logarithmic Functions below will be collected
This will be an 8 point homework and will be the last collected homework for the quarter.
SHOW YOUR WORK neatly and legibly - it will NOT be sufficient to just copy answers from the back of the book, as many of you clearly did for section 2.7 homework. You will not get full homework credit if it is not clear to me when I grade it that you did the work.
We are only covering some of the many applications presented in section 3.5
Exponential Growth and Decay are very important applications of exponential functions, and a variety of uses of these models are considered in the assigned problems
Exponential Growth Models
Section 3.1: 63, 65
Section 3.5: 17 part a (annual compounding only), 19 only with 4%, 6%, 10%, 37 thru 39
Optional Practice Problems: 3.5 # 40, Page 274 # 143, 144, 145; Page 275: #27
See also link below practice problems for exponential decay for more practice with solutions
Exponential Decay Models
Section 3.1: 68
Section 3.5: 27, 35, 36 parts a&c for Bulgaria & China only, 41a, 42, 43ab
Additional Problem A1 for Radioactive Decay:
If 37% of a radioactive substance has decayed after 5 hours find the half-life of this substance.
Hints for Additional Problem A1 above: Hint #1: If 37% has decayed, this means that what percent of this substance still remains?
Hint #2: This is a really a two part problem. First find the exponential decay model; then find the time at which only half the original amount remains.
Hint #3: The initial amount is not important – pick any positive number or just use the letter "a"
Optional Practice Problems: 3.1 # 68, 3.5# 25,26, 28, 29, 30, 44ab
Page 274 #146, 148
link below to 4 more optional practice problems for exponential growth and decay that are not from the textbook, with their solutions.
http://nebula.deanza.edu/~bloom/M49A/M49AExpAppsPracticeProbAns.pdf
Two Important Applications of Logarithmic Functions
Earthquakes: Section 3.5: 51 a,c & 52 a,c
pH: Section 3.5: 57, 58, 59, 60
Chapter 10 Homework is NOT being collected, because after the Mini-Test you will need it to study for the final exam, rather than me having it to grade it. You should do the homework - there are 3 types of skills in section 10.2, 10.3, 10.4, practice problems in (1) drawing the graphs when you know the equations (2) finding the equations and drawing the graph when you are given characteristics of the conic section, and (3) applications problems as listed.
Chapter 10.2 Do ODD problems only for 5 - 19, 23 - 49, 61, 63
On page 801 do #19, 20
Chapter 10.3 Matching graphs and equations 1 through 6
Do ODD problems only for 7 - 13, 19 - 27, 37, 39, 43 - 57
On page 801 do #25
Chapter 10.4 Matching graphs and equations 1 through 4
5,7,9,11,13,14,
19 (do NOT graph 19 on your calculator)
21, 23, 27 - 27 odd
Chapter 10.5 Rotation of Axes: READ page 759
Do problems 33 - 39 odds PART A ONLY for these problems.
(If you need extra practice 34 - 40 part a evens are appropriate)
Appendix A6 Absolute Value Inequalities: Page A 67: 49 - 59 odds.
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