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8/21–photocopied pg. 266: 19, 20
8/20–A couple of you had questions about #13 (“rpm” means “revolutions per minute”, i.e. the number of rotations in one minute..one rotation is 36o° or 2π radians). Minor assignment scheduled for tomorrow: convert degrees to radians, area of a sector, arc length, (Key: Θ = s/r). Will go over 13-15 tomorrow before the quiz.
8/16–Length of an arc (s= Θr, if Θ is in radians; (Θ/360)* (2πr), if Θ is in degrees). Area of a sector (a sector of a circle is the region of the circle bounded by two radii and an arc of the circle, think “slice of pizza”) If Θ is in radians: (Θ/2)* r² or (sr/2)..Which formula to use? Well, it depends on information given in the problem. Remember: anytime you are using radians, think Π. Homework: pg. 265, 3-10 (photocopied, old book). Maybe quiz tomorrow–converting from degrees to radians and vice versa; co terminal angles. Check your book, 328 #71.
8/15–pg. 335 (x3–this means “multiples of 3”); 29-30, all (follow directions).
8/14–For the hwk, use the formula Θ = s/r (definition of radian measure; formula may be manipulated as needed REMEMBER: Θ MUST BE IN RADIANS in order to use the formula .) , pg. 325–25-33 (odd); 35-38 (# 37 was discussed extensively in class this morning, thanks to Danielle P. who took the initiative to do the prob last night :) )
8/13–pg 325: 1-24 (all; you may use a calculator, although not needed (1-8). For probs 9-16, you want the degrees to cancel, so multiply by (π/180º); for 17-24, multiply by 180º/π, cancelling the π. For #23, “2” means ” 2 radians” (remember that π radians ≅ 3.14 radians–think “unit circle”). See formulas pg. 322
8/10–Read 4.1– Any time you have a reading assignment, pay attention to formulas and the main ideas/concepts (highlighted in blue rectangles), new vocabulary (boldface) as well as the marginal notes (annotations)…Every section begins with “What you will learn about” followed by “why”..(I will not repeat this info going forward)., pay attention to examples (in this case, exs. 1, 2, and 3).
8/21-Later than I expected (Carter and Celia, pls remind me to do probs 83-84, pg. 66..overdue). Now, for continuity: pg. 76: 13, 14, 25-32; 34-48 (even)
8/17–Homework Quiz on Monday (remember these count for 20% of your grades)..All the probs have been either assigned for hwk or discussed in class, short quiz, I expect most, if not all to well; I think you are ready, don’t disappoint me. I hope to return your graded quizzes Tues so that we may have a minor assignment (a bit longer, 30%) on Wed 8/22 —I will not give you a minor assignment unless I have finished grading the quizzes! Those of you who have had me before know that I like to return assessments ASAP. We will tied up a few loose ends on Mon before the quiz (such as the hwk assignment given on 8/15, how to graph piece wise functions in the calculator (C4, the last prob we did was input incorrectly, which is we were getting only one graph which appeared to be continuous at x= 0; we’ll correct this on Monday (remind me Celia, Olivia or if your name ends in “ia” Tia?)
8/16–Quiz postponed–Monday, 08/20 (sorry to disappoint you,Noor et al, but I’d like to look at a few more problems from other books, and start on “continuity” and piece wise functions).. Suggested by Carter: (use your calculator so that you may have a better understanding): pg. 66: 89-84 (In physics and engineering the algebraic function that multiplies a trig function( either the sine or the cosine, why?) is called the “damping factor” and acts as the “amplitude” (remember graphing y=a sin (x) where “a” is constant? Well, you were doing a variation of the “squeeze”/”sandwich”/or “pinching” theorem (depending on the book you are using–“Squeeze” is by far the most common and logical)–I think I will name it the “Carter Nugent” theorem, at least for now or the “Adrija” Theorem). PLEASE READ 1.4, paying attention to boldface terms and main (boxed off in rectangles).
8/15–pg. 67–101-104 (compliments of Dr. Bouchon ; don’t spend too much time on these problems, however), #122; “Getting at the concept” (95-98).
Tomorrow we will finish going over probs 83-86, pending from 8/14, address the hwk for today and look at how other authors approach ” limits” and work probs from other sources. Quiz on Friday! Don’t despair…yet!
8/14–pg. 66: 67-86
8/13– pg. 66: 56 -62 (care to comment anyone? For those of you who have been reading ahead (or at least have led me to believe that you are reading ahead), do these probs look familiar? )
8/10–Read pp. 50-51; do pg. 55: 9-18 (graphic interpretation); pg. 65: 27-34 ( time to review the trig values of special angles..unit circle, ASTC), 41-44; 49-52