Week 12 of m151
(§ 2, Mr. Lane)
17–21 April 2017

Math Learning Center (in Math 011) has tutors:
9am–4pm on Monday–Thursday and 9am–1pm on Friday

math@Mansfield (Library) has tutors: 6:30pm – 9:00pm on Sunday–Thursday

math@Mansfield (Library) has tutors: 6:30pm – 9:00pm on Sunday–Thursday

- Weekend: begin review for Test 4
- A
*Practice for Test 4*document was distributed Friday (14-Apr) and is posted on the class website (lennes.math.umt.edu/151/pdf). Solutions will be posted there Wednesday evening (19-Apr). - WeBWorK assignment
**Test-4-review**opened Friday (14-Apr) and closes Thursday evening (20-Apr) [with answers & solutions available after the assignment closes]. Solving 5 or 6 problems per day would be a reasonable pace.

- A
- Monday [d38] (17 April 2017)
WeBWorK:
RQ-10-1 closes at 10 am,
day-36 closes at 11 pm
- Review the first part of §2.5 (Examples 1–3), then
study section 10.1 (
*Composition of Functions*). - Work on these exercises & problems in section 10.1:
1,
**3**, 8, 13, 15, 21; 23, 25, 27, 35,**52–54**, 70, 71, 79 - Review pages 99–101 (last part of §2.5),
then study section 10.2
(
*Invertibility and Properties of Inverse Functions*) through Example 4. - Work on these exercises & problems in section 10.2: 6, 7, 9, 19, 29; 33, 35, 36, 41, 57

- Review the first part of §2.5 (Examples 1–3), then
study section 10.1 (
- Tuesday [d39]
WeBWorK:
RQ-10-2 closes at 10 am,
day-37 closes at 11 pm
- Resume study of §10.2 in the middle of page 407
(
*Graph, Domain, Range of an Inverse Function*).- Figures 10.12 & 10.13 (page 407) present some information about the relation between a function and its inverse. Figure 10.14 (page 409) has three panels to emphasize that.
- The
*Restricting the Domain*discussion (it begins on page 409) is important. Figures 10.15–10.16 illustrate an important example. To check your understanding of this matter, see whether you understand why the last two lines on page 404 are wrong.

- Work on these exercises & problems in section 10.2:
**1**, 11, 21,**23**, 25, 33, 35; 45, 49, 53, 56, 59,**67** - Study section 10.3 (
*Combinations of Functions*) with strong emphasis on discussions about two ways to obtain and interpret*A Measure of Prosperity*by comparing P(t) = [population] and N(t) = [number who can be fed].- difference: S(t) = N(t) − P(t) this surplus is discussed on pages 415–416
- quotient: R(t) = N(t) / P(t) per-capita food supply, see page 418

- Work on these exercises & problems in section 10.3:
9–10, 17, 18;
25, 29, 31,
**33**, 35, 37,**45** - Anticipate a quiz.

- Resume study of §10.2 in the middle of page 407
(
- Wednesday
WeBWorK:
day-38 closes at 11 pm
end-of-chapter review problems to solve during your review for Test 4 Chapter Exercises Problems Check Your Understanding **7**(pp 314–321)9, 11, 13, 15–18 55, 56, 68 1–4, 66, **67–68**, 69–72, 75, 77, 79**8**(pp 349–352)5, 9, 11, 15,, 19 & 21 25, 27, 31, 33, 35, 37 1, 3, 4, 7, 10 & 11, 15, 16, 17, 18 **9**(pp 393–6)3, 5, 8, 9, 11 17, 19, 21, 26, 27, 33, 35, 41, 45 5, 6, 7, 13, 14, 21, 27, 28 **10**(pp 424–430)1, 4 & 5, 13, 15, 27 53, **62**, 65, 66 & 67, 692, 4, 11, 13, 14, 15, 19, 23, 27, 28 - Thursday WeBWorK: Test-4-review closes at 11 pm
- Friday (21 April 2017) —
**Test 4**: emphasis on §7.7–7.8, chapter 8, §9.1–9.3, §10.1–10.2.- The test paper will include the same list of trigonometric formulas
shown on first page of our set of practice questions.
You will also need to
**remember**a variety of other important facts such as- sin(t)
^{2}+ cos(t)^{2}= 1 is an**identity**. - Cosine is an
*even*function while Sine and Tangent are both*odd*functions. - Radians are the conventional unit for input to sin, cos, tan.
Unless degrees are specified,
you should presume radians are being used.
Similarly — output from sin
^{−1}, cos^{−1}, tan^{−1}is presumed to be in radians. - Sine and Cosine have period
*2π*; Tangent has period*π*. - sin(π/6) = 1/2 = cos(π/3)
- sin(π/4) and cos(π/4) have the same value, square-root of one-half.
- tan(θ) = sin(θ)/cos(θ) is slope of line and sec(θ) = 1/cos(θ)

- sin(t)
- You may use a non-symbolic graphing calculator during the test. (Hint: check your batteries.)
- Other electronics (phone, music player, tablet, computer, etc.) must be turned-off and put-away.

- The test paper will include the same list of trigonometric formulas
shown on first page of our set of practice questions.
You will also need to

© Richard B Lane
Last modified: 13 April 2017, Thursday 20:10