For Friday, May 17:

If you want some practice problems In the zeta homework file, on the worksheet Trig Identities 3, some good practice problems are problems 30, 31, 37, 38, 39 and 42. I will not collect any homework tomorrow and anyone who wants to start the in-class opportunity may.

For Thursday, May 16:

59 and 60 from the same worksheet we worked from yesterday. Also, 38 and 41 from the problems below.

For Wednesday, May 15:

On the same worksheet, do problems 53, 57, 58, 59 and 60.

For Monday, May 13:

On the new worksheet that I handed out in class (starts with 41 goes through 60), problems 43, 45, 46, 50, 52 and 55.

For Friday, May 10:

On the worksheet I handed out in class, do problems 17, 19 - 21 and 23. You may find 23 difficult. Don't sweat it, do what you can do, but give it a real try.

For Thursday, May 9:

Simplify the expressions in 21 - 30 below.

Remember the three guidelines:

• 1. look for Pythagorean identities;
• 2.

For Thursday, May 2:

OK, leet's try something

For Wednesday, May 1:

OK, let's try graphing another sine curve that models a waterwheel.

It takes 64 seconds for a waterwheel (this one powers a grain mill in upstate New York) to make a complete circle. The wheel itself is 16 meters in diameter. At its lowest point, the wheel goes 3 meters under water. Find and graph a function for the rotation of the water wheel. Consider the surface of the water your base or zero line. Also, the marker on the wheel that you are basing your function on is 9 meters high and headed upward, when you start your cycle at t = 0.

There will be a horizontal shift in your function whether you use a sine or cosine curve, but you may use either.

For Thursday, April 25:

Find the sinusoidal function that models one of the following two situations. Also, graph your function, and confirm that it is consistent with your equation.

1. A Ferris wheel that is 120 feet in diameter takes 48 seconds to complete one revolution. The platform for climbing into the ferris wheel at its lowest point is 7 feet high. You can set the position of the ferris wheel at t = 0, but be sure it is consistent with your equation and graph.

2. The tides in the harbor at Damariscove Island in Maine vary by 12 feet in depth. At dead low tide, you measure the depth of the water as 4 feet. Low tide was at exactly 6 am, and it takes 12 hours for the tide to come in and go back out again. Using either the cosine or the sine, find an equation that models the depth of the water and graph your function, with t = 0 at noon.

For Wednesday, April 24:

1. From the following, graph 2, 3, 6, 8 and 9. Graph each on a different set of axes. Make the scale large enough so we can see what is going on. None of these has a period other than 2π, so each can be graphed for the most part using the main angles (0, π/2, π, 3π/2 etc.) on the x-axis.

2. What are the period and the amplitude of the functions in 15 and 16?

For Monday, April 22:

Given what you know about function values of the tangent function, see if you can draw a graph of the tangent function from -3π/2 to 3π/2. Keep in mind what we learned when graphing rational functions about what happens at x values that give you zero in the denominator, and the fact that tanx = sinx/cosx.

Also HAVE A GOOD WEEKEND!!!!!!!!

For Thursday, April 18:

Finish the graphing the sine worksheet, for both the sine curve and the cosine curve.

For Wednesday, April 17:

No homework tonight (boo hoo). Tomorrow we will begin graphing our trigonometric functions.

For Thursday, April 11:

On the worksheet, "Trig Function Values -- 2" which is in the Zeta homework folder that I shared with you.

For Friday:

Since we spent our time discussing sex and drugs, no new homework tonight.

For Thursday, March 14:

Do problems 48 - 50 and 52 - 53 below.

For Wednesday, March 13:

1. A playground that is a right triangle with an angle of 30˚, has a shortest side that is 100 yards long. What are the other sides of the playground?

2. Mr Richardson is flying a kite whose string is at a 30˚ angle to the ground. If he has let out 150 yards of string, how high is the kite?

3. You walk 45 paces away from a building until you reach a place where the line of sight to the top of the building is 45˚. How high is the building?

For Monday, March 11:

Finish filling out the chart below.

Also, given a 30 - 60 - 90 right triangle with the leg opposite the 30˚ angle equal to 23, what are the lengths of the other two sides of the triangle.

Given a 45 - 45 - 90 right triangle, with a hypotenuse of 15, what is the length of the two

For Friday, March 8:

For the following triangles, find the sine, cosine and tangent of the smallest angle, and then the sine, cosine and tangent of the other angle that is not 90 degrees.

How do you know which is the smallest angle??????

1. A triangle with a hypotenuse of 5 and one side of 3.

2. A triangle with two legs that are 7 and 24.

3. A triangle with a hypotenuse of 13 and one leg that is 12.

4. A triangle that has legs of 8 and 15.

For Friday, March 1:

To review try the following problems from the packet.

1. The investment problems on page 1 and 2.

2. Page 341, 4, 8 and 12.

3. Page 380, problems 8, 11 and 15.

4. All of the evaluating logarithms problems.

5. Any of the "re-writing" problems.

6. Any of the expanding and condensing problems.

7. Any of the "calculation" problems.

8. Any of the "solving logarithmic equations" problems.

Also, below is a list of topics.

For Monday, February 25:

In the packet, finish the two pages of Logarithmic equations. You can do your work on the packet pages.

For Friday, February 15:

1. In the packet, on the page that instructs, "Use the properties of logarithms to evaluate each expression," do [problems 36 - 41.

2. On the next page, with the instruction, "Write each logarithmic expression as a single logarithm,"do 13 - 18.

3. Under "Expand each logarithm," do 25 - 30.

For Thursday, February 14:

Happy Valentine's Day.

On the next page in the Exponential and Logarithm packet (problems 3 - 8 at the top), do problems 3 - 8 just a. Do not forget to copy the problem on to your work.

For Wednesday, February 13:

Find the annual percentage yield for the following 4 investment options:

• 1. An investment of $1,000, compounded continuously, at 6% APR (annual percentage rate).
• 2. An investment of $6,000, compounded weekly at an APR of 6.8%.
• 3. An investment at 4% APR, compounded monthly.
• 4. An investment of 7% compounded annually.

For Friday, February 8:

From the packet that I handed out in class today, from the section 3.6 exercises, do problems 26, and 28. Then on the back side (page 380), do problems 7, 12 and 14.

For Thursday, February 7:

On the problem set handout I gave you, do problems 9 - 12. These are all continuous compounding problems. Recall, continuous compounding uses A = Pe^rt. ALSO, do 11, 13, 14 and 15 ("world population", "infectious bacteria" and half-lifes). I have also posted the problems here.

For Wednesday, February 6:

From that same worksheet, problems 5 - 8, from the section exercises, not the Quick Review.

For Thursday, January 31:

On the exponential problem sets I have handed out, do problems 1 - 4 on page 341. You may use your calculators to calculate final values if you wish, but be sure to show all work that leads to your final calculation.

For Wednesday, January 30:

On the worksheet that I handed out, page 337, do problems 39, 40, and 44. Then, see what you can do with problem 6 (Frog Population) on page 380.

For Monday, January 28:

No new homework. I am soooo sorry.

For Friday, January 25:

Complete the exponential operations worksheet that we were working on in class.

For Thursday, January 24:

• We have an in-class opportunity. You should be able to handle any of the following problems. Problems 11 - 14, 33 - 64, 81, 82 and 83b.

For Thursday, January 10:

Graph the following four rational functions:

For Wednesday, January 9:

HAPPY NEW YEAR!!!!!

First off, I found Chima, Ryan and Alicia's in-class opportunities so everyone can relax.

For homework, graph the functions in problems 1 and 3 on the following worksheet.

For Tuesday, December 18:

We will finish the in-class opportunity.

For Friday, December 14.

Keep working on the review packet. We will work on it in class and I can answer any questions you have. On Monday and Tuesday we will take the in-class opportunity on polynomials.

For Thursday, December 13:

From the following set of problems,for the graphs I through vi, identify whether the exponent of the leading term of the polynomial is odd or even and whether the leading coefficient is positive or negative. For problems 24, 25, 26, 27, 28, 32, 33, 37 and 38, describe the end behaviour (use the notation with arrows that we used in class, as x ---> , y ---> . Finally, on graph paper, sketch a graph as accurately as you can using all the tools we have of the polynomial in 23.

For Wednesday, December 12:

What to do with you guys? Alright, we have been talking about the extremes of the x-axis, which we agree means when |x| is really really big, like in the ten millions at least. Think about what happens with graphs of polynomials, and see if you can fill out the chart that I have put here.

For Thursday, November 1:

On the quadratics work packet, page 263 (the third page in the worksheet), problems 7 - 18. Factor the expressions, do not try to solve for x.

For Tuesday, October 30:

I would have given you an assignment, but I forgot to hand out the worksheet, so I guess you get a day off.

For Monday, October 29:

Write down everything you know about quadratics.

For Friday, October 12:

Problems 48 and 50 below:

For Friday, September:

On the packet, problems 69 - 71.

For Thursday, September 27:

Do the assignment from the previous two that you did not do for today's class.

For Wednesday, September 26:

• From the following worksheet, problems 16, 17, 20, 21, 22, 24, 25, 27, 29, 31 and 33.

For Thursday, September 20:

From the problem set below, for 33 and 34, find the inverse for each function, then graph (yes, graph paper) the function and the inverse on the same set of axes (one set for each problem). What do you observe?

For Wednesday, September 19:

• From the following problem set, do problems 31, 32, 35, 36, 37, 38, 41 and 45.

For Thursday, September 6:

• Given the two things we know about even functions, see if you can figure out which of the following functions are even. As a reminder, we know that even functions are symmetric around the y-axis, and we know that for even functions f(-x) = f(x). Explain or show work that justifies your conclusion.

For Wednesday, September 4:

• Sadly, we do not have class until Wednesday. If you do not think you can make it that long, you can always come to my office to talk a little math.
• On page 168 of the problems packet, graph the piece wise functions in problems 38, 41, 43, 44 and 46. Also, do problems 83 and 84 on page 169.

For Friday, August 31:

• Finish the worksheet that we were working on in class.
• From the packet, in section 2.2 (page 167), do problems 23, 24, 25, 26 and 55-60. These all involve reading graphs. You do not have to copy the graphs onto your homework paper.