Mrs. Brown's Calculus Connection

Notebook file from today’s lesson……7.2 Ink-area between curves

6.3 inkk to see the notebook file with the classroom examples that we finished today.  Good luck with integration by parts.

We went over the exercises 6, 10 14.

We did numbers 15, 21, and 22.

Try to do pat 2 of #21.  You have to use the tangent function to see how the angles is changing as the rope is pulling in the boat.

Happy New Year!

Keilah and Morgan

Today in class, we reviewed the derivatives of the exponential and logarithmic functions.  Click here to see the 3.9 -ink- Jan 3with examples.  We also reviewed the derivatives of the inverse trigonometric functions.  Students completed p. 170, # 35-40 to turn in (standardized test practice).  Homework is p.  178 1-28 even and/or odd as needed, and 38-42 even.

Check out this link to see the answers to the homework from Section 3.4 on p. 136.  STUDY!!!!!!!INk p. 136 Section 3.4 Homework

There is a review sheet for Chapter 2 in my Moodle.  We will have an exam on Tuesday on Sections 2.1-2.4.  The assignment is listed in the review.

We will have a test on Chapter 1 on Tuesday, which is our test day, day 6.

You should complete the chapter review questions which can be found on page 56-57 in your textbook.  Complete the problems:  1, 4, 5, 7, 9 ,11, 15-18, 19-25 odd, 33, 35, 39

There will be a quiz on Wednesday on Sections 1.3 – 1.5.  Here is a list of the material that you should know.

Sections 1.3 – 1.5

You should be able to:

Section 1.3

1. Define an exponential function
2. Recognize exponential growth or exponential decay
3. Graph exponential functions
4. Use rules of exponents to simplify expressions and write expressions with the same base
5. Find the zeros of an exponential function
6. Problem Solving with exponential functions
7. Find the exponential regression for a set of data

Section 1.4

1. Given two parametric equations, find a Cartesian equation for the curve
2. Graph the curve; label the initial and terminal points, if any; indicate the direction that the curve is traced
3. Recognize circles, ellipses, line segments

Section 1.5

1. Determine whether a function is one-to-one using a graph or algebra

(horizontal line test)

1. Find the inverse of a function and write the domain and range
2. f(f ^-1(x)) = f ^-1(f(x)) = x
3. Know and use the properties of logs to solve equations
4. Write exponential equations as logarithmic equations
5. Write logarithmic equations as exponential equations
6. Graph logarithmic functions.
7. Problem solving

Peyton,

Go to my Moodle and watch the video on Parametric Equations.

Then, watch this Jing video on today’s lesson.  The homework is p. 34 , #4-6 from the Quick Review section and try Exercises 5 and 9.

I put class notes – in a Jing format, which is a video – in my Moodle in the class note section.  There are notes on even and odd functions, and on piecewise functions.  There are other links for composition functions in the MOODLE.  If you have been absent because of field hockey and tennis, go to my Moodle for these references.