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My Midterm Exam Prep Seminar for Math 1500 is Saturday, October 25. It is NOT on campus. It is held at Canadian Mennonite University, on the SOUTH side of Grant Ave., at 600 Shaftesbury Blvd. In the Lecture Hall. It costs $20 if you bring my book to the
seminar, or $40 without a book.
Even those of you taking the course by distance (and who therefore do not have a midterm exam) should consider attending the seminar since it will be a good review of the course so-far.
Did you read my tips on how to study and learn Math 1500? If not, here is a link to those important suggestions: These are tips for the assignment in the Distance/Online Math 1500 course, but I strongly recommend that you do this assignment as homework even if you are taking the classroom lecture section of the course. These assignments are very good (and
challenging) practice. Here is a link to the actual assignment, in case you don't have it: You need to study Lesson 5 (The Differentiation Rules), Lesson 6 (Implicit Differentiation), Lesson 7 (Related Rates), and Lesson 8 (Log and Exponential
Derivatives) from my Intro Calculus book to prepare for this assignment.
Don't have my book? You can download a free sample of my book and audio lectures containing Lessons 1 and 2: A good runthrough of your differentiation rules as taught in Lesson 5. Classic implicit diff as taught in my Lesson
6.
Classic implicit diff as taught in my Lesson
6.
A very challenging higher-order derivative like I discuss in Lesson 5, question 4. Be very careful. Don't miss your product rules and don't lose track of your minus signs. Be sure you
take a moment to simplify f'(x) before you proceed to f''(x). Then, simplify f''(x) before you proceed to f'''(x).
Make sure you have studied Lesson 8 in my book before you do these derivatives. Especially make sure you have studied how to do var-to-var problems as taught in Lesson 8, questions 1(n) to
1(q).
THERE IS A TYPO IN PART (C)! Contact the prof. I assume that is supposed to say sinx raised to the power of tanx.
This is a very challenging problem. Be sure to take a look at my Practise Problem questions 89 and 90 in Lesson 5 before attempting this question. The key is to label the point on the curve that is also on the tangent line as
(a, lna), where a is the unknown x -coordinate of the point of tangency. You can then say the slope of the tangent is f'(a), computing the derivative and subbing in a. But you can also find the slope using the two points formula (y2-y1 divided by x2-x1) since you have two points on the tangent line, (a, lna) and (0,1). You can then set those two results equal to each other in order to solve
a.
Classic related rates (Lesson 7) similar to my question 2 (but even easier)
Classic related rates (Lesson 7) similar to my question 5(a).
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