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Try a Free Sample of Grant's Audio Lectures
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Don't have my book or audio lectures? You can download a sample containing some of these lessons here: Did you read my tips on how to study and learn Math 1700?
If not, here is a link to those important suggestions: These are tips for the first assignment in the Distance/Online Math 1700 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.
It is possible that you are doing the topics in a different order in the classroom lecture sections, so you may need to wait until later before tackling this assignment. Here is a link to the actual assignment, in case you don't have it: Note that you need to study Lesson 1 (Inverse Trigonometric Functions), Lesson 2 (The Fundamental Theorem of Calculus), and Lesson 3 (Riemann
Sums) from my Calculus 2 book to prepare for this assignment! I think you should find this assignment fairly straightforward if you do thoroughly study and do all the Practise Problems I give you in these lessons.
Make sure that you study Lesson 1 of my book first. Although it is not directly involved in Assignment 1, it provides some key skills (especially the trigonometry review) you will need throughout the course and
assignments. Personally, I would merely skim through Lesson 3. It is rather annoying and tedious, and is not likely to appear on exams. It is absolutely imperative that you thoroughly study Lessons 2 and 4 in my book, to prepare well for this assignment.
This is a right Riemann Sum similar to my Lesson 3, question 1. Of course, only do a right Riemann sum; do not do the left Riemann sum.
This is a complete Riemann Sum similar to my Lesson 3, question 3. Do note that you can check your answer by solving the appropriate definite integral. Do this question open book.
Be careful. This also is a Riemann sum problem. You have to do exactly the same thing you did in the previous question.
Now you are just solving definite integrals, similar to the methods illustrated in my Lesson 2, question 1.
Hint: (A+B)/C often benefits from being rewritten as A/C + B/C (i.e. split the numerator up into separate fractions, then
simplify each fraction).
Now you are exploiting the Fundamental Theorem of Calculus to solve these derivatives, similar to the methods illustrated in my Lesson 2, question 2.
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