Math 1700 Distance: Tips for Assignment 2

Published: Tue, 09/29/15

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Did you read my tips on how to study and learn Math 1700?  If not, here is a link to those important suggestions:

Did you see my tips for Assignment 1? Click here.
Tips for Assignment 2
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:

Study Lesson 5 (Area Between 2 Curves), Lesson 6 (Volumes), Lesson 7 (Integrals of Trigonometric Functions), and Lesson 8 (Integration by Parts) from my Calculus 2 book to prepare for this assignment.  Study these lessons thoroughly first, then attempt the assign.
Question 1
Be sure to make a Table of Values to help you sketch these two curves, using all the key angles as discussed in my trig review in Lesson 1.  That should also identify the points of intersection for you.  Otherwise, this is a standard Lesson 5 area problem.
Question 2
Standard volume question as in Lesson 6.  Compute the two volumes in question and identify which is larger.  Get a common denominator for the two answers to help identify which is larger  Try to do this without a calculator, but check your conclusion with a calculator if necessary.
Question 3
Quite similar to my Lesson 6, question 2.  My question 3 gives you examples of how far to take an integral when you are setting it up, but not solving.  Make sure you are using test points to confirm that your integral will produce a positive answer.
Question 4
Part (a)
Ignore that hint.  Much easier to solve by u substitution.  Remember, when using any method to solve a definite integral, first set up the indefinite integral and solve that.  Then return to the definite integral to complete your solution.

Part (b)
Similar to my Lesson 8, 1(g).

Part (c)
Similar to my Lesson 7, 1(c)-(e).

Part (d)
Similar to my Lesson 7, 1(a)-(b).  This one is going to take a while, where you will have to repeat the procedure a couple of times, and also have to separate some parts that will be more like the types in part (c) above.