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

Did read my tips for Assignment 1? If not, here is a link to those important suggestions:

Did read my tips for Assignment 2? If not, here is a link to those important suggestions:

Did read my tips for Assignment 3? If not, here is a link to those important suggestions:

Did read my tips for Assignment 4? If not, here is a link to those important suggestions:

These are tips for the fifth 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 14 (Parametric Equations) and Lesson 15 (Polar Curves) from my Calculus 2 book to prepare for this assignment!

Don't have my book? You can download a sample of my book here:

These aren't bad at all as long as you have studied Lesson 14 thoroughly.  Especially my questions 1 and 6.  To establish where it is concave up, make a sign diagram as I illustrate in question 6.  You may find it easier to find the top and bottom zeros for the second derivative, then, to establish the signs in each region, merely sub a value for t in.  For example, in my question 6(a), the only zero is at t=1, so you could sub a number below 1, like t=0 into the second derivative.  That will tell you the sign to the left of t=1.  Then sub in a number like t=2 to get the sign to the right of t=1.

Similar to my questions 5 and 6 in Lesson 14.

Very similar to my question 1 in Lesson 15.  Kind of defeats the purpose by first using Cartesian coordinates.  You will see very similar examples of these graphs in my lesson.  Apparently though, you must first convert these to Cartesian (x,y) coordinates.  This makes no sense, especially for 34.  Good rule of thumb: multiply both sides by r to create r-squared, then replace r-squared with x-squared + y-squared and replace rcos(theta) with x and replace rsin(theta) with y.  I would do this but not use it in anyway to help sketch the curves.  Use the table of values approach I show in the lesson.

Use the arc length formula for polar curves as I do in my question 3 in Lesson 15.  Watch for opportunities to simplify the integrals by using trig identities.