Did you read my tips on how to do well in Math 1700 Distance? If not, here is a link to those important suggestions:
Even if you are not taking the distance course, I think it is very useful for all Math 1700 students to attempt these hand-in assignments. In general, the assignments can be quite demanding and really force you to solidify your math skills. However, the fact is that the distance course covers the topics in a different order from the classroom lecture sections, so I would not advise classroom students to look at this assignment until they have studied the relevant lessons in class.
Note that you need to study Lesson 13 (Arc Length and Surface Area) and Lesson 14 (Parametric Equations) 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.
Don't have my book? You can download a sample containing two lessons here (unfortunately, the sample contains lessons 1 and 11):
Question 1 is a classic arc length question similar to my examples in Lesson 13.
Question 2 is sneaky. Note that you need to compute g'(x) as part of working out the surface area, and that in order to compute the derivative you would use the Fundamental Theorem of Calculus as taught back in Lesson 2, question 2.
Question 3 is a standard surface area question like my Lesson 13.
Question 4 is classic parametric equation stuff as discussed in Lesson 14.
Question 5 obviously uses the arc length formula for parametric equations used in Lesson 14.
Question 6 is quite similar to my question 5 in Lesson 14.
