Which test would you use to determine the convergence or divergence of this series  ?

The curve C is given parametrically by  . Find the interval of t where curve C is concave upward. 

Given the integral,  . Which integration technique would you use to find the antiderivative?

Set up an integral to evaluate the area of the region that lies inside 

Use the fact that ,  express as a power series.

Which one of the following integrals is to determine the area of the region bounded by the curve    below the x-axis?

Do you see yourself NOW on the terminal/computer/recording screen as one of the 7 examples below? If you do, please keep the setting (you and the computer) the way it is, throughout the exam.  If you don’t, adjust now before proceed. You will be deducted 20% of the points from each problem that you are not following the direction and face consequences as stated in the syllabus and the announcement on “Academic Integrity”.

Any mistake in the following process? If so, where is it initiated?  Evaluate  

Find the Taylor series for  centered at 1 if State the radius of convergence.

You are given the alternating series .  You determine the following: 1. , and it diverges by a Comparison Test. 2. diverges by the Alternating Series Test. What can you then conclude?