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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”.

Find the Taylor series for centered at 7 if . State the radius of convergence. 

Determine whether the statement is true or false.   If

Classify the following: a)  

Determine if the following argument and conclusion is correct or incorrect.   For series , 1. We apply the absolute convergence test, = 2. By the Comparison Test,  since , and

The fifth degree term in the binomial series for  is

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

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?

Question # 21 

Extra credit – reflection