Suppose the power series   converges at and , at which of the following values of is the series definitely convergent (select one or more)? 

Suppose the power series  has radius of convergence 4, then the series   

Which one of the following is a geometric series?

The most difficult concept

Please take 5 minutes to answer the following question:

"What did you find the 'muddiest point' (the least clear aspect) of this week's lesson and quiz?"

This question has no credit associated with it, but is a useful reflective learning exercise for you and will be used by the lecturer to guide the initial summary discussion.

Consider the function . What is the direction of steepest ascent at the point ?

The contours of the function consist of

A number of vectors are shown below. 

The vector is an eigenvector of the matrix .  Which of the vectors could represent ?  Select all that apply.

A matrix transformation transforms the vectors