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ENG1005 - Engineering mathematics - S1 2025

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

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

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Which one of the following is a geometric series?

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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.

Note: This information is stored for all completed quiz attempts, so there is no need to repeat your comments from a previous attempt.

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

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The contours of the function consist of

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A number of vectors are shown below. 

      

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

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A matrix transformation transforms the vectors

    

to

Which of the following is an eigenvector of the transformation?

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