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M 408C (14)
Midterm

Calc Exam 2 .pdf

5 Pages
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Department
Mathematics
Course Code
M 408C
Professor
Gary, Berg

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Description
M408D   Exam  2   Summer  ‘09     Name________________________________                  EID_____________   TA________________     Each  numbered  problem  is  worth  10  points.  Show  your  work.     ∞ (x −2) n 1)   Find  the  largest  interval  of  convergence  for   ∑ n .   n=1 n3       €                             2)   Differentiate a geometric series to find a power series expansion for 1 f (x) = (1+ x) 2 .         €       1   M408D   Exam  2   Summer  ‘09     Name________________________________                  EID_____________   TA________________     Each  numbered  problem  is  worth  10  points.  Show  your  work.     e −1 3)   Evaluate   ∫ dx  as  an  infinite  series.   x         €                               4)   A  car  is  moving  with  speed  20  m/s  and  acceleration  2  m/s  at  a  given  instant.   2 Using  a  second-­‐degree  Taylor  polynomial,  estimate  how  far  the  car  moves  in  the   next  second.             2   M408D   Exam  2   Summer  ‘09     Name________________________________                  EID_____________   TA________________     Each  numbered  problem  is  worth  10  points.  Show  your  work.     5)   Find  an  equation  of  the  tangent  to  the  curve  at  the  point  corresponding  to  t=1   t
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