PETR2311PrerequisitesAnswers(2)

V 5 find the indefinite integral e t dt 1 e t c 6

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: efinite integral e t dt 1 e t C 6. Assuming d dx and (x 1 e 2 2 e 2 )2 2 e 2 2 2 2 )2 2 )2 2 ) 22 ) 2 2 2 (x 2( x 2 (x d e dx )2 22 d dx 2 (x 1 1 2 (x 1 ) 2 2 (x 1 2 are constants, calculate 2 (x e 2 )2 2 7. Assuming a is a constant, calculate d x ln(ax) dx ln(ax) x ln( ax) d d ( x ) x ln(ax ) dx dx 1 a ax 1 ln( ax) 8. What is the Taylor series expansion of e x around x=0? F ( x) e x F (a) e 0 dF dx ( x a) xa 1 02 e 0x ex 2 1 d 2F 2 dx 2 e ( x 1) F (a) e 0 dF dx ( x a) xa e 0 ( x 1) higher order terms xa 12 1x x 2 9. What is the Taylor series expansion of e F ( x) ( x a)2 1 d 2F 2 dx 2 10 e ( x 1) 2 2 ( x 1) ar...
View Full Document

This note was uploaded on 12/17/2013 for the course PETR 2311 taught by Professor Dr.holley during the Fall '12 term at University of Houston.

Ask a homework question - tutors are online