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The work done by a sliding piston is given by the expression wd = ∫3t2 + 2t dt use integration to determine the work done by the piston between t = 1s and t = 3s.

The work done by a sliding piston is given by the expression wd = ∫3t2 + 2t dt use integration to determine the work done by the piston between t = 1s and t = 3s.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
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  1. The work done by a sliding piston is given by the expression wd = ∫3t2 + 2t dt use integration to determine the work done by the piston between t = 1s and  t = 3s.
  2. Given that the velocity of a body is given by v  =  u + at where u is the initial velocity, t is the time in seconds and a is the acceleration, use integration to derive an expression for the distance the body has travelled in t seconds.
  3. find ò cos(3x + 4) dx ( Hint Using the substitution u = 3x + 4. ) 
  4. find dx                     ( Hint Using integration by parts )
Task 2 Scenario a) The work done by a sliding piston is given by the expression wd = J3t2 + 2t dt use integration to determine the work done by the piston betweent = 1s and t = 3s. b) Given that the velocity of a body is given by v = u + at where u is the initial velocity, t is the time in seconds and a is the acceleration, use integration to derive an expression for the distance the body has travelled in t seconds. c) find cos(3x + 4) dx ( Hint Using the substitution u = 3x + 4. ) d) find ſ xlnx dx ( Hint Using integration by parts ) Internal Use 1+x e) find dx (1-x)(2+x) ( Hint use partial fractions )
Transcribed Image Text:Task 2 Scenario a) The work done by a sliding piston is given by the expression wd = J3t2 + 2t dt use integration to determine the work done by the piston betweent = 1s and t = 3s. b) Given that the velocity of a body is given by v = u + at where u is the initial velocity, t is the time in seconds and a is the acceleration, use integration to derive an expression for the distance the body has travelled in t seconds. c) find cos(3x + 4) dx ( Hint Using the substitution u = 3x + 4. ) d) find ſ xlnx dx ( Hint Using integration by parts ) Internal Use 1+x e) find dx (1-x)(2+x) ( Hint use partial fractions )
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  1. The work done by a sliding piston is given by the expression wd = ∫3t2 + 2t dt use integration to determine the work done by the piston between t = 1s and  t = 3s.
 
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