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a) The work done by a sliding piston is given by the expression wd = J31 + 2t dt use integration to determine the work done by the piston between t= 1s and t= 3s. b) Given that the velocity of a body is given by y = 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. )

a) The work done by a sliding piston is given by the expression wd = J31 + 2t dt use integration to determine the work done by the piston between t= 1s and t= 3s. b) Given that the velocity of a body is given by y = 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. )

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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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 between t= 1s and t= 3s. www 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 į Cos(3x + 4) dx ( Hint Using the substitution u = 3x + 4. )
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 between t= 1s and t= 3s. www 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 į Cos(3x + 4) dx ( Hint Using the substitution u = 3x + 4. )
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