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MAT134Y5 (274)
Shay Fuchs (165)
Lecture

# Jan 31.pdf

4 Pages
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Department
Mathematics
Course
MAT134Y5
Professor
Shay Fuchs
Semester
Winter

Description
arc length 6.3 Remark :if f' does not exist,then we may be able to write the equation y=f(x) as x = g(y) and use the formula Example ﬁnd the length of the curve Solution Alternatively,we may write work and ﬂuid forces 6.5 If a body moved a distance d along a straight line as a result of being acted on by a constant force F, then we deﬁne the workW done by the force,asW=F d. Often,the work describes the "change in energy" of the body. Units If F is in Newtons (N),and d is in meters (m),thenW is in Newton-meter (N m), or in joules (J). If F is in pounds (lb) and d is in feet (ft),thenW is in foot-pound(ft lb). Example if a force of 100 lb is used to pull a cart 200 ft,then the work done by the force is If a variable force F(x) is causing an object to move from x=a to x=b,then the work can be approximated by a Riemann Sum
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