Unformatted text preview: t is in seconds and s(t) is in meters. a) Find the velocity of the particle at time t. b) When is the particle at rest? When is it moving foward? When is it moving backward? c) Find the total distance traveled by the particle during the first 3 seconds. (15 points) Differentiate the following functions: a) U :[email protected]+t)5 b) " : *2([email protected] t7 c) y : coshfcot(Iogrr)] 7 - (12 points) A spherical balloon begins to leak air at t : 0 seconds. Its radius t seconds later is r(t) : ry inches. At what rate is air leaking from the balloon when f : 30 seconds 0"rr,o" : tn 13 )?...
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- Spring '05
- Math, Following, following functions, logarithmic differentiation, methodsdiscussedn class, EXAM 2oMarch