Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth    Edition Student Edition + Mathxl 1-year License
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WHite the veD secsand orde equation as is equivalent svstem of hirst order equations. u" +7.5z - 3.5u = -4 sin(3t), u(1) = -8, u'(1) -6.5 Use v to represent the "velocity fumerion", ie.v =(). Use o and u for the rwo functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) +7.5v+3.5u-4 sin 3t Now write the system using matrices: dt 3.5 7.5 4 sin(3t) and the initial value for the vector valued function is: u(1) v(1) 3.5
Motion along a curve:  b) r(t) = <cos(t), sin(t), t2 >. Find v(t), a(t), aT, aN
Motion along a curve   a) a(t) = <2t, 2sin(t), cos(4t) >. At t = 0, the velocity is <1, -3, 2> and the position is <2, -1, -1 >. Find v(t) and r(t).
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