Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Students have asked these similar questions
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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