Answer to Question #59908 in Calculus for joseph ogala

Question

Given that
A=sinti+costj+tk
A=sin⁡ti+cos⁡tj+tk
, evaluate
∣∣∣d2Adt2∣∣∣
A particle moves along a curve whose parameter equations are
x=e−t
x=e−t
,
y=2cos3t
y=2cos⁡3t
,
z=2sin3t
z=2sin⁡3t
. Find the magnitude of the acceleration at t=0
A particle moves along the curve
x=2t2
x=2t2
,
y=t2−4t
y=t2−4t
and
z=3t−5
z=3t−5
,where t is the time. Find the components of the velocity at t=1 in the direction
i−3j+2k