9. An object moving along a curve in the xy-plane has position (x(t),y(t)) at dy dx :=1+ tan(r²) and = 3e" . Find the acceleration dt time t2 0 with dt vector and the speed of the object when t = 5. plane so that the position of the particle is given by

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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9. An object moving along a curve in the xy-plane has position (x(t),y(t)) at
dy
1+ tan(r²) and
dx
time t20 with
dt
y = 3e. Find the acceleration
dt
vector and the speed of the object when t = 5.
10. A particle moves in the xy-plane so that the position of the particle is given by
x(1)=1+cos t and y(t)=3t+2sin 1, 0 <ISA. Find the velocity vector when
the particle's vertical position is y = 5.
Transcribed Image Text:9. An object moving along a curve in the xy-plane has position (x(t),y(t)) at dy 1+ tan(r²) and dx time t20 with dt y = 3e. Find the acceleration dt vector and the speed of the object when t = 5. 10. A particle moves in the xy-plane so that the position of the particle is given by x(1)=1+cos t and y(t)=3t+2sin 1, 0 <ISA. Find the velocity vector when the particle's vertical position is y = 5.
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