An object moving along a curve in the xy-plane has position (x(1),y(t)) at

Transcribed Image Text: 11. An object moving along a curve in the xy-plane has position (x(1),y(t)) at
2 sin(r’) and
dy
dx
time t with
dt
– cos(r²) for 05154. At time t = 1, the
dt
object is at the position (3, 4).
(a) Write an equation for the line tangent to the curve at (3, 4).
(b) Find the speed of the object at time t = 2.
(c) Find the total distance traveled by the object over the time interval 0 SISI.
(d) Find the position of the object at time t = 2.

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