7. An object moving along a curve in the xy-plane is in position \( (x(t), y(t)) \) at time \( t \geq 0 \)
with \( \frac{dx}{dt} = 2 - \sin(t^2) \). At time \( t = 3 \), the object is at position \( (2, 7) \).
What is the x-coordinate of the position of the object at time \( t = 6 \)?
