Find r(t) if r' (t) = (6t (1-3),te,4 sin (1-2)) and r(2)=(2,-3,1) Suppose an object moves...

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Find r(t) if r' (t) = (6t (1²-3)²,te²,4 sin² (1-2)) and r(2)=(2,-3,1) Suppose an object moves in space such that it position at time t hours is given by r(t) = (6t+1)i+t'j-ek. Find the velocity and acceleration vectors at time t = 2. If distances a measured in miles, what is the speed of the object at this time? (5 pts) Find and graph the domain of f(x, y)=√√x²- Find the arclength parameterization of r= (15 sint,15 cost,8t) if t≥0 Find r(t) if r' (t) = (6t (1²-3)²,te²,4 sin² (1-2)) and r(2)=(2,-3,1) Suppose an object moves in space such that it position at time t hours is given by r(t) = (6t+1)i+t'j-ek. Find the velocity and acceleration vectors at time t = 2. If distances a measured in miles, what is the speed of the object at this time? (5 pts) Find and graph the domain of f(x, y)=√√x²- Find the arclength parameterization of r= (15 sint,15 cost,8t) if t≥0

Answer rating: 100% (QA)

To find rt given rt and the initial condition r2 we can integrate rt with respect to t and apply the initial condition Given rt 613t te4 4sin12t we ca... View the full answer