The acceleration of a particle moving in space is ã(t) = (-3cost)i +(-3sint)j at t = 0 the particle passed through the point (3,0,0) with velocity v(0) = 3j + 2k. Find: 1. F(t) 2. The unit tangent vector at t = n 3. Find the arc length of the particle for 0stsn

Q: dy dz - 182 + 72"y + y² = - 10 Given the equation below, find 36 1822(3 – 14z3y) 7z%6 + 2y dy dr…

A: Given,            -18x3+7x36y+y2=-10

Q: Given 4'(t) = (-4t +1, -4 sin(t),-e), find the unit tangent vector 4 at t = 0.

A: We need to determine the unit tangent vector at t=0 using the data of A~'(t). The unit tangent…

Q: Q3. The acceleration of a particle moving in space is a(t) = (-3cost)i + (-3sint)j at t = 0 the…

A: We are given the acceleration function here  a→(t)=(-3cost)i+(-3sint)j at t =0 particles position or…

Q: Find the unit tangent vector for the parameterized curve: r(t) = 2ti + 2cos tj - 2 sint k

A:

Q: For the curve x = cos t , y = sin t , z = t, find a. an equation of the tangent line at the point…

A:

Q: Find the vector equation of the tangent line to F(t) = (2 sin 2t, cos 2t, – 6t) at the point where…

A: Consider the given vector. rt=2sint,cos2t,-6t   Find the derivative of the vector with respect to t.…

Q: JA particle moves in astraignt line andl has acceleration given by a (t)=2 sint + 3 C0st. It's…

A:

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A:

Q: A particle moves on an axis “x" with variable speed v(t) starting from t= 0. Calculate for each…

A: According to question, Particle moves on x-axis direction, We have, Variable speed, v t = 10 + 4…

Q: Suppose the velocity of a particle is given by v(t) = (sin(4t), 3 cos(t), 4t³). Find the…

A: Suppose the velocity of a particle is given by v(t) = (sin(4t), 3 cos(t), 4t³). Find the…

Q: Find the unit tangent vector to the curve defined by =(- 4t, 4t, V49 - t) at t = - 6. T(- 6)

A:

Q: Find the unit tangent vector T (0) to the curve C: r (t) = 4 sin(t)i+ 2 cos(t)j + 3tk COS

A:

Q: T = Find the equation of the tangent line to the curve when t 6

A:

Q: Find the unit tangent vector to the curve defined by F(t) = ( 5t, V36 – t2) at t = 1. T(1)

A: Given: r→t=-4t,-5t,36-t2 at t=1 We have to find the value of T→1.

Q: Let r(t) = (2 sin (t), +2, 3cos (t)) 2π 1. Find the unit tangent vector T(t) 2. Find T'(t) 3. Find…

A:

Q: 1. Find the unit tangent vector to r(t) = at t = n.

A: