Compute the unit binormal vector and torsion of the curve: ?⃗⃗ (?) = 〈12?, 5cos ?,...

Compute the unit binormal vector and torsion of the curve: ?⃗⃗ (?) = 〈12?, 5cos ?, 5 sin ?〉

Expert Solution

milcah answered 2 years ago

compute the unit tangent vector T and the principal normal unit vector N of the space...

compute the unit tangent vector T and the principal normal unit vector N of the space curve R(t)=<2t, t^2, 1/3t^3> at the point when t=1. Then find its length over the domain [0,2]

Let u be a unit vector, and P = Identity vector − u⊗u. Compute P^2 and...

Let u be a unit vector, and P = Identity vector − u⊗u. Compute P^2 and P^(−1). Hint: Rank one Matrix.

(8pts)Consider the following vector field F and closed oriented curve C in the plane a. compute...

(8pts)Consider the following vector field F and closed oriented curve C in the plane a. compute the circulation and interpret the result b. compute the flux of the vector field F across C F = <y,-2x>/sqrt(4x^2+y^2) r(t) = <2cost,4sint>

Using Green’s theorem, compute the line integral of the vector field below, along the curve x^2...

Using Green’s theorem, compute the line integral of the vector field below, along the curve x^2 - 2x + y^2 = 0 , with the counterclockwise orientation. Don’t compute the FINAL TRIG integral. F(x,y) = < (-y^3 / 3) - cos(x^7) , cos(y^9 + y^5) + (x^3 / 3) > .

Using Green’s theorem, compute the line integral of the vector field below, along the curve x^2-2x+...

Using Green’s theorem, compute the line integral of the vector field below, along the curve x^2-2x+ y^2=0 , with the counterclockwise orientation. Don’t compute the FINAL TRIG integral. F(x,y)=<- y^3/3-cos⁡(x^7 ) ,cos(y^9+y^5 )+ x^3/3> .

Show the complete solution. Determine the unit tangent vector (T), the unit normal vector (N), and...

Show the complete solution. Determine the unit tangent vector (T), the unit normal vector (N), and the curvature of ?(?) = 2? ? + ?^2 ? – 1/3 ?^3 k at t = 1.

Find a unit vector normal to the level curve f(x,y) = -4x^2 -2y^2 + 5x +...

Find a unit vector normal to the level curve f(x,y) = -4x^2 -2y^2 + 5x + y at the point (1,-2)

A monopolist with a straight-line demand curve finds that it can sell 2 unit at 12...

A monopolist with a straight-line demand curve finds that it can sell 2 unit at 12 dollar each or 12 unit at 2 dollar each. Its marginal cost is constant at 3 dollar per unit. Draw the MR, and MC curves for this monoply

15. a. Find the unit tangent vector T(1) at time t=1 for the space curve r(t)=〈t3...

15. a. Find the unit tangent vector T(1) at time t=1 for the space curve r(t)=〈t3 +3t, t2 +1, 3t+4〉. b. Compute the length of the space curve r(t) = 〈sin t, t, cos t〉 with 0 ≤ t ≤ 6.

For a position vector d=(-7.1i+-0.1j)m, determine the x-component of the unit vector. For a position vector...

For a position vector d=(-7.1i+-0.1j)m, determine the x-component of the unit vector. For a position vector d=(-7.1i+-0.1j)m, determine the y-component of the unit vector. The direction of a 454.7 lb force is defined by the unit vector u1=cos(30°)i+sin(30°)j. Determine the x-component of the force vector.

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