Question

In: Math

Find the curvature of curve r(t) = 7sin2ti+7cos2tj+7tk

Find the curvature of curve r(t) = 7sin2ti+7cos2tj+7tk

Solutions

Expert Solution


Related Solutions

Find the curvature of the parametrized curve ~r(t) =< 2t 2 , 4 + t, −t...
Find the curvature of the parametrized curve ~r(t) =< 2t 2 , 4 + t, −t 2 >.
Find the curvature of the curve Vector r(t)= costi + costj -3sintk at the point (1,1,0)
Find the curvature of the curve Vector r(t)= costi + costj -3sintk at the point (1,1,0)
Find T(t), N(t), aT, and aN at the given time t for the space curve r(t)....
Find T(t), N(t), aT, and aN at the given time t for the space curve r(t). [Hint: Find a(t), T(t), aT, and aN. Solve for N in the equation a(t)=aTT+aNN. (If an answer is undefined, enter UNDEFINED.) Function    Time r(t)=9ti-tj+(t^2)k t=-1 T(-1)= N(-1)= aT= aN=
find the curvature and torsion of beta(t) = (e^tcost, e^tsint, e^t)
find the curvature and torsion of beta(t) = (e^tcost, e^tsint, e^t)
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.
Find the point on the plane curve xy = 1, x > 0 where the curvature...
Find the point on the plane curve xy = 1, x > 0 where the curvature takes its maximal value.
Find the point of intersection of the tangent lines to the curve r(t) = 5 sin(πt),...
Find the point of intersection of the tangent lines to the curve r(t) = 5 sin(πt), 2 sin(πt), 6 cos(πt) at the points where t = 0 and t = 0.5. (x, y, z) =
Calculate the arc length of the indicated portion of the curve r(t). r(t) = i +...
Calculate the arc length of the indicated portion of the curve r(t). r(t) = i + (9t sin t)j + (9t cos t)k ; -3 ≤ t ≤ 7
Find the slope of the tangent line to the polar curve r=1-2sint at t=pi/3.
Find the slope of the tangent line to the polar curve r=1-2sint at t=pi/3.
The curve C is given by the parameterization ⃗r(t) = <−t , 1 − t^2> for...
The curve C is given by the parameterization ⃗r(t) = <−t , 1 − t^2> for −1 ≤ t ≤ 1. a) Choose any vector field F⃗ (x, y) = 〈some function , some other function〉 and setup the work integral of F⃗ over C. b)Choose any vector field G⃗(x,y) which has a potential function of the form φ(x,y)= x^3 + y^3 + some other stuff and compute the work done by G⃗ over C. Please use a somewhat basic...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT