Find the curvature of the curve Vector r(t)= costi + costj -3sintk at the point (1,1,0)

Expert Solution

milcah answered 2 years ago

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

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 >.

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) =

(1 point) For the given position vectors r(t)r(t) compute the unit tangent vector T(t)T(t) for the...

(1 point) For the given position vectors r(t)r(t) compute the unit tangent vector T(t)T(t) for the given value of tt . A) Let r(t)=〈cos5t,sin5t〉 Then T(π4)〈 B) Let r(t)=〈t^2,t^3〉 Then T(4)=〈 C) Let r(t)=e^(5t)i+e^(−4t)j+tk Then T(−5)=

Given the vector function r(t)=〈√t , 1/(t-1) ,e^2t 〉 a) Find: ∫ r(t)dt b) Calculate the...

Given the vector function r(t)=〈√t , 1/(t-1) ,e^2t 〉 a) Find: ∫ r(t)dt b) Calculate the definite integral of r(t) for 2 ≤ t ≤ 3 can you please provide a Matlab code?

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 slope of the tangent line to the following curve at the point given. r=...

Find the slope of the tangent line to the following curve at the point given. r= Cos(3theta) + Sin(2theta) (1,0)

Consider the vector function given below. r(t) = 2t, 3 cos(t), 3 sin(t) (a) Find the...

Consider the vector function given below. r(t) = 2t, 3 cos(t), 3 sin(t) (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t) = N(t) = (b) Use this formula to find the curvature. κ(t) =

Question