The binormal vector to r(t) = (3sin t, 3 cos t, 4t) at t at t = is

Q: Find the positive t when the vector r r(t) = (3t, 4t², 10t² - 4) is perpendicular to r'(t). t =

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Q: Ans. (5) Given position vector r(t) = (t₁ t - sint, 1- cast) ⇒ r (t) = ti + (t-sint) 3 + (1 - cost)…

A: Ans. (5) Given position vector

Q: Let 7(t) = (t + 4, – e*, 3 sin(3t)) - Find the unit tangent vector T (t) at the point t = :0 T(0) =

A: We have to find

Q: 3. (a) Given the vector valued function r(t) = 4cos nti + 4 sin ntj + tk. Find the position vector,…

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Q: 2) Let two vector functions be defined by r₁(t) = (2t, t², t²) r₂(t) = (sint, sin(3t),5t) a. Find…

A: a. Consider the given vector functions, r1(t)=2t,t2,t4r2(t)=sint,sin3t,5t if two vector function…

Q: Let the velocity vector be v(t) = (6 cos(3t), 8 exp(2t), 3t2). Compute the acceleration vector a(t).

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Q: At what times in the interval

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Q: Identify the direction from graph of functions given below: vector i) r = i(2 cos 21)+ j(2sin 2r) ;…

A: Given, r→=i^(2cos2t)+j^(2sin2t) Identify the direction vector, From the given position vector,…

Q: for the attched r(t): 1) how do I find r'(t) 2) sketch the position vector r(0) 3) sketch the…

A: given that r(t)=e2ti+etj. we need to  : (a) find r'(t) r'(t) is the first derivative of the function…

Q: Find dr Ct) for the vector functions. dt r(t) = (1-2t)it Ct cos t)j -t %3D

A: To find dr(t)/dt

Q: v 38. Motion along a circle Show that the vector-valued function r(1) = (2i + 2j + k) i + V3 + sin t…

A: Sol

Q: Given the vector valued function r(t) = 4 cos ati + 4 sin ntj + tk. Find the position vector, the…

A: In this question, we have three parts In (a) we need to find the position vector r(1) The unit…

Q: Show that fi(r) = rª and f2(r) = r² +1 are orthogonal on the interval [–1, 1).

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