Find the unit tangent vector at the indicated point of the vector function 11t 11t 11t costi + e¹¹t sintj+e k r(t) = e T(T/2) = ( 000

Q: Given the vector function - r(t) = (t²- 4t)i + sin(2t − 4)3 + ( + ) Find the derivative of r(t). a)…

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Q: Find the unit tangent vector T(t) given r(t)=   ============================================= This…

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Q: Ifr(t) = (sin t , cos t, 29- t), then determine a vector that is perpendicular to both unit tangent…

A: Given: r(t) = sin t, cos t, 29-t To determine: A vector that is perpendicular to both unit tangent…

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: Find the unit tangent vector of the given curve. r(t) = (7t cost-7 sin t)j + (7t sin t + 7 cost) k…

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Q: Find the unit tangent vector at the indicated point of the vector function T(π/2) = ( r(t) = e²t…

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Q: Given r(t)=2e²i+(2e“ cost)j+(2e" sint)k . (a) Find the tangent vector, T(t) and the normal vector,…

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

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Q: 1-x² - y² -3 For the function f(x,y) that has a positive component. = " find a unit tangent vector…

A: The function is For finding the unit…