For the vector function r(t) = 3i + 5 cos (t)j + 5 sin (t) k, find the unit tangent vector T at t = 4. (Give your answer

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For The Vector Function R T 3i 5 Cos T J 5 Sin T K Find The Unit Tangent Vector T At T 4 Give Your Answer 1 (16.44 KiB) Viewed 28 times

For the vector function r(t) = 3i + 5 cos (t)j + 5 sin (t) k, find the unit tangent vector T at t = 4. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) T(7) =

The helix defined by r(t) = 3 sin(t)i + 3 cos(t)j + 4tk and the direction k meet at a constant angle. Find the angle to the nearest degree. (Round your answer to the nearest whole number.) 0 = degrees

For the vector function r(t) = (3t² + 1)i + (1 – 5t)j, find the unit tangent vector T at t = 1. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) T(1) =

For the vector function r(t) = 3√ſti + ½t j, find the unit tangent vector T at t = 2. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) T(2) =

Let u(t) = e³¹i + e¯5¹j and v(t) = ti – 9tºj. Find [u(t) · v(t)]. (Express numbers in exact form. Use symbolic notation and fractions where needed.) d dt -[u(t). v(t)] =