For the given position function, find the unit tangent. T(t) = eBook r(t) = et cos(t)i + et sin(t)j + √zetk -14 points ZillEngMath6 9.3.003. My Notes Ask Your Use the procedure outlined in this example of tangent, normal, and binormal vectors to find T, N, B, and к for motion on a general circular helix that is described by r(t) = acos(t) i + a sin(t)j + ctk. (Assume a > 0.) T = N = B = K = eBook Find the curvature at t = 3л of the cycloid that is described by = - r(t) a(t sin(t))i + a(1 cos(t)), a > 0. K = 12 × A shell is fired from ground level with an initial speed of 384 ft/s at an angle of elevation of 30° from a cliff 1540 ft high. Find the following. (Use g = 32 ft/s² for the acceleration due to gravity and let the positive y-axis be directed upwards.) (a) a vector function of the shell's trajectory r(t) = 192√3 ti+ (-16² + 192t+1540); Dook (b) the maximum altitude attained 2110 × ft (c) the range of the shell 5820 x ft (d) the speed at impact 384 x ft/s A small projectile is launched from ground level with an initial speed of 98 m/s. Find the possible angles of elevation so that its range is 490 m. (Use g = 9.8 m/s² for the acceleration due to gravity. Enter your answers as a comma-separated list. Round your answers to the nearest integer.) 15 eBook