pls let me know how to do this.

10. Find the length of the space curve given below. r(t) = 7ti + 4003! ' j + 43in: - k, [0, 5] 11. Find the length of the plane curve given below. r(t) = 2003: - i + 23in: - j, [0, 4] 5. The position vector r(t) = 4ti + tj + -t k describes the path of an object moving in space. Find the acceleration a(t) of the object. 6. Find r'(t) given the following vector function. r(t) = 3t i + 4t-j + 3+3k 7. Sketch the curve represented by the vector-valued function r(t) = cos(t)i + sin(t)j + tk and give the orientation of the curve. 8. Use the given acceleration function and initial conditions to find the position at time t = 1. a(t) = 61 - 6j + 10k, v(0) = 4k, r(0) = 0