Question 6, 13.1.13 ) HW Score: 28.75%, 4.6 of 16 points @ Homework: Sectl... Pam m 0 Points: Def 1 The equation r(t) = (8t + 7) i + (a? 2) j + (6t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t = 0 as a product of its speed and direction. Question 7, 13.1.15 HW Score: 28.75%, 4.6 of 16 points 83 Homework: Sectl... Pam m 0 Points: 0 of 1 The equation r(t) = (4 sin t) i + (4 cos t)j + (4t) k is the position of a particle in space at time 1. Find the particle's velocity and acceleration vectors. Then write the 31: particle's velocity at l = 7 as a product of its speed and direction. . _ st :28.75'y,4.6 f16 '1 Homework: Sectl... Question 8,13.1.19 core poms Q3 0 Points: 0 of 1 The equation r(t) = (2t + 6) i + (1/30 j+ (2t2) k is the position of a particle in space at time t. Find the angle between the velocity and acceleration vectors at time t= 0. What is the angle? D radians (Type an exact answer, using at as needed.) HW Score: 28.75%, 4.6 of 16 points @ Homework: Sectl... Questlon 9, 13-1-20 0 points: 0 of1 3 The equation r(t) = [Ti] i + (t-16t2) j is the position of a particle in space at time t. Find the angle between the velocity and acceleration vectors at time t= 0. The angle between the velocity and acceleration vectors at time t = 0 is :l radians. (Type an exact answer. using 1: as needed.) HW S Homework: Secti... O P Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (4 sin t) i + (+3 - cost) j+ (3 3t) k, t = 0 . . . . . What is the standard parameterization for the tangent line? X= V Z = (Type expressions using t as the variable.)