1. For the vector valued function r()=(/ -12/, /2 +10r ). Determine the values of / where the slopes of this function are horizontal and vertical. 2. An object travels along the path defined by the 3-D curve = (17 , 2: + 24, 1' ) . Another object is released along the path / = (141-48, ", 81-12). Determine when they will collide and find the collision point. 3. The velocity of an object is defined as I" = (3cos , e" , In 1+3/ ). Find the acceleration vector. 4. Determine the unit tangent vector 7 for the curve r() = (1 ,13,)) +