15. Draw a set of x-, y, and z-axes and plot the following position vectors (including...

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15. Draw a set of x-, y, and z-axes and plot the following position vectors (including rectangular prisms) (6 marks) a. OP(4,6,3) b. 00(2,-7,-3) 16. Use the graph of f(x) to find the limit of each: (4 marks) a. lim f(x) x+2+ b. lim f(x) x-2- c. lim f(x) x-2 d. f(2) 4- 2- (2, 2) (-2,0) X 2 2 4 6 8 -2 (2,-1) 17. Find the velocity and acceleration at t = 3 for the position function, where s is in metres, and t is in seconds s(t)=214-313+7t-1 (3 marks) 18. A box with a square base and no top must have a volume of 10,000cm. If the smallest dimension is 5cm, determine the dimensions of the box that minimize the amount of material used. Please include a diagram with you solution (6 marks) 15. Draw a set of x-, y, and z-axes and plot the following position vectors (including rectangular prisms) (6 marks) a. OP(4,6,3) b. 00(2,-7,-3) 16. Use the graph of f(x) to find the limit of each: (4 marks) a. lim f(x) x+2+ b. lim f(x) x-2- c. lim f(x) x-2 d. f(2) 4- 2- (2, 2) (-2,0) X 2 2 4 6 8 -2 (2,-1) 17. Find the velocity and acceleration at t = 3 for the position function, where s is in metres, and t is in seconds s(t)=214-313+7t-1 (3 marks) 18. A box with a square base and no top must have a volume of 10,000cm. If the smallest dimension is 5cm, determine the dimensions of the box that minimize the amount of material used. Please include a diagram with you solution (6 marks)