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6. Given # = [2. -5)and # = [-7.2] find a. 50 - b. 7 . 7. Given # = [-4,4, - 4) and #
6. Given # = [2. -5)and # = [-7.2] find a. 50 - b. 7 . 7. Given # = [-4,4, - 4) and # = [-5,6, 2] find a. 20 + b, 7 C. W X d. lal 8. Find # . F (1 mark) 55 lal = 23 171 = 31 9. Find the volume of the parallelepiped defined by the vectors. 7 = 18. - 3,417 = [-2,9, 11W = [0, -4, -71 10. Given # = [10,4] and # = [12, - 13], find the projection of # on v. 11. Given the force, in Newtons, to be [15.12] for an object moving along the vector [7,$] in metres, find the work done.1.3 Discussion: Limit problems v Create two new limit problems that require some of the problem-sowing techniques other than substitution. Share them in the forum. Reply to two other problems posted by your peers with your solution and a graph to support your response. Task 1: Include full solutions to the following questions from the Check Your Understanding sections in this unit. Learning Activity and question number Question Learning ACHVW 1'11 Find the roots ofy : $3 + 2 $2 5 ill 6 3d. Learning ACtiViW 12. A cannon ball is shot into the air such that its height h, in metres. after time t, in seconds, 3 can be modelled bythe function h (i) : g.8 t2 + 78.4 t -l- 1.5. Learning Activity 1.2. Determine the average rate of change in height of the ball on the interval [1.3]. 3a Learning Activity 1.21 Estimate the instantaneous rate of change in height of the ball at 2 seconds. 3b Learning Activity 1.3. Evaluate the the following limit: lam $44 5 its>4 VIE2 One other question of your choice. Task 2 Task 2: Answer any two of the following; Explain the diflerence between the average rate of change and the instantaneous rate of change. Outline the procedure for calculating instantaneous rate of change. Outline the procedure for calculating average rate of change. Outline the basic rules for evaluation of limits) Task 3 Task 3: Define any three of the following. . quadratic formula . average rate of change . instantaneous rate of change . secant line . tangent line . tangent point Task 4 Task 4: Reflection . Outline your strengths and weaknesses in this unit. . Reflect on your progress as a self-directed, independent learner. . Include any websites you used for extra practice or videos that you watched
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