A6 - Math 128 ASSIGNMENT 6 Vector/parametric curves Winter...

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Math 128 ASSIGNMENT 6: Vector/parametric curves Winter 2012 Due at 8:25 am on Wednesday, February 29 th in the correct drop slot across from MC4066 or in class depending on your instructor’s preference. Assignments put into the wrong drop slot will not be marked. Note that this assignment is due after reading week. Since this assignment is of normal length (shorter than the last one, thank goodness!), it is suggested that you use some of the extra time to ‘brush up’ on previous assignments. ‘Warm up’ exercises: Not to be submitted, but we recommend you try these first. Answers are in the back of the text. Find the length of the circle of radius r given by ~x ( t ) = ( r cos t, r sin t ), 0 t 2 π . [ Answer: 2 πr , of course.] Part A (answer only): Submit your answers using the template provided on the last page of this assignment, which you can print or hand-copy. 1. Text 10.1 # 24. 2. Text 10.1 # 28. 3. For the following curve, find the vector equation of the tangent line at t 0 , and state the slope of the tangent line at t 0 . (For practice only, sketch the curve and tangent
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