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13 Nov 2019
please please answer all parts
Directions: » You will be graded on organization, conceptual understanding, and proper mathematical communica- tion, as well as completion of the problems » Use complete sentences to communicate your thinking. Your work should be done on a separate sheet of paper. » Show as much work as you can, draw sketches if necessary and clearly explain why you are doing what you are doing » Use correct mathematical notation. Include "-" and "" where appropriate » You may work with your classmates. However, please submit your own work! » Please use this sheet as a cover page. 1. (Related Rates) A particle moves clockwise around the circle 2 +y2-16 with respect to time! 3 -2 1 o 1 3 (a) In which of the four quadrants is the derivative dy/dt positive? Explain your answer. [3 points] [4 points] (c) At what rate is the y-coordinate changing when the particle passes the point (2V2,2V2) if its x- (b) Find a relation between dx/dt and dy/dt. Show each step and explain you work. coordinate is increasing at a rate of 3 ft/sec? Explain your answer 3 points] (d) What is dx/dt when the particle is at the left-most and the right-most of the circle? That is, at (4,0) and (-4,0). Explain your answer 3 points
please please answer all parts
Directions: » You will be graded on organization, conceptual understanding, and proper mathematical communica- tion, as well as completion of the problems » Use complete sentences to communicate your thinking. Your work should be done on a separate sheet of paper. » Show as much work as you can, draw sketches if necessary and clearly explain why you are doing what you are doing » Use correct mathematical notation. Include "-" and "" where appropriate » You may work with your classmates. However, please submit your own work! » Please use this sheet as a cover page. 1. (Related Rates) A particle moves clockwise around the circle 2 +y2-16 with respect to time! 3 -2 1 o 1 3 (a) In which of the four quadrants is the derivative dy/dt positive? Explain your answer. [3 points] [4 points] (c) At what rate is the y-coordinate changing when the particle passes the point (2V2,2V2) if its x- (b) Find a relation between dx/dt and dy/dt. Show each step and explain you work. coordinate is increasing at a rate of 3 ft/sec? Explain your answer 3 points] (d) What is dx/dt when the particle is at the left-most and the right-most of the circle? That is, at (4,0) and (-4,0). Explain your answer 3 points
Bunny GreenfelderLv2
28 Apr 2019