WA3 assignment sheet_MAT-232.pdf - Name Nina Odunlami...

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WA 3, p. 1 Name: Nina Odunlami University ID: 0653999 Thomas Edison State University Calculus II (MAT-232) Section no.: 2018NOV MAT-232-OL011 2018NOV Calculus II (MAT-232-OL011) Semester and year: NOVEMBER 2018 Written Assignment 3 Answer all assigned exercises, and show all work. Each exercise is worth 5 points. Section 9.1 2. Sketch the plane curve defined by the given parametric equations and find an x - y equation for the curve. { 1 2cos 2 2sin x t y t    going to use the range 0 to 2 from the unit circle 3 5 3 7 0, , , , , , , ,2 4 2 4 4 4 4 2 1 2cos ( 1 2cos ) x t x t   2 2 2sin ( 2 2sin ) y t y t    2 2 ( 1) ( 2) 4 x y t x (1 2cos ) t y ( 2 2sin ) t 0 3 -2 4 2.414 -0.586 2 1 0 3 4 -0.414 -0.586 -1 -2 5 4 -0.414 -3.414 3 4 1 -4 7 4 2.414 -3.414 2 3 -2
WA 3, p. 2 8. Sketch the plane curve defined by the given parametric equations, and find an x - y equation for the curve. { 2 2 1 1 x t y t 2 1 ( 1) 1 2 t x y x y x x y -2 0 -1 1 0 2 1 3 2 4 12. Sketch the plane curve defined by the given parametric equations, and find an x - y equation for the curve. { 2 t t x e y e (ln) (ln) ln t t x e x e x t 2 1 2 y t y x t x y -2 0.135 54.598 -1 0.368 7.389 0 1 1 1 2.718 0.135 2 7.389 0.018
22. Find parametric equations describing the given curve.
28. Find parametric equations describing the given curve.
WA 3, p. 4 Section 9.2 6. Find the slopes of the tangent lines to the given curves at the indicated points.

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