Chapter 11, Problem 33RE

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Part III: Equation Conversions 4 1. Convert r= into a rectangular equation. 2-sin0 2. Convert 2x - 3y = 5 into a polar equation.

In Exercises 11-20, use a polar coordinate system like the one shown for Exercises 1-10 to plot each point with the given polar coordinates. 11. (2,45°) 12. (1,45°) 13. (3.90°) (2) (-1=) (4) (-2-) 4 15. (3, 3 16. (3, 6. 14. (2,270°) 37 17. (-1, 7) 18. 19. 2 20. (-3, —я)

The Ferris Wheel ride at a carnival sits 3 meters above the ground and sends riders to a maximum height of 33 meters in the air. The equation y = 15sin(x) + 18 models the height of a rider with respect to the rotation of the ride and is represented as a graph in the xy-coordinate plane below

Replace the polar equation with an equivalent Cartesian equation. r = 40 sin 0 O(x-20)2 + y² = 400 O y = 40 x² + (y-40)² - 400 Ox²+(y-2012 400

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