Question

Turn in the following problems at the start of your Thursday recitation section To receive full credit, please staple your work, and put your name, your section number, and the homework number at the top. 1. (a) Find a Cartesian equation for the polar curve 3 sin 4 +4cos 6. (b) Use the Cartesian equation you found in part (a) to graph the curve. What is its geometric shape? 2 Carefully sketch the curve wheose polar equation isr - T cox(6e). Include work that shows S Carcefully sketch the cturve whose polar equation is r - 2+sine. Include work that shows | 4: (a) Sketch the graph of the polar cnrve r ## e. how you drew the graph. beow you drew the graph. b) Find the polar coordinates r, θ) of all points on this curve where the tangent line to the graph is horizontal or vertical. 5. Find the area of the region enclosed by one loop of the curve whose polar equation is 16. Find tlie area of the region that lies insicle the enum whose polar equation is r 3 sin θ and otside the curve whose polar equation ir 2 ino (lint: Finst, sketch the two ouxss on the samst axN and shace the gion of interest)
number 1and2

Answer 1

ci (2,3/

poshons of eaeh leaues 6 0 the a%" 30 6