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6a&b) Sketch the graph of the polar equation and find the tangents at the pole. r=2sin...
all parts please PART II 7) (8 pts) Given the polar equation r = 6 sin θ, 0 θ π a) Graph and find the length of the graph geometrically. b) Find the length of the graph by integrating. 8.) (9 pts) Given the four-leaved rose r 2sin(26). a) Show the symmetries. b) Find the tangents of the leaf through the pole to determine the limits of integration. c) Find the area of one leaf. PART II 7) (8 pts)...
Test for symmetry and graph the polar equation r=9cos (20) a. Is the polar equation symmetrical with respect to the polar axis? O A. No O A No OB. May or may not be symmetrical with respect to the polar axis OC. Yes b. Is the polar equation symmetrical with respect to the line ? મ O A. May or may not be symmetrical with respect to the line = OB. No OC. Yes c. Is the polar equation symmetrical...
(a) Find the points on the polar curve r = 2(1 – cos(0)) where the tangents are horizontal. (b) Find the points on the polar curve r = 2(1 - cos(0)) where the tangents are vertical. (c) Find the length of the curve. FIGURE 3. r = 2(1 - cos(O)).
13) Sketch the graph of the polar equation r = 2. Label two points.
Show all work please! 1. Graph the polar equations r = 3-2sin(0) and r = 2. Find and label any key points that you will need to find the area that lies in the common interior of the two polar curves. Set up the integral(s) and please show all the work to integrate and evaluate your integral manually.
2. Carefully sketch the curve whose polar equation is r -7 cos(6). Include work that shows how you drew the graph. 3. Carefully sketch the curve whose polar equation is r 2+sin . Include work that shows how you drew the graph. 2. Carefully sketch the curve whose polar equation is r -7 cos(6). Include work that shows how you drew the graph. 3. Carefully sketch the curve whose polar equation is r 2+sin . Include work that shows how...
For the polar equation r= 1-sinθ a) Sketch the graph for 0 ≤ t ≤ 2pi b) Find the points on the cardioid where the tangent line is horizontal c)Find the equation of the tangent line when theta=pi/3
Convert the polar equation to rectangular form and sketch its graph. Convert the polar equation to rectangular form and sketch its graph.
Stir or the curve r θ; from θ 0 to θ 2π. 8. Find the eccentricity and classify the conic, and sketch the graph labeling the vertices. 12 6-2sin(8) Find the eccentricity and classify the conic, and sketch the graph labeling the vertices. Find the errentricit 5. Stir or the curve r θ; from θ 0 to θ 2π. 8. Find the eccentricity and classify the conic, and sketch the graph labeling the vertices. 12 6-2sin(8) Find the eccentricity and...
11. Sketch the graph of the polar equation by plotting points. Complete the table. r = 4 sin e o 0° 30° 45° 60° 75° 90° 1050 1200 135° 150° 1800