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Na 4 0 2 3 4 5 5 10 7 TC 4 4 37t 2 Ise the graph to answer the question. Which equation represents

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Na 4 0 2 3 4 5 5 10 7 TC 4 4 37t 2 Ise the graph to answer the question. Which equation represents the given graph? (1 point) 3 Or= 1-3sin & 3 Or= 1 + sin 8 3 Or= 1-3cos & 3 Or= 1+ cos &10- Describe the graph represented by the equation r = ;_(I 1905"" 2 + 3 sin 3 ellipse, horizontal directrix at a distance of i units above the pole 3 hyperbola, horizontal directrix at a distance of i units above the pole 3 hyperbola, vertical directrix at a distance of 2 units to the right of the pole ellipse, vertical directrix at a distance of 2 units to the right of the pole 11. Classify the limaeon represented by the equation r = 2 + 3 sin 6. (1 point) cardioid convex dimpled inner loop N 4 0 2 4 7 TC 4 4 2 Use the image to answer the question. 12. Write the equation for the graph of the limacon. (1 point) Or = 3 +2 cos 0 Or = 3 + 2 sin 0 Or = 2+ 3 cos 0 Or = 2 + 3 sin 0Use the graph to answer the question. 13. Write the equation for the graph of the rose curve. (I point) r=55in20 r=500526 r=400550 r=4sin50 14. Which of the following equations would graph a lemniscate? (1 point) Or? = 9sin 28 Or = 2 sin 9 0 Or? = 9- sin 28 Or = 9 + 2 sin 0 15. Use DeMoivre's Theorem to evaluate the expression V3 cos- 57T +i sin Write the 12 12 answer in rectangular form. O_ 9V/3 9 -i 2 2 O: 9 9V/3 2 2 O 9 . + 2 O 9V/3 216. Using mathematically precise language, explain in detail how you would multiply the complex (3 points) number 21: r1(cos 91 +1' sin 91) with the Complex number 22 = :1"2 (cos 92 +1' sin 52)

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