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7. [-/1 Points] DETAILS LARPCALC10 6.6.056. Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. 4

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7. [-/1 Points] DETAILS LARPCALC10 6.6.056. Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. 4 3 cos + i sin N/ S Need Help? Read It Watch It Submit Answer8. [-/1 Points] DETAILS LARPCALC10 10.2.027. Find the standard form of the equation of the parabola with the given characteristics. 10 Vertex (3, 9) 8 Focus (3, 7) 6 4 2 X -2 2 4 6 8 -2 Need Help? Read It9. [-/1 Points] DETAILS LARPCALC10 10.2.032. Find the standard form of the equation of the parabola with the given characteristics. Vertex: (5, 4); directrix: y = -1 Need Help? Read It Watch It 10. [-/4 Points] DETAILS LARPCALC10 10.2.049. Find the vertex, focus, and directrix of the parabola. Then sketch the parabola. y2 + 8y + 8x+ 32 = 0 vertex ( x, y ) = focus ( x, y ) = directrix11. [-/1 Points] DETAILS LARPCALC1O 10.2.055. Find an equation of the tangent line to the parabola at the given point. Y (6. 365) Need Help? 12. [-11 Points] DETAILS LARPCALC1O 10.3.020. Find the standard form of the equation of the ellipse with the given characteristics. Need Help? 13. [-11 Points] DETAILS LARPCALC1010.3.027. Find the standard form of the equation of the ellipse with the given characteristics. Center: (1, 8); a = 2c; vertices: (1, 0), (1, 16) Z Need Help? 14. [-/7 Points] DETAILS LARPCALC10 10.3.036. Find the center, vertices, foci, and eccentricity of the ellipse. ( x + 1 ) 2 + ( y - 2 ) 2 = 1 11 36 center ( x, y ) = vertices ( x, y ) = (smaller y-value) ( x, y ) = (larger y-value) foci ( x, y ) = (smaller y-value) ( x, y ) = (larger y-value) eccentricity15. [-/1 Points] DETAILS LARPCALC10 10.3.052.MI. Find an equation of the ellipse with vertices (0, 18) and eccentricity e = 1/2. Need Help? Read It Watch It Master It

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