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Problem 30

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Vertical axis and passes through the point (-3,-3)

Problem 30

Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. Round your results to two decimal places. \((4,11 \pi / 9)\)

Problem 30

Find the inclination \(\theta\) (in radians and degrees) of the line. \(\sqrt{3} x-y+2=0\)

Problem 30

Sketch the graph of the polar equation using symmetry, zeros, maximum \(r\) -values, and any other additional points. \(r=4(1-\sin \theta)\)

Problem 30

Identify the conic as a circle or an ellipse. Then find the center, radius, vertices, foci, and eccentricity of the conic (if applicable), and sketch its graph. \(\frac{x^{2}}{16}+\frac{y^{2}}{81}=1\)

Problem 31

Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. Round your results to two decimal places. (-4.5,1.3)

Problem 31

Identify the conic as a circle or an ellipse. Then find the center, radius, vertices, foci, and eccentricity of the conic (if applicable), and sketch its graph. \(\frac{x^{2}}{25}+\frac{y^{2}}{25}=1\)

Problem 31

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Horizontal axis and passes through the point (-2,5)

Problem 31

Use a graphing utility to graph the polar equation. Identify the graph. \(r=\frac{3}{-4+2 \cos \theta}\)

Problem 31

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin. Vertices: (±1,0)\(;\) asymptotes: \(y=\pm 5 x\)

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