For Exercises 1-8, identify each equation as representing a circle, an ellipse, a hyperbola, or a parabola. If the equation represents a circle, identify the center and radius. If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity. If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity. If the equation represents a parabola, identify the vertex, focus, equation of the directrix, and equation of the axis of symmetry. x − 2 2 16 − y + 2 2 9 = 1
For Exercises 1-8, identify each equation as representing a circle, an ellipse, a hyperbola, or a parabola. If the equation represents a circle, identify the center and radius. If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity. If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity. If the equation represents a parabola, identify the vertex, focus, equation of the directrix, and equation of the axis of symmetry. x − 2 2 16 − y + 2 2 9 = 1
Solution Summary: The author explains the equation of a conic section as (x-2)2.
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13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
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11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
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The sides of a cube of ice are melting at a rate of 1 inch per hour. When its volume is 64 cubic inches, at what rate is its volume changing?
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