In Exercises 7-30, identify the conic as a circle or an ellipce Then find the center, radius, vertices, foci, and eccentricity of the conic (if applicable), and sketch its graph. 28. 16x2 + 25y2 - 32x + 50y + 16 = 0

Q: hyperbola, vertices (±3, 0), foci (±6, 0)

A: Equation of hyperbola :x2a2 - y2b2 =1 , when vertices is on the x-axis.

Q: 1. Determine the important parts of the conic and sketch their graph. а. у? + 2х — 10у — 31

A: As per our guidelines we are supposed to answer only one question i.e. the question no 1)a). For the…

Q: etermine which conic is the one whose general equation has only one term raised to the square, that…

A: Given:

Q: 3. identify the kind of conic section being illustrated (circle, parabola, ellipse, hyperbola) by…

A:

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (-3, –4),…

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Q: What is the relation of the conic section to the vase?

A: Let's find.

Q: The graphs of the conics intersect at two points. x² + y? = 9 = 1 4 What are the coordinates of…

A: To find the points of intersection ,first we find y2 from the two given equations and by  equating…

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (−1, −6),…

A: Given: Vertices: -1,-6, -1,8 foci: -1,-7, -1,9   The equation for hyperbola using foci is: |PF1| -…

Q: Amie claims that the equation 4(x+3)' +y² =1 represents a circle with the center at (-3,0) and the…

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Q: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

A: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

Q: Which degenerate conic is formed when a double cone is sliced through the apex by a plane parallel…

A: Given question:- Which degenerate conic section is formed when a double cone is sliced through the…

Q: Identify the type of conic, assuming a > 0: r = 1+ V7sine Ellipse. O Parabola. O Hyperbola.

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Q: Write a step-by-step procedure on how to classify conic sections given their equation in general…

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Q: What are the foci of this conic section?

A: We have to find the foci of the given hyperbola.

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Match each conic section in Exercises 5-8 with one of these equations: 5 + y? = 1, 1, y? x = 1, y2…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (0, ±2),…

A: follow the procedure given below.

Q: In Exercises 1-8 , state whether the given equation defines an ellipsoid or hyperboloid, and if a…

A: Consider the given equation as x2+3y2+9z2=1

Q: what is the most important thing you learn about conics?

A: There are several things we have heard/read in school or somewhere else. These things can be…

Q: find the vertices and foci of the conic section.  x 2/9 + y 2/4 = 1

A: A plane curve generated by a point so moving that the difference of the distances from two fixed…

Q: Identify and sketch the following conic 4x2 - y2 = 16

A: The solution is:

Q: Find an equation for the conic section with the given properties. The hyperbola with foci F1(3, -5)…

A: We have to find the equation of the conic section.

Q: Find all the characteristics(centre,vertices,foci, equation of directories,equation of asymptotes)…

A: solve for x

Q: Create a graphic organizer about the steps that will guide you in classifying a given general conic…

A: Each conic section has its own standard form of an equation with x- and y-variables that you can…

Q: Exercises 1. What kind of conics is given by the equation: 2 = 10

A: Given x2-y2+2y=10

Q: How do I find the focal points of this conic?  27x2+16y2+324x-96y+684=0

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section 9x2 +…

A: To Determine: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic…

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find the standard form of the equation of the conic section satisfying the given conditions:…

A: The focii of the  hyperbola are (0, -10), (0, 10). The vertices of the  hyperbola are (0, -7), (0,…

Q: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

A: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

Q: Name the conic that has the given properties and find its Cartesian equation. Vertices (±2, 0) and…

A: The standard form of the hyperbola with center at origin is .  Here, are the vertices and…

Q: 1. 2x2 + 3y² – 4x + 12y =0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If a conic has rmin = 9 and rmax = 17 , find the eccentricity and semi-major axis.

A: Answer is mentioned below

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: find the vertices and foci of the conic section.

A:

Q: 6. Find an equation of the sphere that passes through the origin and whose center is (3, 1, 3).

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Q: There is one point of intersection in the graphs of the conic (z + 1)² + (y + 2)² = 16 (y+ 2)° = 4…

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Q: What does the eccentricity reveals about the conic?

A: We have to define what eccentricity reveals about the conic

Q: In Exercises 1-8 , state whether the given equation defines an ellipsoid or hyperboloid, and if a…

A: Given the equation x2+3y2=9+z2. We need to find whether the given equation defines an ellipsoid or…

Q: (b) Show that the equation r² – 4x + 4y2 – 12 = 0 represents a conic section. Sketch the conic…

A: To show: The equation x2 – 4x + 4y2 – 12 = 0 represents a conic section.Proof:

Q: Identify the conic section that appears in the drawing of a wooden pencil in the figure.

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Q: I noticed that depending on the values for A and C,assuming that they are not both zero, the graph…

A: Depending on the values for A and C, assuming that they are not both zero, the graph of Ax2 + Cy2 +…

Q: 2. Determine the equation of the conics shown below

A: Given conic is a hyperbola. From the figure, the center of the hyperbola is (h, k) = (-3, 2),…

Q: 40. y² – 16x² + 64x 208 = 0

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Q: What are conic sections. Explain it.

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Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (-1, -3),…

A: If the general equation of the hyperbola is: -(x-h)2a2+(y-k)2b2=1 Then, vertices are at (h, b+k),…

Q: 8. Write the equatlon of an ellipse with minor axis endpoints (co-vertices) at (0, 3) and (0, -3)…

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Q: In Exercises 1-8 , state whether the given equation defines an ellipsoid or hyperboloid, and if a…

A: Given that, x2-3y2+9z2=1 Re-writing the given equation as x12-y132+z132=1…

Q: Write the standard form of the equation of the conic section with the given characteristics. 16.…

A: NOTE: Refresh your page if you can't see any equations. . the standard equation of the left-right…

Q: What is the standard form of the ellipse with center at (0,0),vertex at (0,9) and co vertex (4,0)

A:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.