Find an equation of the conic in the rotated coordinates, and find the angle of rotation. 7x2 + 8xy + 7y² = 33

Q: Find the eccentricity, identify the conic, and equation of the directrix. 1 r = 2 + sin 0

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Q: identify the type of conic, the eccentricity, and the equation of the directrix. r = 8/1 + 4 cos θ

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Q: Graph the line and conic section. r = 4 sec (u + pi/6)

A: General equation of a line is given as y = mx + c, where m is the slope of line and c is the…

Q: Express the following equation in standard form, identify the conic section, and state the locations…

A: Conic section

Q: 4x^2-3y^2-8x+12y+4=0

A: Given the equation of a conic, we have to identify the conic

Q: The :. conic section xy a constant .identify (25+ w2) =D2C+ w is

A: The given equation is xy=2x+5y-25+w2, where w is a constant.   We have to identify the type of the…

Q: Identify each conic without completing the squares and without applying a rotation of axes.

A: These are all in general form:   Ax² + Bxy + Cy² + Dx + Ey + F = 0   The first thing I would look at…

Q: Identify the equation without applying a rotation of axes. 6x² - 10xy + y² +10x+7y-1=0 Choose the…

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Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.x2 + 2xy + y2…

A: Compare the given equation with the standard form: Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 A = 1, B = 2, C…

Q: 6

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Q: Rewrite to standard form by completing the square and identify the conic: a) x² +16y² - 10x +96y +…

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Q: identify each conic without completing the squares and without applying a rotation of axes. x2 + 2y2…

A: x2 + 2y2 + 4x - 8y + 2 = 0

Q: Rotate the coordinate axes to remove the xy- term, then identify the type of conic and sketch its…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: identify each conic without completing the square or rotating axes.  2x2 + 5xy + 3y2 + 3x - 7 = 0

A: The equation given to us is   2x2 + 5xy + 3y2 + 3x - 7 = 0

Q: identify each conic without completing the squares and without applying a rotation of axes. x2 - 2xy…

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Q: (x-3)² 1) 6-4)² =D1 16 196 (x+ 1)² ¸ (y – 8)² 3) 9. =D1 %3D 81

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Q: y? – 4y + 4x 16 = 0 is the equation of a conic. Write the standard form of that conic. |

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Q: be the equation 12x2 + 12x y + 7y2 − 4x + 6y − 1 = 0. a)  Determine the nature of the conic. b) Find…

A: The solution are next step

Q: equation

A: Please refer to the image below

Q: Identify the conic section represented by the equation by rotating axes to place the conic in…

A: Consider the given equation.

Q: Use the Principal Axes Theorem to perform a rotation of the axes to eliminate xy term in the…

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Q: Find the equation of the conic in the rotated system that eliminates the cross-product term and find…

A: Given

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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Q: identify each conic without completing the squares and without applying a rotation of axes. 9x2 -…

A: Given equation is             9x2-12xy+4y2+8x+12y=0

Q: Identify each conic without completing the squares and without applying a rotation of axes.

A: Consider the equation Ax2+Bxy+Cy2+Dx+Ey+F=0. If B2-4AC<0, the conic section is an ellipse. If…

Q: For the conic given by the equation 25(x-2)^2+9y^2 =225, find an equation for the conic section…

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Q: Identify each conic without completing the squares and without applying a rotation of axes.

A: The general equation of all the conic sections in xy-plane is Ax2+Bxy+Cy2+Dx+Ey+F=0. This conic…

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.7x2 − 6√3xy +…

A: Given that, 7x2 − 6√3xy + 13y2 − 64 = 0 Compare the given equation with ax2 + bxy + cy2 + dx + ey +…

Q: identify the type of conic, the eccentricity, and the equation of the directrix.  r = 12/4 + 3 cos θ

A: To find: The type of conic, the eccentricity, and the equation of the directrix. Given information:…

Q: identify the type of conic, the eccentricity, and the equation of the directrix.  r = 8/4 + cos θ

A: Given: r = 84 + cos θ To identify: The type of conic, the eccentricity, and the equation of the…

Q: Find the equation of the following conic in GENERAL form. The foci are (1, -4) and (5, -4); the…

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Q: identify the type of conic, the eccentricity, and the equation of the directrix. r = 8/4 + 3 cos θ

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Q: Find the constants a,b,c for the conic r = 120 5+ sin 0 Sketch the conic.

A: As per the question we are given the polar form of a conic, and from that we have to find the…

Q: Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated…

A: Since,  This implies,  Since the coordinate axes are rotated through  , so equation of x and y can…

Q: lyze and graph the new equation. 16x - 10/3xy+6y - 1=0 Enter the angle of rotation that eliminates…

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Q: Identify the conic sections represented by the following formula a) 2x^2– 8xy + 4x = 12 b) x^2 +…

A: Given query is to find the equations which represents conic (circle).

Q: Identify the conic sections represented by the following formula a) 2x2 – 8xy + 4x = 12 b) x? + y -…

A: General form of any conic is given as- ax2+2hxy+by2+2gx+2fy+c=0—(1) We need to identify the conic…

Q: Determine the length of the latus rectum and distance between the foci of the conic section: 16x^2…

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Q: Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters,…

A: Please see the explanation below

Q: C. 3x2 - 4x + 2y + 4 0

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Q: Identify the conic and write its equation in rectangular coordinates: r 2 - 2 cos 0

A: r=12-2cosθ⇒r=121-cosθ⇒r=121-cosθ Comparing with r=ep1-ecosθ, we get e=1&ep=12⇒1p=12⇒p=12 Since…

Q: Find the focus, orientation and external conic x?_2ny +y?+2xbys3Q 1. center of the

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Q: A. Write this equation in standard form: ? – 4y + 6x- 8y +1= 0. Show all of your work. B. Which type…

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Q: be the equation 12x2 + 12x y + 7y2 − 4x + 6y − 1 = 0. a)  Determine the nature of the conic. b) Find…

A: Given

Q: 5. Write the following equations in standard form and identify the corresponding conics a) x² – 4x +…

A: The given equations can be converted into standard forms by the method of completing square of x and…

Q: Given 2x? + x y + 2y? = 1, a) identify the conic, b) determine the angle of rotation a, and c)…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.