Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 11x2 – 6xy + 11y2 – 45 = 0 (a) Identify the resulting rotated conic. hyperbola parabola ellipse (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) 14(x)² + 8(y )² – 45 = 0 x

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

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

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

A: Given - The quadratic equation 9x2 - 14xy + 9y2 - 48 = 0 To find - Use the Principal Axes Theorem to…

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

A: Given quadratic equation is 10x2-18xy+10y2-45=0

Q: A certain conic that has been rotated out of the standard position has the following equation in the…

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

A: The given equation is . The Principal Axes Theorem states that , for a conic whose equation is ,…

Q: Select the conic section represented by the equation. 7x 2 + 7y 2 + 3x - 5y - 1 = 0 hyperbola…

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

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

A: Given equation  9x2-10xy+9y2-46=0 The conic section with equation ax2+bxy+cy2+dx+ey+f=0 the…

Q: (b) The equation 7x2 - 3xy + 5y² + 4x - 16y- 121 = 0 represents a non-degenerate conic. (i)…

A: We have to find the type of conic of given equation

Q: Write the equation in standard form 4y2-9x2-18x-8y-41=0

A: 4y2-9x2-18x-8y-41=04y2-8y-9x2-18x-41=04y2-2y-9x2-2x=41y-129-x--124=1y-1232-x+1222=1 The equation…

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

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

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Q: Select the conic section represented by the equation. 5x 2 + 9y 2 - 80x + 54y + 221 = 0 point…

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

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

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Q: Write the general conic form equation for a parabola with vertex at (2, 2) and focus at (1/2, 2). y…

A: Given problem:- Write the general conic form equation for a parabola with vertex at (2, 2) and focus…

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

A: ANSWER:

Q: Identify the conic section given the general form of its equation: 26x2-5y2-61x +361y-1072=0 a.…

A: 26x2-5y2-61x+361y-1072 = 0 is the given equation.

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

A: If we rotate the axes through an angle θ then old co ordinate of a point p(x,y) will change to…

Q: 2. a) Identify the conic, write in standard form and graph it: 16x? + 4y² – 64x – 24y + 36 = 0. b)…

A: a) Given: 16x2+4y2-64x-24y+36=0   To find: Standard equation of conic curve and graph it.

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

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Q: x2 + y2 - 200x - 52500 = 0,

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Q: III. Give what is asked. 6. Write the general quadratic equation for which A=2, B=0, C=0, D=-4,…

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Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 circle hyperbola line…

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Q: Identify and sketch the graph of the conic section.4x2 + y2 + 32x + 4y + 63 = 0

A: Now it is in the form of

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: a. Rewrite the equation 4x2 + 10xy + 4y2 - 9 = 0 in a rotated x′y′-system without an x′y′-term.b.…

A: The rectangular co-ordinate system can be rotated keeping the origin same, only the axes are rotated…

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

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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 and sketch the graph of the conic section.4y2 − 2x2 − 4y − 8x − 15 = 0

A: On simplification, we get

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

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Q: 1. Write the equation in standard form by completing the square, and identify the conic section it…

A: (a + b)2 = a2 + 2ab + b2 a. 4x2 - 8x - 3y2 + 12y + 4 = 0     (2x)2 - 2(2.2x) - (sqrt(3)y)2 +…

Q: B. Find the general equation of the following conic with the given properties. 2. A hyperbola with…

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Q: Select the conic section represented by the equation. 16x 2 - 9y 2 + 64x + 18y - 89 = 0 circle…

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

A: Consider the given information: The given quadratic equation is, 10x2-6xy+2y2-46=0

Q: Solve the components of the given equation of conic sections and sketch the graph: a. x2 + y2 – 10x…

A: Given

Q: Find the solution set of the following system of equations. Sketch the graphs of the conic sections…

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Q: 5. (a) How can you tell whether the following nondegenerate conic is a parabola, an ellipse, or a…

A: (a) Given: General second degree equation Ax2+Cy2+Dx+Ey+F=0(i) 0-4AC=0   ⇔  e=1  ⇔the conic is a…

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

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Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 line hyperbola circle…

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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 and sketch the graph of the conic section.4x2 − y2 + 8x − 6y + 4 = 0

A: Given: 4x2-y2+8x-6y+4=0 for drawing graph of given curve first we convert given expression in…

Q: I graphed 2x2 - 3y2 + 6y + 4 = 0 by using the procedure for writing the equation of a rotated conic…

A: The given equation is  2x2 - 3y2 + 6y + 4 = 0 . Note that there is no xy terms in the above…

Q: (b) The equation 7x2 – 3xy + 5y² + 4x – 16y – 121 = 0 - represents a non-degenerate conic. (i)…

A: (i) If a conic Ax2+Bxy+Cy2+Dx+Ey+F=0 is non degenerate then the following condition holds.

Q: Identify and sketch the graph of the conic section.2x2 − y2 + 4x + 10y − 22 = 0

A: Given: 2x2-y2+4x+10y-22=0 for drawing graph of given expression first we convert in standard…

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: Identify the conic section whose equation in standard form is x 2 + 2y 2 - 3x + 8y = 10. ellipse…

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

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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.