: Identify the conic section represented by the following equation by rotating axes to place the conic in standard position. 6x2 - 12xy-3y + 54 = 0 (a) Find an equation of the conic in the rotated coordinates. (b) Find the angle of rotation, in degrees, correct to one decimal. (A) The circle = 1 (B) The ellipse -1 (C) The hyperbola - = 1 |10 (D) The ellipse + -1 (F) The Ellipse + = 1 = 1 (E) The hyperbola - 9 6. 6. (G) The hyperbola 10 x2 _ y2 - 1 (H) The hyperbola- = 1 6. 6 6.

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 find the equation of the conic in standard form: vertices at Vi(12, 4) and V2(-10,4),…

A: Given: Vertices: V1 = (12,4) ,  V2 = (-10,4) Foci : F1 = (10,4)  F2 = (-8,4)

Q: 14. Consider the equation: y -8x+2x² –6y+13=0 (a) Show work to determine whether this equation…

A: Given : y2-8x+2x2-6y+13=0

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

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Q: I need help in this question of the conic section. Find the equation of the ellipse whose center at…

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Q: Find an equation for the ellipse shown in the figure. y V (-8, 1) М-3, 4) 5 V(2, 1) - 10 -5 M(-3,…

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Q: 4 5 -4 -3 -2 -10 3 4 5 -2

A: The given function is an absolute value function. The function is 0 at x=1 and at x=1, the function…

Q: 3. Identify the conic using the indicator. By a rotation of the coordinate axes, transform the…

A: Given: The equation of the conic is given by:…

Q: Find the polar equation of an hyperbola with vertices (-30, pi/2) and (30/7, 3pi/2) and with one…

A: Solution Given:Vertices: V1 = (-30, pi/2) and V2 = (30/7, 3pi/2)Focus at the pole (r = 0) Step 1:…

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: Identify the conic by writing its equation in standard form. Then sketch its graph. y² - 4y - 4x = 0…

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Q: Write the conic equation for the ellipse and show work of how you came to find each aspect of it

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Q: 9(X-2) -36

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Q: Write the equation in standard form, identify the conic and the location of its center or vertex:…

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