Module 9: Conic Scctions 4. What are the center and radius of the circle given by x2 + y - 16x + 8y + 4 = 0? O (8, -4); 2v19 O (8, 4); 76 O (-8, -4); 2 O (-8, 4); 4

Q: Match conic section with one of these equations: x2/4 + y2/9 = 1, x2/2 + y2 = 1, y2/4 - x2 = 1, x2/4…

A: Given a figure and four equations as follows ;  x24 + y29 = 1        [Equation 1]x22 + y2 = 1…

Q: Solve for the standard equation of the given characteristics of each conic then graph. Show complete…

A: The standard form of the parabola is: (y-k)2=4a(x-h) Where, Focus is at (a+h, k) Axis is at y = k…

Q: b) Find an equation for the conic that has center at (0, 0); major and minor axes along the…

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Q: Solve for the standard equation of the given characteristics of each conic then graph. Show complete…

A: The standard form of the equation of the circle tangent to both axes at (−3, 0) and (0, 3)

Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: Find the center, vertices and foci of the ellipse x? +4 y? - 6 x - 16 y = 39 Select one: O Center =…

A: The standard form of an ellipse whose major axis is parallel to the x-axis is given by  . If then…

Q: the type of conic section whose equation is giv x² - 2x + 2y² - 20y + 49 = 0 rabola ipse perbola…

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Q: 10. Which is the equation of a hyperbola with co-vertices at (0, 7) and (0,-7) and a transverse axis…

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Q: Solve for the standard equation of the given characteristics of each conic then graph. Show complete…

A: Circle equation

Q: 8. Find the required information and graph the conic section: 4y? +x - 32y + 68 = 0 Classify the…

A: The given equation is 4y2+x-32y+68=0. Rewrite the above equation as follows.…

Q: Find a rational point on the plane conic 2x2+y? = 6 other than the points (+1,±2). Show all your…

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Q: FINO THE OLUME FORMED BY REVOCVING THE HYPERBOLA xy - from to X=4 about the y- uxis

A: Here the curve is xy=6 and x changes from 2 to 4. we have to find the volume of the given curve

Q: Describe what kind of conic section is the graph of 5x2 − 4xy + 8y2 − 36 = 0. by using linear…

A: We need to find the nature of the conic section for  the graph of 5x2-4xy+8y2-36 =0.

Q: What specific (include direction/opening and vertex/center) conic section is 4x + y + 72x + 14y +…

A: topic- algebra

Q: What are the foci of this conic section?

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

Q: 3 r +6 -을V16-(y-2)2

A: Topic - conics

Q: Activity 2 Classify the graph of the equation as circle, a parabola, an ellipse, or a hyper Show…

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Q: By differentiating implicitly, find the slope of the hyperboloid x² + y? - z2 = 1 in the x-direction…

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Q: Solve for the standard equation of the given characteristics of each conic then graph. Show complete…

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

Q: 2. Find the required information and graph the conic section: y= 2x - 8x+4 Classify the conic…

A: Consider the given conic section y=2x2-8x+4

Q: 10 The conic whose equation is x 2 + y 2 = 36 is a point-circle a circle an ellipse

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Q: Deandre, an engineering intern was asked by his fellow students to heip them determine the standard…

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Q: ed 2. For a conic defined by r = the directrix is (horizontal/vertical) with equation - ecos e

A: The polar equation is r=ed1-ecosθ

Q: Find an equation of the conic described;graph the equation.

A: The graph of Ax2+Cy2+Dx+Ey+F=0 is one of the following.a. Circle: A=Cb. Parabola: AC=0, A=0 or C=0…

Q: 4. 6리2x+6y-244-6-O

A: Given conic:                           6x2 - 12x + 6y2 - 24y - 6 = 0              =>        x2 +…

Q: Determine the length of the latus rectum of the following conic section: 16z + 9y? - 64.x- 54y+1 0 O…

A: 16x2+9y2-64x-54y+1=016x2-64x+9y2-54y=-116(x2-4x)+9(y2-6y)=-116(x2-4x+4)+9(y2-6y+9)=-1+64+8116(x-2)2+…

Q: If P1 and P2 are two points on the conic whose angles θ1 and θ2 differ by 180° , show that the…

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Q: identify the kind of conic section being illustrated

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Q: Identify the conic section and graph. (x+7)^2/5^2+(y+3)^2/3^2=1

A: On simplification, we get Now it is in the form of . Therefore it represents an ellipse.

Q: 11. Graph the Conic. Indicate and label ALL important information. (x – 3)2 + 4 (y + 2)2 = 4

A: Given the equation of ellipse  We rewrite the equation

Q: 1. The Greek mathematician Menaechnus (350 B.C.) obtained a purely theoretical solu- tion to the…

A: To justify Manaechnus's geometric method to solve "dublication of cube" problem

Q: Match conic section with one of these equations: *+ y = 1, x y? r? = 1, Then find the conic…

A: Since it is a horizontal transverse axis hyperbola, therefore equation is x24-y29=1. Now comparing…

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

A: First, we write x and y terms together, so it becomes, x2 - 4x + y2 - 4y = -4 By using completing…

Q: 7. that has its center at the origin and satisfies the given condition. Vertices V(0,±3) and foci…

A: A detailed solution is given below.

Q: Determine the equation (both standard and general) of the following conic sections based on the…

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Q: 4. 6x2 - 4y? - 12x - 16y = 34 %3D

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Q: 2. What are the foci of this ellipse? 5 -5 O (-1, –4V5) and (–1, 4v5) O (-1, –2/5) and (-1,2/5) O…

A: By carefully examining the figure we will find that the major axis should pass through the line x =…

Q: d the standard form of the equation of the circle, if the center of the circle of radius 3 lies on…

A: Here we have to find the standard equation of the circle if the center of the circle of radius 3…

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: 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: ution. 2. CENTER AT (-3, 4); V(-10, 4) length of conjugate axis = 9 y a = b = C = (h, k) = Vertices:…

A: Given:- Center (-3, 4) , V(-10, 4), Length of conjugate axis is 9 To find:- a, b, c, (h, k) ,…

Q: what type of quadric surface is the following: y² - (z²/3) = 1 + (x²/12) write the equation of its…

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Q: Part 1 of 8 By re-ordering the sphere equation, we have z- 100 - - y, We can then parameterize this…

A: We have to parameterize the given equation z2 = 100 - x2 - y2.

Q: What are conic sections. Explain it.

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Q: 3. Suppose we have Conic described by 2nd-degree equation in the plane : 9y2 + 4x2 = 16 a. Find the…

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Q: 2. 3x + 5y? - 6x – 20y + 25 = 0

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Q: 11) Find the eccentricity, identify the conic, sketch the conic, labeling the vertices, foci,…

A: The given curve is: r=45-4sinθ                                   (1) The general equation of a conic…

Q: O 5. Which is the corresponding equation of a hyperbola with vertices at (11, 0) and (-11, 0) and…

A: We have given the vertices and co- vertices of the hyperbola .

Q: Find the standard form of the equation of the circle tangent to both axes at (−3, 0) and (0, 3).Then…

A: Consider that the circle is a tangent to both the axes at (-3,0) and (0,3). The objective of this…