5. (a) Find the constants a,b,c for the conic r=- Sketch the conic. 5+sin A

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: Sketch the conic section 9x² +4y² 36x + 8y + 4 = 0 Be sure to identify any of the following items…

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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: Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2,…

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Q: Identify the conic with th e given equa­tion and give its equation in standard form…

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Q: 4. Given an equation of a conic in polar formr= f(0), substituting (0 – a) results in a…

A: Given an equation of the conic in the polar form r = f(θ), Substituting θ - α results in a…

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: 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: Write the general conic form equation for a circle with center (3, -1) and radius of 5. x 2 - 6x +…

A: We can find the general form of conic form equation as below.

Q: Find an equation in rectangular coordinates of the conicr = 16/5 + 3 cos θHint: Use the results of…

A: Given conic equation in polar form: r=165+3cosθ

Q: FRIRMO

A: Let's find.

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: Q.8: ] find the parametrization of the upper half of the conic section 4x² +9y²-24x = 0; with x= -2

A:

Q: 8 (1) Find the center of the conic section r = 2-cos(0) (a) (8/3,0) (b) (-8/3,0) (c) (0,8/3) (d)(0,…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 20) Find the coordinàtes of the foci of the conic x² –10x –16y² – 64y – 55= 0

A: We write the given conic in standard form Then we compare it with the standard equation of a…

Q: 3. How can you determine the type of conic section represented by an equation in general form?

A: the general form of the equation of conic sectionis Ax2+Bxy+Cy2+Dx+Ey+F=0

Q: Identify the conic with th e given equa­tion and give its equation in standard form…

A: Given, The equation is 6x2 - 4xy + 9y2 -20x -10y - 5 = 0.

Q: 18 Identify the center of the conic section whose equation is 5x 2 + 9y 2 - 80x + 54y + 221 = 0…

A: Solution is here

Q: 8x^2+3y^2+4x+4y+7=0 identify what type of conic and if not a conic explain why

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Q: 1 a. Showing all 9r2 = (1 + 3r cos 0)². b. Express 9r2 = (1 + 3r cos 0)² in rectangular coordinates.…

A: a. Consider the equation: r=13-3 cos θ

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: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

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Q: Identify the type of conic from the discriminant.* x²+2xy +y² + /2x-/2y-2=0, 6=45° ANSWER: BIlank 1…

A: Given problem Given that   General equation of the conic : Ax2+Bxy+Cy2+Dx+Ey+F =0 Discriminant is…

Q: 3 Determine what kind of conic is represented by the equation r = 1-3sine

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Q: Sketch the conic section 9x² +4y² – 36x + 8y + 4 = 0. Be sure to identify any of the following items…

A: 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: 14 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 3+ 4 cos(8)…

A:

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: entify the coni

A: Given,           x2+16y2-160y+384=0

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

A: Given: The equation of the conic is given as, And the indicated angle is given as,

Q: 20 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 3 – 2 cos(0)

A: Given: r=203-2cos(θ) following image represents the graph for the given equation.

Q: What is the general equation of the conic section passing through the points  A(0,1), B(2,3),…

A: Given points A(0,1), B(2,3), C(5,4), D(1, −2), E(4, −1)   General equation:  ax2 + bxy + cy2 +…

Q: Identify and sketch the conic defined by x2 - 2xy+ y² – x – y=0.

A:

Q: 2. Rotate the coordinate axes to remove the xy-term. Then identify the type of conic and sketch its…

A: (2)  (a) the given equation is x2+4xy-2y2-6=0. Task: To rotate coordinate axes to remove the x-y…

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: 16 5. (a) Find the constants a,b,c for the conic r = - 5-3 cose Sketch the conic.

A: We have to find the values of a, b, c and sketch the curve.

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: Identify and draw the conic r(2 – 2 sin 0 ) = 8.

A:

Q: Use 0 = 30° to write -=1 in the x'y´ plane. The- conic. O 18(x)² +16/3x'y – 2()² – 88=0; ellipse…

A: Here we have to use θ=30° to write x24-y29=1 in the x' y' plane. and identify the conic.

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

A: Given data:     The given equation is: x2-3y2=6 The given angle is φ=60°.     The expression for the…

Q: Locate the center of the conic 49y^2– 4x^2 + 48x – 98y – 291 = 0

A:

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: II. Identify the graph of the following equation as the type of degenerate conic (if it is a LINE,…

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Q: 10. Find the required information and graph: 2x + 2y + 2x + 14y + 17 = 0 Classify the conic section:…

A: Consider the provided equation, 2x2+2y2+2x+14y+17=0 Classify the conic section and find the center.…

Q: For numbers 1 and 2: Choose the graph that corresponds to the given equation of the conic. 1. (x –…

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Q: The conic section whose equation is x2 - 3y2 - 8x + 12y + 16 = 0, is ______. centered on the origin…

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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: 8 Sketch a graph of r Use the graph to write a Cartesian equation for the conic. 1+ 3 cos(8)

A: Sketch the graph of r=81+3cosθ as shown below.

Q: 12 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 2 + 4 cos(0)

A: Given that, the polar equation is r=122+4cosθ. Sketch the graph of r=122+4cosθ as shown below, From…

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…