2. 4y2+ 169x² – 338x + 32y = 536 Center: %3D Vertices: Co-vertices: Foci: Length of major axis: Length of minor axis:

Q: The solid whose base is the triangle with vertices (0, 0), (2, 0), and (0, 2), and whose cross…

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Q: What is the area of the region bounded by the ellipse with the equation x^2+9y^2+3x-18y+9=0

A: Topic:- area of ellipse

Q: The intersection of the sphere (x-3)^2 + (x+2)^2 + (z-1)^2 = 49 with each of the coordinate planes…

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Q: 5. If the receiver is placed at the focus of the satelite dish shaped like a paraboloid which has a…

A: Let's find.

Q: Find center, foci , vertices, asymptotes and radious of 2x? + 2y² – 28x + 12y + 114 = 0

A: Given: 2x2+2y2-28x+12y+114 = 0

Q: 2. Consider any five points P1, Ps in the interior of a square S of side length 1. Show that one can…

A: To solve this problem we use the Pigeonhole principle . Pigeonhole principle : If there are m holes…

Q: The surface z -- =1is a hyperboloid of two sheets. Select one: OTrue OFalse

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Q: A flashlight is shaped like a paraboloid and the light source is placed at the focus so that the…

A: Given the flashlight is shaped like a paraboloid and the light source is placed at the focus so that…

Q: Show that the image of the hyperbola x² - y² = 1 is the transiscate p² = cos24.

A: Introduction: An hyperbola is another significant conic section. It has Cartesian as well as polar…

Q: Graph the Image of APOR after a rotatilon 270° counterclockwise around the origin. 10 -10 一4 -2 2. 4…

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Q: B) Use Lagrange multipliers to find the points on the ellipse 2x2+y? = 1, where f (r, y) = ry has…

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Q: The question is about Lagrange multipliers. Use the Lagrange multipler method to locate the point on…

A: The question is about Lagrange multipliers. Use the Lagrange multipler method to locate the point on…

Q: 2. Consider any five points P1, Ps in the interior of a square S of side length ... 1. Show that one…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Consider the accompanying graphs of y = 2x + 3 and y = In x. Determine the %3D a. minimum vertical…

A: (a) Given information:

Q: 4 Show that the equation of the sphere circumscribing the tetrahedron whose faces are y+z=0, z+x3=0,…

A: Find the four vertices of the tetrahedron.  Making four equation.  Then write it in matrix form.…

Q: Find the minimum distance from the point (2, 4, 10) to the paraboloid given by the equation z = x +…

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Q: The surface z² = 1 is a hyperboloid of 36 25 one sheet. Select one: True False

A: The hyperboloid of one sheet given by the equation x2A2 + y2B2 - z2C2 = 1

Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: Let's find lowest and highest temperature by using langrange multipliers.

Q: 5(c) Find the rectangle with the largest area that can be inscribed in the top half of the ellipse ²…

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Q: 6. Given a rule x2 + y2 = 9, its image rule x2 + y2 – 2x + 6y + 1 = 0 under a translation, state a…

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Q: 4 and Consider the region in the second and third quadrants between the circles x² + y² = x² + y² =…

A: Concept: cartesian coordinates can be converted into polar coordinates using trigonometric functions…

Q: A surface in R³ is defined by the equation 4z = x² + 4y“.

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Q: If A = 4a, + 3a - 5az; the component of A perpendicular to the surface z = 2 is; %3D Select one: O…

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Q: Given hyperbola   (y + 1)2   −   (x − 2)2   = 1       9                4         what will its…

A: Given: An equation of the hyperbola, y+129-x-224=1.

Q: 1.) A gateway is a parabolic shape whose vertex is 20 ft. From the ground, (0,20), and the width of…

A: Given, a gateway  is a parabolic shape whose vertex  is 20 ft. From the ground, (0, 20), and the…

Q: Given : The region is bounded by the curve y=4x-x^2, y=4 and the y-axis Problem : The intersection…

A: We have to determine the points of intersection of the given curves and find the value of a+b+c.

Q: 1-Sketch the following conic sections: y2 - 4y +8- 4x2 = 0

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Q: 2. x = --(y+ 4)² + 5 y Vertex: Opens: Focus: Directrix:

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Q: The Hubble Space Telescope was launched into space in 1990 and now orbits the Earth at 5 mi/sec at a…

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Q: A surface in R³ is defined by the equation 4z = x² + 4y².

A: Given:-                 The surface in  is given by  . Sketch the intersections (traces) of this…

Q: Find the radius and center of the sphere described by 3x2 + 3y2 + 3z2 + 6x – 6y = 3.

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Q: An equation for the level surface passing through the point (2,0, - 1) is z =

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Q: 2. What is the equation of a horizontal hyperbola with (x-4)² 81 (y + 3)² 81 (x-4)² 25 (x-3)² 25 (y…

A: Given problem:- What is the equation of a horizontal hyperbola with a center at (4,-3), a transverse…

Q: 4y² dA, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)

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Q: What kind of conic section (or pair of straight lines) is given by the quadratic form Q(x1, x2) = x…

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Q: Identify the surface that corresponds to the equation 100y^2 - 25x^2- 4z^2 = 1. O elliptic…

A: To identify the surface that corresponds to given equation- 100y2-25x2-4z2=1.

Q: Consider AB in the coordinate plane below. 10 4. 2. A -10-9 -8-7 l0 1 -1 -5-4-3 -2-1 2. 4. 10 -2 -3…

A: Given: AB¯

Q: Sketch the solid described by the given inequalities. 3sps 4, os ps a/3, 0S0SR 1.5 21.0 0.5 00…

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Q: 1- Sketch the following conic sections: 2-4y+8-4x2- b- y2 -4y-4x2 = 8 C- 3(y-s)2 -7(x+1)2 =1

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: 2. x = --(y+2)² + 7 Vertex: Opens: Focus: Directrix:

A: Given,  x = -14y+22+7   We have to find vertex, opens, focus and directrix. and graph the function.…

Q: 1. Which Is the corresponding equation of a hyperbola with co-vertices at (0, -6) and (0, 6) and a…

A: Given, The co-vertices of the hyperbola are 0, -6 and 0, 6  and transverse axis is 20 units long.…

Q: caculate and generate the graph of following general cylinders and surfaces in three dimensions.…

A: Given equations are  1. 9x^2 + 4y^2 =36 2. z=16-x^2 3. 9x^2 + 4y^2 +z^2 =36 4. 9x^2 + 9z^2 - 4y^2…

Q: 8.44.) In Ax² + Cy² + Dx + Ey +F = 0, show that if A and C have the same signs, then the graph of…

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Q: The graph of x + z² = 1 is an ordinary right circular cylinder. Indicate axis of the cylinder lies…

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Q: (Note: Round all answers to the nearest hundredths if necessary.) 9z - 36z – 16y-64y+116= 0 1)…

A: given equation 9x2-36x-16y2-64y+116=0 claim-  1) standard equation 2) center 3) vertices , axis

Q: By differentiating implicitly, find the slope of the hyperboloid 22 + y? – 22 = 1 in the x-direction…

A: We have to find slope of the hyperboloid x2+y2-z2=1 in the x-direction at the points (a) 1,2,2 (b)…

Q: 9z-36z-16y-64y+116 0 1) standard equation: (y+ (x+ 2) Center. ( 3) vertices: axis: 4) foci = 5)…

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Q: In the 3D coordinate system, for the quadric with euqation ax2 + y2 + 4z2+x + 6y − 4z = −a − 10…

A: The quadric with equation ax2 + y2 + 4z2+x + 6y − 4z = −a − 10 where a is a parameter. We need to…

Q: Find the dimensions of the rectangie of largest area that can be inscribed in the ellipse x + 256y =…

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Q: To describe the triangular region whose vertices are (0,0), (2,2), and (-2,2) we use the following…

A: We have to describe the triangular region whose vertices are 0,0,2,2 and -2,2