Q: What.conic section is described by the follawing equation 4z +y |8z | 4y=15 K ASperbola D Ellipse…
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Q: 2) Find the parametric and symmetric equations for the line through (1, –1, 1) and parallel to the…
A: Solved below
Q: Find center, foci , vertices, asymptotes and radious of 2x? + 2y² – 28x + 12y + 114 = 0
A: Given: 2x2+2y2-28x+12y+114 = 0
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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: 8. Determine the Equation of the Hyperbola if the Transverse Axis is 8 and the Foci are at (0, ±6)
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Q: 19. What type of conic section is given by the equation 4x+ 9y = 36? What are its domain and range?…
A: General equation of an ellipse is given by, x2a2+y2b2=1 Domain of a function y=f(x) is the set of…
Q: Find the required information and graph: , (x+3)² + (y – 1)² = 9 ssify the conic section: Center:…
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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: 3. Si x= c,cos4t + c2sin4t es una familia biparamétrica de soluciones de x|| + 16x = 0. Determine…
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Q: 27 4) and has directrix at Find the equation for the parabola that has its focus at the 11 equation…
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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: 3 r +6 -을V16-(y-2)2
A: Topic - conics
Q: Find the slope of the line tangent to the conic section 25 (x+3), (y+2)² = 1 at (3,8). 36
A: We find the slope of tangent to the given conic with the help of calculus .
Q: tangent to the parabola y=x^2
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Q: Q. 4. Describe the loci zz – 2z – 27 – 8 = 0 expressed in terms of conjugate coordinates z, z.
A: Given: Let, Then, From the given expression.
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Q: hyperbolic paraboloid by matching the equation with one of the forms given in Table 11.7.1. State…
A: As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…
Q: 2. x = --(y+ 4)² + 5 y Vertex: Opens: Focus: Directrix:
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Q: Graph the elliptical cylinder in 3 dimensions
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Q: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.
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Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).
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Q: 2. Which conic section is represented by x2 + 6y-7 0? Circle Hyperbola Ellipse Parabola
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Q: The conic section whose equation is 3x 2 - y 2 - 27 = 0 has a latus rectum equal to 9 18 6
A: Given: Conic section : 3x2-y2-27=0 To find latus rectum
Q: 2. 4y2+ 169x² – 338x + 32y = 536 Center: %3D Vertices: Co-vertices: Foci: Length of major axis:…
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: A line tangent to the hyperbola 4x² −y² = 36 intersects the y-axis at the point (0, 4). Find the…
A: Consider the given hyperbola 4x2-y2=36 Let the point Pα, β be on the the hyperbola. To find the…
Q: 5/ Find the point at which the line through points P1(2. 3, 0) and P2 (-6. -3, 12) meets the plane…
A: Consider the points P12,3,0 and P2−6,−3,12
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: Find the equation of the sphere if one of its diameters has endpoints (7, -2, 8) and (9, 2, 14)…
A: Given: The sphere diameters has endpoints (7,-2,8) and (9,2,14) which has been normalized so that…
Q: Identify the type of conic section whose equation is given and find the vertices and foci. y? – 2 =…
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Q: Ellipses
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Q: Find the equation of the xy-trace of the sphere. (x + 2)2 + (y + 1)2 + (z − 3)2 = 25
A: The equation of the sphere: - The general equation of a sphere is (x – a)2+(y-b)2+(z-c)2=r2 if (a,…
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: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 9. 2. 25…
A: The vertex of ellipse x2a2+y2b2=1 is a point at which it makes its maximum turn. Let a>b. Then…
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: By differentiating implicitly, find the slope of the hyperboloid x+y-z =1 in the X-direction at the…
A: Given : Hyperboloid x2 + y2 - z2 = 1 Points 1,5,5 and 1,5,-5 To find : Slope of hyperboloid in…
Q: 1. Parallelogram JKLM with vertices J(-1, 8), K(5, 6), L(7, -2), and M(1, 0); scale factor: k = ½,…
A: Here, the coordinates of Parallelogram JKLM J(-1,8), K(5,6),L(7,-2) & M(1,0). Now, the scale…
Q: 1. Create 1 situational problem on conics (i.e. 1 on circle and 1 on parabola or 1 on ellipse or 1…
A: 1. Question 1. Consider the circle with equation x2+y2=4, find the area of the circle and verify…
Q: 1. Create 2 situational problems on conics (i.e. 1 on circle and 1 on parabola or 1 on ellipse or 1…
A: 1. Question 1: Calculate the area of the circle x2+y2=4 and verify that the area of a circle is πr2,…
Q: 8. Consider the parabola whose equation is y=x² -4x and the line whose equation is y=2x+b, where b…
A: y=x2-4x & y=2x+b Put y=2x+b in y=x2-4x, we get ⇒2x+b=x2-4x⇒x2-4x-2x-b=0⇒x2-6x-b=0 To intersect…
Q: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 3 4x + y…
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Q: 7. Rhombus FGHI with vertices F(6, -1). G(11, -3). H(13, -8). and (8. -6): scale factor = 2,…
A: Dilations involve multiplications. Scale factor 2 means every coordinate of original figure has to…
Q: Find the shortest distance from the point (2,0,–3) to the plane x + y + z = 1. . Use Lagrange…
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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: Deandre, an engineering intern was asked by his fellow students to heip them determine the standard…
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- A long suspension bridge 180 meters from end,has towers 60 meters tall,where suspension cables are attached at the top of each tower.The cable from a parabolic curve and the lowest point of the cable is 15 meters from the surface of the bridge. Which set of information is true to the scenario described?parametrically define the elliptic hyperboloid of 2 sheets given by 4x^2-y^2-z^2 = 1What is the equation of family of central conics with common foci and axis. Determine its orthogonal Trajectory using differential equation.
- A flashlight is shaped like a paraboloid and the light source is placed at the focus so that the light bounces off parallel to the axis of symmetry, this is done to maximize illumina- tion. a particular flashlight has its light source located 1 cm from the base and is 6 cm deep. what is the width of the flashlight's opening?Find the points on the hyperbolic cylinder x2 - z2 -1 =0 that are closest to the origin. please show detail and clear work. Thanks.Where does the normal line to the parabola y= x- x2 at the point (1, 0) intersect the parabola a second time? Illustrate with a sketch.
- Double integrate under the hyperbolic paraboloid z=x2-y2 on the triangular footprint made by the x and y axes and the line y=-x+1? Thank youA line tangent to the hyperbola 4x² −y² = 36 intersects the y-axis at the point (0, 4). Find the point(s) of tangency.SOLVE THE SYSTEM USING GAUSS-JORDAN REDUCTION METHOD. 2.1 USE “SINE” PROCEDURE. 2.2 USE “NOT-SINE” PROCEDURE.