The locus of points P(x, y) such that that PA + PB = 5 given coordinates A(3, 0) a B(-1, 0) is:« А an ellipse with centre at the origin В a hyperbola« C a line segment“ D an ellipse with centre (1, 0)- E a circle with centre at the origin

Q: An ellipse has parametric equations x = 4 cost and y=3sint. The coordinates of the x-axis intercepts…

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Q: defined by the show how you 3 find the center and radius for the circh following excation: x² + y² +…

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Q: What is the equation of a parabola with focus at (2,6) and directrixx = 8? %3D O y - 12y + 12z – 24…

A: Equating distance from directrix to distance from focus gives equation of parabola.

Q: 7) Determine the shape of the I point parabola with focus F(2,5/2) and directrix line y=7/2. *

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Q: (a) Find the center and radius of the sphere defined by x² + y² +2²-8x + 2y + 8 = 0. (b) Find the…

A: A sphere is object that is 3-D analogue to a 2-D circle. If its center at the point (a, b, c) and…

Q: Match the description of the conic with its standard equation. Hyperbola with vertical transverse…

A: We have to identify the standard equation of a hyperbola with vertical transverse axis. Let h,k be…

Q: Solve the following equation: 8*(11/2) < 42 equal 8*(11/2) < 42 = ??? Select one: O a. True (1) O b.…

A: Consider the given inequality as 8*112&lt;42. We have to check whether the above statement is true.…

Q: Q1/A- Find the center and radius of the sphere have equation x + 2x + y²-2y + 2²-6z=14. B- Find the…

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Q: Find an equation for the sphere with center at (-7,8,0) and radius = 9 O x2 + y? O x2 + y2 + z- -…

A: We have to find

Q: State whether the equation ()² + ()² + 8z² = 1 defines O a hyperboloid of two sheets a paraboloid…

A: Rewrite the given equation as x282+y232+z21222=1. It is of the form x2a2+y2b2+z2c2=1 which is the…

Q: The left panel of Figure 3 shows an elliptic hyperboloid of two sheets given by 4x²-y²-2²=1. The…

A: Given the elliptic hyperboloid 4x2−y2−z2=1.The plane 2x−y+z=k intersects the hyperboloid.(a)Given…

Q: Find a set of parametric equations for the graph of y = 4x² + 2 using the parameter t = x – 3 O x =…

A: Given parameter- t=x-3 Then,  x=t+3

Q: The foci of the ellipse with given equation y2 = 1 are 36 x2 25

A: The given ellipse has mjor axis along y axis.

Q: Find an equation of the Ellipse that has Foci (-1,-2) & (7, -2) and vertex (8, -2). (a-3)2 (y+2)? 1…

A: We need to find equation of ellipse.

Q: Find the equation of the sphere with center c= (0, -1, 2) and radius r= 5. O x2 + y + 1)2 + (z + 2)2…

A: Biref answer is given below.

Q: Find the equation of- 1.1)a sphere 1.1.1) passing through (1,0,0), (0,2,0), (0,0,3) and (0,0,0)

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: S1, Sz are two foci of the ellipse r+2y=2.P be any point on the ellipse The equation of locus of…

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Q: Let S be the quadric with equation 36x² –4y² –9z² – 36x = 0. Sketch a graph of the surface with…

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Q: What is the equation of the ellipse with the center at (0,0) that passes through the points (2,0),…

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Q: 1+x2 1. Describe the domain of f(x, y) = Vx2+9y2-1"

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Q: Find the center of the ellipse 16x² +9y² - 64x - 54y + 1 = 0 (a)_(-2, 3) (b) (-2, -3) (c)_(2, -3)…

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Q: What are the foci of the ellipse given by (z-3)2 (y-1)2 - = 1? 25 O (-4, 1) and (4, 1) O (3, 5) and…

A: Topic : foci of an ellipse

Q: The center of the hyperbola 25x² – y + 150x – 6y+191=0 is %3D A (-3,-3) B (3,-3) (3,3) D (-3,3)

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Q: 25. Match each of the ellipsoids in Figure 14 with the correct equation: (b) 4x² + y² + 4z² = 16 (a)…

A: Match the ellipsoid in the given figure with the correct equations and the given equations are as…

Q: (7 – 2)2_ (y – 1)? A D 2. Using the equation 1 find the center. 9. 4 center point = (21, y1) = (2,…

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Q: If ƒ (§) = $c 4z²+z+5 dz, where C is the ellipse 12+ 2 = 1 z- 4 9 Find ƒ(i),ƒ(i),ƒ'(−1) and ƒ"(−1)

A: Step 1: Given function is:                                                   f(ξ)=∮C​z−ξ4z2+z+5​dz…

Q: Find the equation of the ellipse with the major axis from (-9,2) to (1,2) and minor axis from (1,-1)…

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