3, (b) the square with vertices at z 0, 2, 2i, and 2 + 2i, Evaluate scždz around (a) the circle lz -2 (c) the ellipse lz 3 z+3 10.

Q: quation of the hyperb

A: Given,      z=-16

Q: Find the family of curve that intersects the family of hyperbolas y² = 2x² +b at an angle arctan(1).

A: To find the family of the curve that intersects the family of hyperbolas y2=2x2+b at an angle…

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: 1. Find the equation for the parabola that has its vertex at the origin and has directrix at y = 25…

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Q: There is a parabola which has a minimum where the two lines 3x+6y-1=0 and 2x+ y-2=0 intersect. The…

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Q: Let S be the quadric with equation 36x² – 4y² – 9z2 – 36x = 0 • Classify the graph of S…

A: Given, S is the quadric with the equation                                36x2-4y2-9z2-36x=0

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: 5. Find the equation for the sphere whose center is at (-1, 1/12-13) and radius is

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Q: Explain why it is not possible for a hyperbola to have foci at (0, -2) and (0, 2) and vertices at…

A: The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the y-axis…

Q: 5. Determine the equation of a hyperbola having vertices ( 0,±4) and asymptotes y ±2x

A: Compairing with the given information we have

Q: 3. Find an equation for the hyperbola with center C(0,0), foci F(0,±9), and vertices V(0,+7).

A:

Q: 3. Where do the asymptotes intersect for the hyperbola y = ( 2x +3 ) / ( 8x +5 ) O ( 3/8 , 2/5 ) O…

A: Given : Hyperbola y =2x + 38x + 5   To find the asymptotes.

Q: Consider the parabola C: z-4 = -(x - 2)² on the rz-plane. 1. Find the center-radius form of the…

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Q: The graph of x2+y2+z2-14y=0 is a sphere. what are the center and radius of the sphere?

A: Given    Equation of sphere  x2+y2+z2-14y=0To calculate:-     Center  and  radius  of the sphere.

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

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Q: 17. Find an equation in standard form for the circle centered at (7,–2) with radius 8. A. (x – 7)² +…

A: I have appended the formula used in the solution part.

Q: 2. Find an equation of the sphere that passes through the point (2, 3, –1) and has center (-3, –1, –…

A:

Q: 4) FIND THE EQUATION OF A HYPERBOLA WITHA CENTER AT (2, 2), VERTICES AT (-1, 2) AND (5, 2), AND FOCI…

A: A hyperbola with a center at (2,2), vertices at (-1,2) and (5,2), foci at (-3,2) and (7,2).

Q: Determine the vertices of the hyperbola. (y - 3)2 - (x + 5)2 = 1 4 9 (х, у) %3D (smaller y-value)…

A:

Q: 5. What is the standard for equation of a parabola with its vertex at (0,0) and a directrix of x-3?…

A: Given: A parabola has vertex 0, 0 and directrix x=3      ……1   To find: Equation of parabola

Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

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Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at y 27…

A: Given: y=-127.

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: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

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Q: Q1 Write down equation of the hyperbola whose focuses are at Fi(-1, –1) and F2(1,1) having the major…

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Q: 9. Identify the center and radius of a circle with equation (x-7) +(y+6) = 16. Ocenter at (7,-6);…

A: Given problems:-

Q: The hyperbola with vertices at (0, 3) and (o, - 3) and foci at (0, 5) and (0, - 5) has the equation…

A:

Q: 7. Find an equation in standard form for the ellipse with center at (5,7), horizontal major axis of…

A:

Q: Find the standard form equation for a hyperbola with vertices at (0, 3) and (0, – 3) and asymptote y…

A:

Q: 4 - Find an equation of the Planc perpendicular to each of the planes X-y +2=0 and 2x ty - 4z -5 =0…

A: A detailed solution is given below

Q: İThe hyperbola with vertices at (0, 3) and (0, - 3) and foci at (0, 5) and (0, - 5) has the equation…

A: The objective of the question is determine the equation of the hyperbola and choose the correct…

Q: O An ellipse in the plane x axis, minor axis of length 14 parallel to the y-axis. = 1, center at (1,…

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Q: Determine the coordinates of points A and B on a parabola y midpoint of AB is as close as possible…

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Q: Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that…

A: Given equation 2x2+72y2=72which can be writtenx236+y21=1

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

A:

Q: 1. Determine the equation of the parabola whose vertex is at the point (-1, –1) and whose directrix…

A: We have to determine the equation of the parabola whose vertex is at the point (-1,-1) and whose…

Q: 4) Find the distance from the point (1, 2, – 1) to the plane 2x+y- 2z = 1.

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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: 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: Find the standard form equation for a hyperbola with vertices at (0, 2) and (0, – 2) and 1 asymptote…

A:

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: 9. Find an equation of the parabola that satisfies the given condition: Vertex V(-1,0) and focus…

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Q: ) and hyperbola xy = 3 Show thet the ellipse x +3f=3 interseet of right ongle

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Q: 8. Write the equatlon of an ellipse with minor axis endpoints (co-vertices) at (0, 3) and (0, -3)…

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Q: A hyperbola is defined by the equation x2 - y2 - 2x - 4y - 4 = 0. Its center is at the point (-1, 2)…

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Q: Find the point P on the parabola y = x2 closest to the point (57, 0). (х, у) %3D ]-«

A: Given the equation of parabolay=x2         ........(1)

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

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Q: 2. Find the equation of the hyperbola whose asymptotes are perpendicular to the lines 5x – 4y +9 = 0…

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Q: 33) Find the points of intersection between the line x - y - 2 = 0 and the parabola y = 4 - x 2.

A: