Question 11 The equation x2 + 4y2 = 4 in three-dimensional space is an equation of %3D which surface? O Cylinder O Ellipse O Sphere O Plane

Q: A hyperbola has its vertices at (0, 4) and (0, - 4), and one focus is at (0, What equation describes…

A:

Q: Question 7 The equation of the sphere with center (5, 6, 5) and satisfied by the point (6, 3, - 1)…

A:

Q: 19-22 Show that the equation represents a sphere, and find its center and radius. 20. x² + y² + z² =…

A:

Q: Question 15 Reduce the equation to one of the standard forms of a surface in space. Name the…

A: Given equation is Rewriting the equation:

Q: Question 2 Given the equation -4x² + 40x - 4y² - 32y - 4z² +24z = -200 ] Show that the given…

A: We find center and radius of the following sphere.…

Q: Question 3 Given the following general equation of a hyperbola, find the center: 4(x²-8x) – (y²+4y)…

A: Solving the problem by obtaining the centre from standard form.

Q: Question 20 Given the equation -4x² + 8x - 4y² – 56y - 4z² + 32z = -312 - a) Show that the given…

A:

Q: Question 7 Identify the conic section as a parabola, ellipse, circle, or hyperbola: The set of all…

A:

Q: Question 2 of 10 Typically, a point in a three-dimensional Cartesian coordinate system is…

A: Given : A point in a three dimensional Cartesian coordinate system is represented

Q: Question 8 (2 marks) The graph of (=) + (2) + (-) = 1 is a plane for any nonzero numbers a, b, and…

A: Solution

Q: Question 2 Given the equation −4x² + 8x − 4y² − 56y − 4z² + 32z = -312 a) Show that the given…

A: I am attaching image so that you understand each and every step.

Q: Question 6 of 10 A regular tessellation is a tessellation that uses only one regular________ to…

A: To fill in the blanks.

Q: Question 2 [ Given the equation -5x² + 30x - 5y² - 10y - 5z² - 90z = 21 a) Show that the given…

A:

Q: Question 4 The equation ( x - 2) 2 + (y2 + 5) 2 + (z - 1) 2 = 16 represents a: O parabolic cylinder…

A: As we know that equation of sphere is (x-h)2+(y-k)2+(z-g)2=r2  centered at the point (h,k,g) As per…

Q: 1Q Find the equations for the spheres whose centers and radii is given Center (0, -1, 5) (-1, 1/2,…

A:

Q: Question 2 Given the equation -5x² + 10x - 5y² - 80y5z² + 60z = −340 a) [1.. Show that the given…

A: This question is based on standard equation of sphere.

Q: Question 20 Given the equation -4x² + 8x - 4y² - 56y - 4z² + 32z = -312 a) Show that the given…

A:

Q: The surface of equation + = 1 is: A cone O An ellipsoid O A sphere O A circular cylinder

A: The given equation is, x24+y29+z216=1

Q: QUESTION 4 What are the z-traces of the surface x2+ y? +z=5? O a. Circles. b. Ellipses. c.…

A:

Q: Question 24 Fit a least-squares parabola having the form y = a + bx + cx- to the given data. 1.2 1.8…

A:

Q: • Question 3 A conic section has equation 25a +100z + 4y + 32y + 64 The conic section is a O…

A: Make perfect square and solve

Q: Question 18 Which of the following equations represents a hyperbola? 3a? + 2y? – 2x = 0 3x? – 2y +…

A: The given equations comparing with ax2+2hxy+by2+2gx+2fy+c=0.

Q: QUESTION 10 Consider the equation Z =X-y'.Which of the following shapes does the graph have in…

A:

Q: 14. Write the equation of the hyperbola centered at (4, 2). The length of the vertical transverse…

A:

Q: Question 4 Which equation represents an ellipse with focal points at (3, 2) and (-9, 2), a minor…

A: A detailed solution is given below.

Q: QUESTION 1 For the plane area shown in the figure below, determine the location of the centroids…

A: Answer is mentioned below

Q: Question 11 (a) Find an equation of the plane passing through the points (0, 1, 0). (-1, 3, 2), and…

A: Given points are x1,y1,z1=0,1,0 , x2,y2,z2=-1,3,2 and x3,y3,z3=-2,0,1

Q: Question 01: Find the equation of the sphere which passes through the points (1, 0, 0), (0, 1, 0)…

A: Find the equation of the sphere which passes through the points 1,0,0, 0,1,0 and 0,0,1 and has its…

Q: Question 20 Determine the vertex V, focus F, and the equation of the directrix of the parabola (y-…

A:

Q: Mödule 9: Conic Sections 5. A planetary orbit can be expressed by the equation TAD0 + 0 =1. What is…

A: See the explanation below

Q: Question 12 Which of the following sections cannot be obtained from a cone? Select one: O A.…

A: if we cut the cone horizontally we get circle

Q: QUESTION 4. Find the points on the sphere x' +y +z=1. that are closest to and farthest from the…

A:

Q: Question 5 A cylinder is inscribed in a fixed cone of radius 2c and height c. The vertical axis of…

A:

Q: Question 6 of 17 Find an equation of the parabola with vertex (1, 4) and directrix x=-3.

A: Given that vertex of parabola (1,4) and directrix x=-3  To find the question of parabola  Again…

Q: Question 10 The equation of the ellipse that has a center at (5, 1), a focus at (8, 1), and a vertex…

A: Detailed solution is given below.

Q: the problem. 4) A bridge is built in the shape of a semielliptical arch. It has a span of 106 feet.…

A:

Q: Question 1 of 40 What is the shape of the cross-section formed when a cylinder intersects a plane as…

A:

Q: Question 4 Which of the following is NOT a method for finding volume of solids of revolution? A…

A: Please see the below picture for detailed solution.

Q: QUESTION 2 What is the best descriptor of the object in three-dimensional space given by the…

A: Solution :-

Q: Question 20 Given the equation −4x² + 8x − 4y² − 56y − 4z² + 32z = −312 - a) Show that the given…

A:

Q: 1-2 AABC equilateral with side 10 cm. D and E midpoints. Determine the perímeter of the rectangle…

A:

Q: Question 2 Given the equation -5x² + 30x - 5y2 - 10y - 5z2 - 90z – 5z² 90z = 210 a) Show that the…

A:

Q: 18/2 12- ww ww w -9 -6 -12 -18 x2 y? 1. Identify a and b for the hyperbola with equation 3.

A:

Q: Question 2 Given the equation −4x² + 8x − 4y² − 56y - 4z² + 32z = -312 a) Show that the given…

A:

Q: Question 6 In the zy-plane, what is the r-coordinate of the vertex of the parabola whose equation is…

A: To find the x-coordinate of vertex

Q: Question 1 Find the equation of a parabola that has a vertex of (-5, -3) and contains the Standard…

A:

Q: Which of the following is an equation of a Hyperboloid of Two Sheets? O z² = 1 - x² - y² %3D Ox2 -…

A:

Q: Question 10 The equation of the hyperbola that has a center at (10, 6), a focus at (15, 6), and a…

A:

Q: QUESTION 2 What is the best descriptor of the object in three-dimensional space given by the…

A: