Part A Given A(0,2,3) B(1,0,2), C(0,0,1), (1) find AB (2) find the midpoint of the line segment BC (3) write an equation of the sphere with center A and radius 3

Q: What are the foci of the ellipse? 49 42 O (2+ v7, 1) o (2+ 7, -1) o (tyī, 1) o (12/7, - 1)

A:

Q: Project: S is a surface in R° with equation x² +y² – z² = 1. The point P (2,1,2) lies on this…

A: Clearly : x-z = 0 and y+1 = 2. So, we can write: 1.(x-z) = 0.(y+1). So, L1 can be written…

Q: 8. Vertex: (0,0); Opens down; Distance from vertex to focus: 1 unit

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Q: Use the parameter to write parametric equations representing the given curve. Hyperbola with center…

A: Step 1:

Q: Write the equation of the sphere in standard form. 9x? + 9y? + 9z2 = 36x – 12y – 24

A: The givne equation of the sphere is 9x2+9y2+9z2=36x-12y-24

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

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Q: o (x- 1)² + (y + 3)² = 4

A: Any point on the Cartesian coordinate system is represented by the ordered pair: x, y. The equation…

Q: Solve as indicated. 1. Find the center and the radius of the following equations. Equation of the…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question. If u want more to be…

Q: Find the parametric equations and the symmetric equations of the line that passes through the points…

A: Given: A line is passing through the points P-1, 4, 3 and Q8, 10, 5.

Q: Find an equation of the sphere that passes through the origin and whose center is (3, 4, 2). Need…

A: First we have to write general equation of sphere.

Q: Write the equation of the sphere in standard form. 2x² + 2y² + 2z² = 4x - 20z + 1 Find its center…

A: The equation of the sphere is  2x2+2y2+2z2=4x-20z+1

Q: Write the equation of the sphere if (3, 4, 7) and ( - 5, 6, – 3) are the end points of a diamter of…

A: (3,4,7) and (-5,6,-3) are the end points of the diameter of a sphere.

Q: An ant is walking around an ellipse (as seen below). The ant starts at the top and walks around in a…

A: Given: An ant is walking around an ellipse. The ant starts at the top and walks aroundin a clockwise…

Q: (Write the answer in your own handwriting, scan and then upload the pdf file) a) Find the distance…

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