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Q: Write the standard form of the equation of the circle with radius r and center (h, k). r = 9; (h, k)…

A: Standard equation of circle (X-h)2+(y-k)2= r2   Center (h, k)  Radius = r

Q: Describe a surface of revolution in your own words.

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Q: 3) Write the equation of the circle with the following characteristics (show work if there is a **):…

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Q: Describe and graph (using a computer) the surfaces a) yz = 4 b) x² - y² = 1 c) 4x² + y² + 4z² − 4y −…

A: a) yz = 4  This represent the hyperbola. And  y = -4 , z = -1  y = -2, z = -2  y = -1, z = -4 y = 2…

Q: What is the equation of the circle with center at (4, -5) and a point on the circle at (4, -2)? What…

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Q: Describe and graph (using a computer) the surfaces d) 4y² + z² − x − 16y - 4z + 20 = 0 e) x² - y² +…

A: The given surfaces are: d  4y2+z2-x-16y-4z+20=0e x2-y2+z2-2x+2y+4z+2=0f  fx,y=1x-y2 We have to…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

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

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Q: 20.) Question is attached!

A: If the equation of a circle is: then the center = (h,k)

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: explain the geometric relationship between the answer found in part b and the surface defined above

A: In part (b) we calculated gradient of F at (0, 1, 2).

Q: What is the equation of a circle in general form with center at C(8, – 9) and tangent to the y- axis…

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Q: Explain what it means for a surface to be orientable.

A: They are the surfaces for which we can define clockwise consistently. e.g. Cylinder and spheres are…

Q: Using phytagorean theorem, derived the standard equation of a circle.

A: Given :   Using phytagorean theorem, derived the standard equation of a circle.

Q: Use appropriate software to sketch each of the following surfaces and identify it. State the name of…

A: Using Geogebra graphing software to plot these 3D graphs. All are shown in the below images.   i)…

Q: find the equation of a sphere with the line segment AB as one of its diameters, where A(-3, 2, 1)…

A: We have to find the equation of a sphere with the line segment AB as one of its diameters, where…

Q: Find the points on the cone 22 = x2 + y? that are closest to the point (1,3,0)

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Q: Write the equations of the circle in general form : x^2 + y^2 +Dx+Ey+F=0. 1. The line segment…

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Q: On the graph below, Triangle ABC is dilated using the point (7, 4) as the center of dilation to…

A: Solution:- The step-by-step solution of the above question is given below.

Q: 4. What is the equation of a circle with radius 3 and center (3, 0)? A. x2 + y2 – 6x = 0 B. x2 + y?…

A: equation of the circle with radius 3 and center (3, 0) :(x-3)2+(y-0)2 = 32

Q: 4) Draw any four level curves (contours) of the surface given by the formula: -3z + 4x - 2y² = 0.…

A: Level curves: Let  is a quadric surface. A level curve is the cross section of the quadricsurface in…

Q: How would I sketch the level curves of the plane segment 2x+y+2z=8?

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Q: Discribe the topology through diagrams of surface and curves

A: Describe topology through diagrams of surface and curves.

Q: 1. Find the equation of a) a circle with center (2,-3) and passes through the point (5,-1). b) the…

A: a) Here given that center of circle is (2,-3). Since circle passes through the point (5,-1). So,…

Q: Find the image of the circle Iz| = 3 under the stereographic projection in the sphere.

A: We let G be a sphere in Euclidean three space. We want to obtain a picture of the sphere on a flat…

Q: Identify the circle that has center (6,-3) and radius 3. Select the correct answer below: O (x+3)² +…

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