13. Sketch the intersection of each of the following with the plane shown: Cube Remainder of unseen figure completes the cube (a) (b) Sphere Right pentagonal prism (c) (d) Right circular cone (plane parallel to base) Right circular cylinder (plane not parallel to base) (e) (f) (4-)

Q: 1. Consider the parabola with focus point (1, 1) and directrix the horizontal line y = -3. a) What…

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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: Which three dimensional figures when sliced by a plane cannot have a cross section that is a square?

A: When a rectangular pyramid is sliced by a plane then the obtained section will not be square.

Q: The plane ४/७ Incorrect y + + 6 4 SAPOR = 12 NIS = 1 intersects the x-, y-, and z-axes in points P,…

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Q: Find ZJ. K 92° 45° M 88° 45° 135° 108°

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Q: 2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the…

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Q: Consider the sphere (x − 4)² + (y − 3)² + (z − 5)² = 25 (a) Does the sphere intersect each of the…

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Q: Eliminate the parameter and obtoin the standerd formt 7,) of the rectongular equation. Circle:…

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Q: 10. The distance between the point (3,-2,5) and the plane 2x+2y+z=5 is NONE

A: Given: The distance between (3,-2,5) and the plane 2x+2y+z=5

Q: (10) Find the distance of (3,-1,2) from each of the following: a) line: x = 1+ 2t, y = -t, z = 1-t…

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Q: What is the distance between the point (4,-&, 1) and the plane 5x-z= 2y+5?

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Q: How do I find the equation for the surface consisting of all points P for which the distance from P…

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