SOLUTION: Dear sir! Please solve this question. Q 1. Write down an equation or equations for each of the following. a. A plane parallel to xy-plane at a distance

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Question 165480: Dear sir!

Please solve this question.
Q 1. Write down an equation or equations for each of the following.
a. A plane parallel to xy-plane at a distance of 4 units from origin on negative z-axis.
b. A curve produced due to the intersection of a circular cylinder and yz-plane. Center of this circular cylinder is x-axis (that is, cylinder is around x-axis) and its radius is one.
c. A curve produced due to the intersection of a sphere, center at origin and radius 3, and xy-plane.

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Please solve this question.
Q 1. Write down an equation or equations for each of the following.
a. A plane parallel to xy-plane at a distance of 4 units from origin on negative z-axis.
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z = -4. For all values of x and y, z is 4.
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b. A curve produced due to the intersection of a circular cylinder and yz-plane. Center of this circular cylinder is x-axis (that is, cylinder is around x-axis) and its radius is one.
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The intersection is a circle about the origin.

c. A curve produced due to the intersection of a sphere, center at origin and radius 3, and xy-plane.
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This is also a circle about the origin. Any plane intersecting a sphere will be a circle.