1.) Consider the sphere: (X + 1) + y+(-3) = 4 (a) What are the center...

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1.) Consider the sphere: (X + 1)² + y²+(-3)² = 4 (a) What are the center and radius of this sphere? (b) Find an equation of the circle (if any) where the sphere intersects the three coordinate planes. 2.) Describe in words, write equations, and give a sketch for the following set of points. Consider the set of points (x,y,z) whose distance from the yz-plane is 3. 3.) Describe in words the intersection of the surfaces = √²+² and = 7-6(x² + y²) 4.) For what values of the constant k is the intersection between the set of points y =x and the graph of f(x, y) = 42² -ky a straight line? Explain you how you know this answer. 5.) Describe the set of points whose distance from the y-axis equals the distance from the xz-plane. 1.) Consider the sphere: (X + 1)² + y²+(-3)² = 4 (a) What are the center and radius of this sphere? (b) Find an equation of the circle (if any) where the sphere intersects the three coordinate planes. 2.) Describe in words, write equations, and give a sketch for the following set of points. Consider the set of points (x,y,z) whose distance from the yz-plane is 3. 3.) Describe in words the intersection of the surfaces = √²+² and = 7-6(x² + y²) 4.) For what values of the constant k is the intersection between the set of points y =x and the graph of f(x, y) = 42² -ky a straight line? Explain you how you know this answer. 5.) Describe the set of points whose distance from the y-axis equals the distance from the xz-plane.

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