Question: Math - Axiomatic Systems (a) In R3, what is an equation for the Sphere with center (h, j, k) and radius r? (b) Every plane

Math - Axiomatic Systems

(a) In R3, what is an equation for the Sphere with center (h, j, k) and radius r? (b) Every plane in R3 has an equation of the form am + by + cz = d. Use this fact to write a two column analytic proof that if a plane and sphere with center (0,0,0) have at least two points in common, then their intersection is a circle. (c) Repeat (b) with a paragraph proof. (d) Repeat (b) with a \"ow chart\" proof

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