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Discover Questions

Prove the following assertions involving arbitrary sets A, B, C: (a) A × (B ∩ C) = (A × B) ∩ (A × C) (b) (A ∪ B) × C = (A × C) ∪ (B × C)? 1. What is the limit of 5t/sin4t as t approaches 0? 2. What is the limit of sin6x/11x as x approaches 0? The limit h→0 (3+h)^2-9/h
represents the derivative of some function f(x) at some number a. Find f and a. f(x)=
a=? Find the equation of the line from the graph that passes through the point (−8,−10) and is parallel to the y-axis? What is the formula for the determinant of a 3 x 3 matrix. (see image)?

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