Derive the following result. You may do so either “algebraically” using the properties listed in Theorem 6.2.2, being sure to give a reason for every step, or you may use the element method for proving a set equals the empty set.

For all sets B and C, (B ? C) ? B = ?.




Mathematics

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Use Lagrange multipliers to find the minimum value of the function subject to the given constraints.

Mathematics

Solve the problem.A block is attached to a spring and set into motion. For this block and spring, the location on the surface at any  is given in meters by  Find the maximum distance reached by the block from the resting position.

A. 6 m
B.  m
C. 12 m
D. 2 m

Mathematics

Write standard form and identify a, b, and c.2x2 = 5x - 4

A. 2x2 + 5x - 4 = 0; a = 2, b = 5, c = -4 B. 2x2 - 5x + 4 = 0; a = 2, b = -5, c = 4 C. 2x2 + 5x + 4 = 0; a = 2, b = -5, c = -4 D. 2x2 - 5x = -4; a = 2, b = -5, c = -4

Mathematics

Divide.325 ÷ 20

A. 15 R 11 B. 16 R 5 C. 16 D. 14 R 7

Mathematics