Determine whether the geometric series converges or diverges. If it converges, find its sum.
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Solve the problem.A mathematician has found 5 solutions to a homogeneous system of 40 equations in 42 variables. The 5 solutions are linearly independent and all other solutions can be constructed by adding together appropriate multiples of these 5 solutions. Will the system necessarily have a solution for every possible choice of constants on the right side of the equation? Explain.
What will be an ideal response?
Fill in the blank with one of the words or phrases listed below.
The process of eliminating the radical in the denominator of a radical expression is called 
.
A. principal square root B. rationalizing the denominator C. conjugate D. radicand
Simplify.log3 32
A. 32 B. 2log33 C. 1 D. 2