### Solve the following by factoring

Please provide a step by step solution. Please see attached file.

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Please provide a step by step solution. Please see attached file.

Prove the annulus A={z in (the set)R^2 : r <= |z| <= R} is connected. Is it sufficient to show that the annulus is homomorphic to the circle, and then since circle is connected, so is the annulus ? If so, how do you show it, if not, can you shed light on another method?

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The impact of mathematics on daily social activities with specific examples of how the mathematical developments affected society.

Please help, figured out first two primes but am having allot of problems figuring out the third prime. Also need help with additional problem. Thanks Find lim x ->∞ ( (3x-2) / (3x+2) )^x (3x - 2)^x / (3x+2)^x = lim x ->∞ f'(x)/g'(x) x(3x - 2)^(x-1)*(3)/ x(3x-2)^(x-1)*(3) =(3x - 2)^(x-1)/ (3x

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Please see the attached file for the fully formatted problems. keywords: integration, integrates, integrals, integrating, double, triple, multiple keywords : find, finding, calculating, calculate, determine, determining, verify, verifying, evaluate, evaluating, calculate, calculating, prove, proving

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Any help would be appreciated on finding area of region, total cost function, midpoint rule. marginal cost. (See attached file for full problem description) --- A. Find the area of the region bounded by y=1/x and 2x + 2y=5 B. Find the area of the region bounded by the graphs of y= -x^2 + 2x and y=0 C. Find y=f

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