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Name: Perm number:

Test 2

Time: 75 minutes 1. Find the limit of f (y) = (y2+ 2y + 1)/(y + 1) at the point y = −1.

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2. Evaluate this sum: P4

n=0n3=

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3. Find the equation of the line passing through the points (-3,-5) and (5,-2).

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4. Solve the equation 2x= 5 · 3x. Give your answer in terms of logarithms to the base 10.

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5. A bank pays 7% interest compounded monthly. There is $1000 in the account in January 2008. In what year will there be one million dollars in the account? Give your answer in terms of logarithms to the base 10.

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6. How many years must a sample of Americium 241 (half life 458 years) be stored before it decays to 3% of its original mass?

Give your answer in terms of logarithms to the base 10.

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