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  3. 1a. find the equation of a tangent line to the cur

1a. Find the equation of a tangent line to the curve f(x) = ln(2?x)/x + 3x...

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Basic Math

1a. Find the equation of a tangent line to the curve f(x) =ln(2?x)/x + 3x at the point (1, 3).

1b. Suppose the following function is defined implicitly by theequation, Find dy/dx x^2 ? 3y^2 + 6e^x = 4x^2y + 5

2. Using only the definition of derivative as a limit, calculatef(x) where f(x) = 1/x ? 5

3. One thousand dollars is invested at a rate of 3%

a) How much money will be in the account in 8 years if interestis compounded every 3 months?

b) How long will it take for the initial investment to double ifinterest is 3% and compounds continuously?

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